1 00:00:14,820 --> 00:00:18,630 It appears that there are extra aspects to relativity that 2 00:00:18,630 --> 00:00:22,740 suddenly show up in quantum mechanics as extra dimensions of 3 00:00:22,740 --> 00:00:31,200 time. The conceptual point of origin, where space and time 4 00:00:31,260 --> 00:00:36,390 appear to have begun is known as the Big Bang singularity, here, 5 00:00:36,960 --> 00:00:44,010 space time is reduced to a single point. On the other hand, when 6 00:00:44,010 --> 00:00:47,910 viewed through the lens of three dimensional time, he becomes 7 00:00:47,910 --> 00:00:53,880 nothing more than a temporal vanishing point. It can be argued 8 00:00:54,180 --> 00:00:58,230 that modern cosmology is a collection of artifacts resulting 9 00:00:58,260 --> 00:01:05,550 from limiting time to a single dimension. We are left with the 10 00:01:05,550 --> 00:01:11,220 possibility that half the visible matter is actually anti particles. 11 00:01:12,000 --> 00:01:16,230 How can this be given that these anti particles are supposed to be 12 00:01:16,230 --> 00:01:21,900 missing? Where are they? Well, apparently, right here, 13 00:01:22,800 --> 00:01:28,170 everywhere, but going backwards in time, relative to the rest of 14 00:01:28,170 --> 00:01:35,070 matter. matter then, is composed of particles and anti particles as 15 00:01:35,070 --> 00:01:40,350 an alternating standing wave or a superposition within a time loop. 16 00:01:41,490 --> 00:01:46,080 Besides the characteristics of mass and energy, these loops take 17 00:01:46,080 --> 00:01:51,120 on the additional characteristics of charge and spin. Using tempo 18 00:01:51,120 --> 00:01:55,860 mechanics, cross conjugation unveils an innovative form of 19 00:01:55,860 --> 00:01:59,550 symmetry that appears to be showing up in new physics 20 00:01:59,550 --> 00:02:05,640 experiments through a variety of new fangled anomalies. We are now 21 00:02:05,640 --> 00:02:09,600 fully prepared to examine the mechanism of cross conjugation, 22 00:02:09,960 --> 00:02:14,010 and how it corresponds with both general relativity and quantum 23 00:02:14,010 --> 00:02:14,640 mechanics. 24 00:03:03,990 --> 00:03:09,060 We are all time travelers drifting through time at a steady pace, one 25 00:03:09,060 --> 00:03:13,440 moment at a time. In what direction? Are we moving through 26 00:03:13,440 --> 00:03:18,510 time? Or does it move through us? How many dimensions of time are 27 00:03:18,510 --> 00:03:23,520 other? Let's begin with a single dimension of time. An ordinary 28 00:03:23,520 --> 00:03:28,860 clock ticking off regular time is extension along a single direction 29 00:03:29,130 --> 00:03:35,580 of time. Likewise, in nearby locations, clocks tick off time in 30 00:03:35,580 --> 00:03:40,170 sync with our clock. One could argue that all these clocks are in 31 00:03:40,170 --> 00:03:43,830 the same temporal frame of reference undergoing the same time 32 00:03:43,830 --> 00:03:48,930 period during the same present moment. This concept is similar to 33 00:03:48,930 --> 00:04:00,120 a spatial dimension, but in a direction of time instead. Each 34 00:04:00,120 --> 00:04:05,280 time the clock ticks, we extend further along some direction of 35 00:04:05,280 --> 00:04:12,540 time. However, it's an established fact that the rate of the passage 36 00:04:12,540 --> 00:04:17,130 of time can dilate or contract under special circumstances. 37 00:04:17,970 --> 00:04:22,470 According to Einstein's theory of special relativity, time slows 38 00:04:22,470 --> 00:04:26,400 down relative to accelerations near the speed of light. While 39 00:04:26,400 --> 00:04:30,270 according to his theory of general relativity, time slows down 40 00:04:30,270 --> 00:04:32,340 relative to gravitational fields. 41 00:04:32,700 --> 00:04:36,360 What's interesting is time travel relative to other people. To do 42 00:04:36,360 --> 00:04:39,420 that, start walking, and you'll travel through time relative to 43 00:04:39,420 --> 00:04:42,420 someone standing still, we've known for over a century that time 44 00:04:42,420 --> 00:04:45,360 and space are really just two components of a single space time 45 00:04:45,390 --> 00:04:48,180 and the faster you move, the slower time will pass for you. 46 00:04:54,360 --> 00:04:58,290 Let's apply the concept of time dilation to our scenario. 47 00:04:59,610 --> 00:05:02,880 If you want A reference frame which moving along it's been V, it 48 00:05:02,880 --> 00:05:06,540 turns out that your clocks move more slowly than things that are 49 00:05:06,540 --> 00:05:09,540 stationary relative to you. So in fact, if you were to just watch 50 00:05:09,540 --> 00:05:12,510 the speed at which the time was ticking away on a clock in 51 00:05:12,510 --> 00:05:15,480 something that's moving at some velocity V, it actually moves more 52 00:05:15,480 --> 00:05:19,410 slowly than the clocks that are stationary. And the factor by 53 00:05:19,410 --> 00:05:22,740 which it moves more slowly is one over the square root of one minus 54 00:05:22,740 --> 00:05:25,950 v squared over c squared, where v is the speed at which the 55 00:05:25,950 --> 00:05:29,370 reference frame is moving and sees the speed of light. This idea that 56 00:05:29,610 --> 00:05:32,550 the rate at which time progresses depends on what reference frame 57 00:05:32,550 --> 00:05:35,460 you're in is, is pretty bizarre, but there's very strong 58 00:05:35,460 --> 00:05:37,740 experimental evidence that he actually really work. 59 00:05:41,280 --> 00:05:45,090 Assume that the second wave has no time dilation associated with 60 00:05:48,180 --> 00:05:51,870 more gravity makes time slow down to if you stand up for a minute, 61 00:05:51,900 --> 00:05:55,230 your feet will aged less than your head. On the other hand, GPS 62 00:05:55,230 --> 00:05:58,080 satellites high in orbit experience less of Earth's gravity 63 00:05:58,080 --> 00:06:00,690 and thus travel noticeably faster through time than we do. 64 00:06:05,880 --> 00:06:10,830 On the other hand, the SU the third wave undergoes to fear time 65 00:06:10,920 --> 00:06:12,570 traction, instead. 66 00:06:29,310 --> 00:06:33,690 juxtaposing all three paths together, we can see that I would 67 00:06:33,690 --> 00:06:38,010 undergo the same time period at different present moments based on 68 00:06:38,010 --> 00:06:42,030 relative rates of the passage of time, whether I go to the first, 69 00:06:42,150 --> 00:06:47,460 second or a third path. Time can evolve from one instance to 70 00:06:47,460 --> 00:06:52,620 another through varying present moments or time periods, or 71 00:06:52,800 --> 00:06:58,590 varying time periods her present moments in this way, relative time 72 00:06:58,590 --> 00:07:03,420 suggests at least two time dimensions, namely, present 73 00:07:03,420 --> 00:07:08,580 moments of time, and periods of time. There isn't any 74 00:07:08,580 --> 00:07:13,590 characteristic that distinguishes present moments from time periods 75 00:07:13,590 --> 00:07:17,790 per se, other than being set perpendicular relative to one 76 00:07:17,790 --> 00:07:21,210 another. Similar to the relationship between x and y 77 00:07:21,210 --> 00:07:26,400 coordinates. Notice the passage of time can be sped up or slowed down 78 00:07:26,430 --> 00:07:31,050 independent the ratio between time periods to present moments or vice 79 00:07:31,050 --> 00:07:36,900 versa. Furthermore, the passage of time can run backwards. These 80 00:07:36,900 --> 00:07:41,160 varying rates of the passage of time, separate from time periods 81 00:07:41,160 --> 00:07:48,030 and present moments imply a third dimension of time. passage. Given 82 00:07:48,030 --> 00:07:52,560 the mathematical stability of three dimensional space, the same 83 00:07:52,560 --> 00:07:57,360 idea can also be applied to time. A slightly allegorical at first, 84 00:07:57,780 --> 00:08:02,070 three dimensional time offers physics new parameters, accounting 85 00:08:02,070 --> 00:08:05,790 for conventional and exotic physical phenomena, while 86 00:08:05,790 --> 00:08:09,690 maintaining the conservation of energy and symmetry groups found 87 00:08:09,690 --> 00:08:15,510 in physical law. When I was in my late teenage years, I asked my 88 00:08:15,510 --> 00:08:19,470 great grandmother if time seemed to go by faster for her as she got 89 00:08:19,470 --> 00:08:23,610 older, she laughed and said, it seemed like she could just sit on 90 00:08:23,610 --> 00:08:27,060 her porch and watch the grass grow. astounded by the 91 00:08:27,060 --> 00:08:31,500 possibility, my mind began to wander, I remembered anticipating 92 00:08:31,500 --> 00:08:36,540 my fifth birthday, it seemed like an eternity, whereas at the time, 93 00:08:36,840 --> 00:08:40,830 week didn't seem so long. And according to my great grandmother, 94 00:08:41,070 --> 00:08:45,780 when you're old, you're seem to fly on by assuming this to be 95 00:08:45,780 --> 00:08:50,310 true. If two people experienced the same event, like a 96 00:08:50,430 --> 00:08:54,720 conversation at different rates of the passage of time, what is 97 00:08:54,720 --> 00:08:58,590 actually happening during the conversation? Are they sharing the 98 00:08:58,590 --> 00:09:02,700 same moment, in some weird way? Or are they actually in two different 99 00:09:02,700 --> 00:09:08,100 moments relative to one another. As we sat and talked, I wonder 100 00:09:08,100 --> 00:09:11,520 this shoe is further in the future relative to me, experiencing the 101 00:09:11,520 --> 00:09:15,600 time at a faster rate, and whether or not I was in the past relative 102 00:09:15,600 --> 00:09:19,800 to her experiencing time at a slower rate. This would mean we 103 00:09:19,800 --> 00:09:23,370 were not experiencing the exact same moment at the same time 104 00:09:23,520 --> 00:09:27,870 relative to one another. Relative to my great grandmother, she would 105 00:09:27,870 --> 00:09:31,470 experienced this conversation before I would and relative to me, 106 00:09:31,740 --> 00:09:35,670 I've experienced this conversation after she did. But this could only 107 00:09:35,670 --> 00:09:38,400 be possible to separate conversations were happening 108 00:09:38,400 --> 00:09:42,900 simultaneously, but skewed relative to one another. The 109 00:09:42,900 --> 00:09:46,050 quicker variation, the conversation relative to my great 110 00:09:46,050 --> 00:09:49,350 grandmother, would be slightly ahead of the slower variation of 111 00:09:49,350 --> 00:09:54,750 the conversation relative to me. However, this implied that the 112 00:09:54,750 --> 00:09:58,860 great grandmother relative to herself, exists distinctly 113 00:09:58,860 --> 00:10:03,240 separate from the great Grandmother relative to me. This 114 00:10:03,240 --> 00:10:07,800 would also mean that there exists a me relative to great grandmother 115 00:10:07,800 --> 00:10:13,890 that wasn't me, me distinctly separate from me. As I 116 00:10:13,890 --> 00:10:18,360 contemplated, I wondered, how many hers and me's could there possibly 117 00:10:18,360 --> 00:10:23,310 be. There would have to be a different great grandmother and a 118 00:10:23,310 --> 00:10:28,410 different knee, relative to each and every other variation. In 119 00:10:28,410 --> 00:10:32,010 other words, there appeared to be infinite variations of everything 120 00:10:32,010 --> 00:10:38,340 spread out over infinitude of dimensions. Can we ever be able to 121 00:10:38,340 --> 00:10:41,970 measure and distinguish different rates of the passage of time, and 122 00:10:41,970 --> 00:10:45,420 work out whether or not these bizarre implications were real? 123 00:10:46,830 --> 00:10:50,970 consumed, I began to work on calculations to solve this riddle, 124 00:10:51,180 --> 00:10:55,140 unfamiliar with Lorentz transformations point carry groups 125 00:10:55,140 --> 00:10:59,370 or geodesics. At the time, I had no suspicion that the calculation 126 00:10:59,370 --> 00:11:03,090 I was working on would have any implication on physics, it seemed 127 00:11:03,090 --> 00:11:06,570 at the time to be nothing more than a mind puzzle, or insight 128 00:11:06,570 --> 00:11:08,730 into our perceptions of time at best. 129 00:11:09,990 --> 00:11:14,010 Later, during a physics course at the university, I could see 130 00:11:14,010 --> 00:11:18,420 exactly how this calculation could be applied to physics. But instead 131 00:11:18,420 --> 00:11:21,810 of corresponding to subjective experiences of different rates of 132 00:11:21,810 --> 00:11:25,860 the passage of time, I saw how the calculation could be applied to 133 00:11:25,860 --> 00:11:29,700 relative frames of reference in a way that apparently hadn't been 134 00:11:29,700 --> 00:11:32,100 tried out yet, which seemed very odd to me. 135 00:11:35,460 --> 00:11:39,660 Imagine that at some point in the near future, we have the 136 00:11:39,660 --> 00:11:44,760 technology to perform the twin paradox experiment with a set of 137 00:11:44,760 --> 00:11:49,980 real life fraternal twins, and a spaceship that can travel near the 138 00:11:49,980 --> 00:11:55,170 speed of light. Let's assume that these twins initially experience 139 00:11:55,350 --> 00:11:59,970 the same rate of the passage of time. As soon as the traveling 140 00:11:59,970 --> 00:12:06,120 brother Bob begins to accelerate towards relativistic speeds, Bob's 141 00:12:06,120 --> 00:12:11,760 rate of the passage of time begins to slow relative to Alice is more 142 00:12:11,760 --> 00:12:16,020 stationary sister, whose rate of the passage of time begins to 143 00:12:16,020 --> 00:12:25,290 increase relative to Bob. Since Bob is in an accelerated frame of 144 00:12:25,290 --> 00:12:30,240 reference, and traveling at relativistic speeds, their Lorentz 145 00:12:30,240 --> 00:12:35,010 transformation calculations can be used to account for the relative 146 00:12:35,010 --> 00:12:41,610 time dilation between Alice and Bob asuw, Bob travels at 80% the 147 00:12:41,610 --> 00:12:46,320 speed of light. If we calculate relative time between Alice and 148 00:12:46,320 --> 00:12:50,790 Bob, at the midpoint of Bob's journey, Alice will have 149 00:12:50,790 --> 00:12:55,590 experienced 10 units of time, while Bob will have experienced 150 00:12:55,620 --> 00:12:57,810 only six units of time. 151 00:12:58,679 --> 00:13:03,089 This device is a light clock, two mirrors that face each other with 152 00:13:03,089 --> 00:13:06,869 a particle of light or photons bouncing between them. Such a 153 00:13:06,869 --> 00:13:11,759 clock shows directly how time has changed by speed, the motion of it 154 00:13:12,090 --> 00:13:14,100 will affect the rate of ticking. 155 00:13:16,620 --> 00:13:21,210 You'll notice that the clock is ticking more slowly, as I move it. 156 00:13:22,110 --> 00:13:23,010 Why is that? 157 00:13:24,509 --> 00:13:29,069 Well, the photon is making a zigzag path to reach one mirror 158 00:13:29,099 --> 00:13:30,029 and then the other. 159 00:13:31,769 --> 00:13:36,569 That's a longer path that the photon has to take. And that means 160 00:13:36,569 --> 00:13:39,719 that it takes more time to make that path. 161 00:13:40,649 --> 00:13:43,559 When clocks fly, they run more slowly in relativity. 162 00:13:44,580 --> 00:13:47,730 It says that the faster you travel through space, the slower you move 163 00:13:47,730 --> 00:13:51,660 through time, this concept of time dilation provides the basis for 164 00:13:51,660 --> 00:13:52,680 our global positioning 165 00:13:52,680 --> 00:13:57,870 system. By the time Bob completes his trip, Alice will have 166 00:13:57,870 --> 00:14:03,720 experienced 20 units of time, and Bob will have experienced 12 units 167 00:14:03,720 --> 00:14:09,390 of time. The paradox arises from Alice and Bob measuring different 168 00:14:09,390 --> 00:14:14,280 rates of the passage of time when comparing clocks. The clock Alice 169 00:14:14,280 --> 00:14:19,800 had with her and the clock Bob took with him, their timelines no 170 00:14:19,800 --> 00:14:25,950 longer match up linearly. Thus, between paradox. The message of 171 00:14:25,950 --> 00:14:30,930 the story is things that travel extraordinarily fast through 172 00:14:30,930 --> 00:14:39,090 space, travel a tad bit slower through time. However, there is an 173 00:14:39,090 --> 00:14:44,880 unaccounted for aspect to this paradox, given that Alice and Bob 174 00:14:44,910 --> 00:14:49,080 exists in mutually exclusive relative frames of reference, 175 00:14:49,380 --> 00:14:54,210 undergoing different rates of the passage of time. Since Alice and 176 00:14:54,210 --> 00:14:58,290 Bob measured different rates of the passage of time, the rate was 177 00:14:58,290 --> 00:15:02,910 slightly faster, relative to Alice, and slightly slower 178 00:15:03,000 --> 00:15:09,510 relative to Bob. Unbeknownst to Alice and Bob, Alice exists 179 00:15:09,510 --> 00:15:14,340 slightly into the future relative to Bob, and Bob exists slightly 180 00:15:14,340 --> 00:15:21,900 into the past relative to Alice. while in transit, Bob's rate of 181 00:15:21,900 --> 00:15:27,210 the passage of time decreases relative to Alice, though Bob 182 00:15:27,240 --> 00:15:32,040 eventually decelerates returning to his original temporal frame of 183 00:15:32,040 --> 00:15:37,230 reference. Contemporary with Alice, Alice and Bob still exists 184 00:15:37,260 --> 00:15:41,850 along separate timelines running parallel, but staggered in 185 00:15:41,850 --> 00:15:47,700 relation to one another. Allison Bob interact through supernumerary 186 00:15:47,700 --> 00:15:53,730 propagations of Alice relative to Bob, and Bob relative to Alice, 187 00:15:54,060 --> 00:16:00,090 for all Bob's and all Alice's such that each Alice and each Bob 188 00:16:00,300 --> 00:16:06,390 exists separately in mutually exclusive timelines relative to 189 00:16:06,390 --> 00:16:11,880 one another. This shift in timelines between Alice and Bob is 190 00:16:11,910 --> 00:16:16,680 unaccounted for by the Lorenz transformation, using the Lorenz 191 00:16:16,680 --> 00:16:21,540 transformation for his calculated arrival time. When Bob returns he 192 00:16:21,540 --> 00:16:23,010 apologizes saying, 193 00:16:23,490 --> 00:16:24,300 Sorry, I'm 194 00:16:24,300 --> 00:16:30,510 late. However, using the Lorenz transformation in her calculation 195 00:16:30,510 --> 00:16:35,070 for Bob's arrival time, Alice looks at Bob with astonishment and 196 00:16:35,070 --> 00:16:41,520 says, Oh, you've arrived early. Yet if we applied the basic 197 00:16:41,550 --> 00:16:46,440 existence equations to the Rennes transformations, this slight 198 00:16:46,440 --> 00:16:51,990 variation in relative time can be accounted for. Hence, the adjusted 199 00:16:51,990 --> 00:16:57,600 twin paradox. Since Lorenz transformations use only one time 200 00:16:57,600 --> 00:17:02,280 dimension, if time is multi dimensional, anomalies like the 201 00:17:02,280 --> 00:17:05,940 ones mentioned above should arise experimentally. 202 00:17:06,809 --> 00:17:11,279 Moreover, a similar paradox has been pointed out, but with the 203 00:17:11,279 --> 00:17:14,129 emphasis on space contraction instead, 204 00:17:15,000 --> 00:17:18,510 bell spaceship inequality, two spaceships connected by a string, 205 00:17:18,540 --> 00:17:22,980 they both accelerate. What happens to the string? Does that string 206 00:17:22,980 --> 00:17:26,400 break? Or does it not? So there's three things spring will droop 207 00:17:26,460 --> 00:17:29,940 the string will break or will just remain the same, these spaceships 208 00:17:29,940 --> 00:17:32,220 are going in a straight line, are they going to break their strings 209 00:17:32,220 --> 00:17:36,750 or not? The answer is controversial. And it actually 210 00:17:37,050 --> 00:17:40,470 gets sometimes, paradoxes especially relativity don't have 211 00:17:40,470 --> 00:17:44,850 simple clean solutions. This one depends on one simultaneity in 212 00:17:44,850 --> 00:17:47,700 which spaceship actually begins accelerating first and what the 213 00:17:47,700 --> 00:17:51,420 exact magnitude of the acceleration of each spaceship is, 214 00:17:51,570 --> 00:17:54,720 you can get them to accelerate such that the springs always 215 00:17:54,720 --> 00:17:59,490 remain taut and never droop and never break. However, due to some 216 00:17:59,490 --> 00:18:02,700 ways of making this up, and this has been debated in literature, 217 00:18:02,940 --> 00:18:06,240 they will they will break if you accept or expand ships in some 218 00:18:06,240 --> 00:18:09,150 way, and they'll even Drupal seven or eight spaceships and other 219 00:18:09,150 --> 00:18:09,660 ways. 220 00:18:11,220 --> 00:18:17,070 In 2004, I began looking for signs of particles, quote, arriving 221 00:18:17,100 --> 00:18:22,830 early, or something mathematically equivalent. I was not exactly sure 222 00:18:22,830 --> 00:18:26,430 where and how the existence equations would completely apply 223 00:18:26,430 --> 00:18:30,480 to relativity and quantum mechanics. I began playing with 224 00:18:30,480 --> 00:18:34,650 the idea that all of physics could be reduced to just interactions 225 00:18:34,650 --> 00:18:39,450 between spatial and temporal coordinates. A wondered if inertia 226 00:18:39,480 --> 00:18:43,470 and momentum might be composed strictly of temporal coordinates. 227 00:18:43,890 --> 00:18:47,760 This would require extra time dimensions, could inertia or 228 00:18:47,760 --> 00:18:52,740 momentum be used as indicators of multi dimensional time? What about 229 00:18:52,740 --> 00:18:57,540 charge spin and other properties of matter? answers to some of 230 00:18:57,540 --> 00:19:02,400 these questions appear to reside in neutrino research specifically 231 00:19:02,490 --> 00:19:07,950 neutrino flavor oscillation, do neutrinos have mass or not? The 232 00:19:07,950 --> 00:19:12,270 basic existence equations should correspond with neutrino mass and 233 00:19:12,270 --> 00:19:13,620 or flavor oscillation. 234 00:19:14,190 --> 00:19:14,850 But how 235 00:19:17,160 --> 00:19:20,130 they knew there were three different types of neutrinos. But 236 00:19:20,130 --> 00:19:23,160 the none of the experiments could detect all three. 237 00:19:25,320 --> 00:19:28,350 There are three flavors of neutrinos that neutrinos might 238 00:19:28,350 --> 00:19:31,890 change from one type of flavor into another type of flight for 239 00:19:31,920 --> 00:19:34,050 this is called neutrino oscillations. 240 00:19:35,040 --> 00:19:39,060 In this theory, you torinos would be continuously changing from Type 241 00:19:39,090 --> 00:19:41,280 to type as they travel through space. 242 00:19:41,700 --> 00:19:44,730 And in fact, it can change back and forth and back and forth, back 243 00:19:44,730 --> 00:19:49,620 and forth, and that's why it's called a neutrino oscillation. The 244 00:19:49,620 --> 00:19:52,380 problem with that is that in the Standard Model neutrinos are 245 00:19:52,380 --> 00:19:55,920 massless and massless. neutrinos can't do this. They can't change 246 00:19:55,920 --> 00:19:59,640 from one type of neutrino to the other. It was all to do with time. 247 00:20:02,190 --> 00:20:06,900 For anything to change, time must pass. And according to Einstein, 248 00:20:07,170 --> 00:20:10,920 if you're traveling at the speed of light, there is no time. 249 00:20:12,480 --> 00:20:13,260 And therefore, 250 00:20:15,150 --> 00:20:16,320 no change. 251 00:20:16,620 --> 00:20:18,090 neutrino oscillation 252 00:20:18,420 --> 00:20:23,910 is a time dependent phenomenon. It requires a neutrino clock that 253 00:20:23,910 --> 00:20:25,320 requires that the neutrino 254 00:20:25,350 --> 00:20:28,710 travels slower than light that requires that the neutrino 255 00:20:28,739 --> 00:20:32,129 have a mass. If you don't believe neutrinos have mass, then they can 256 00:20:32,129 --> 00:20:32,789 oscillate. 257 00:20:34,260 --> 00:20:39,420 In the fall of 2011, physicists at CERN working on neutrino research 258 00:20:39,450 --> 00:20:42,150 made headline news that caught the world's attention. 259 00:20:42,720 --> 00:20:45,540 Although technical issues seem to have been the cause of the speedy 260 00:20:45,540 --> 00:20:48,840 neutrino results, both opera and its sister experiment Icarus are 261 00:20:48,840 --> 00:20:51,270 scheduled to rerun the neutrino experiment that they did this 262 00:20:51,270 --> 00:20:54,390 month. Though most experts expect the particles to obey the speed 263 00:20:54,390 --> 00:20:55,020 limit. This time, 264 00:20:55,200 --> 00:20:59,220 it is as if everyone was so concerned about negating the 265 00:20:59,220 --> 00:21:04,230 superluminal opera results that the subtle anomaly with Icarus, 266 00:21:04,410 --> 00:21:09,120 when I noticed the Icarus results were consistent with the Manos 267 00:21:09,120 --> 00:21:14,070 results of 2007, where the neutrino began to exhibit slightly 268 00:21:14,070 --> 00:21:19,170 superluminal speed. The real issue here is still glaring right at us. 269 00:21:19,590 --> 00:21:25,050 Why does the neutrino appear to travel slightly faster than light 270 00:21:25,050 --> 00:21:29,250 on average, though we know it doesn't, you see that the place 271 00:21:29,250 --> 00:21:33,960 where they overlap is pretty much in the margin of the statistical 272 00:21:33,960 --> 00:21:34,590 error 273 00:21:34,890 --> 00:21:37,560 number there are several different neutrinos electron neutrinos you 274 00:21:37,560 --> 00:21:42,480 on the tree knows very small. Within experimental error, they 275 00:21:42,480 --> 00:21:43,560 move with the speed of light. 276 00:21:44,490 --> 00:21:48,330 Even that is slightly superluminal. So really, and 277 00:21:48,330 --> 00:21:52,740 truly, the only justification for saying that the neutrino travels 278 00:21:52,740 --> 00:21:58,170 at the speed of light is this area here where we barely have any 279 00:21:58,170 --> 00:22:02,700 overlap at all. And it's within the statistical margin of error of 280 00:22:02,700 --> 00:22:06,900 two different types of testing. 281 00:22:07,170 --> 00:22:09,690 What I have here are 282 00:22:09,750 --> 00:22:14,250 three dimensions of time. In this period, the neutrino is slightly 283 00:22:14,250 --> 00:22:19,200 into the future relative to this, and this neutrino is slightly over 284 00:22:19,200 --> 00:22:21,810 the past. relative to this, 285 00:22:23,070 --> 00:22:25,770 we have to know exactly what time the collision happened, and 286 00:22:25,770 --> 00:22:28,650 exactly when we caught the corresponding neutrino. And 287 00:22:28,650 --> 00:22:30,720 because the scientists in Switzerland are hundreds of 288 00:22:30,720 --> 00:22:34,170 kilometers away, we have to use timing signals from GPS satellites 289 00:22:34,170 --> 00:22:36,840 in order to synchronize our clocks. If we're off by even a 290 00:22:36,840 --> 00:22:39,900 microsecond, we'll get the speed wrong by a million kilometers per 291 00:22:39,900 --> 00:22:40,230 hour. 292 00:22:40,470 --> 00:22:43,950 So what happens is and what is not accounted for in general and 293 00:22:43,950 --> 00:22:49,020 special relativity is a what is meant as neutrino is going to 294 00:22:49,020 --> 00:22:54,810 descend in the dimension of the passage of time down to a slower 295 00:22:54,810 --> 00:22:58,710 rate and the passage of time will be the one that hits this 296 00:22:58,710 --> 00:23:04,560 detector. And so that neutrino goes down. And then this one up 297 00:23:04,560 --> 00:23:12,930 here, comes down and arrives here. This becomes the neutrino relative 298 00:23:12,930 --> 00:23:18,360 to CERN. So notice that the neutrino relative to cern is 299 00:23:18,360 --> 00:23:23,040 slightly into the future. So it coming from a faster passage of 300 00:23:23,040 --> 00:23:28,620 the rate of time arrives at CERN. Early 301 00:23:29,850 --> 00:23:33,990 what actually happens to neutrino was really curious. What happens 302 00:23:33,990 --> 00:23:38,310 with the neutrino, their left hand and neutrinos and of course, they 303 00:23:38,310 --> 00:23:42,450 go along with right handed anti neutrinos for the neutrinos left 304 00:23:42,450 --> 00:23:47,040 handed, and the anti neutrino is right handed. And one way of 305 00:23:47,040 --> 00:23:52,440 having a mass for the neutrino is to have a left handed neutrino 306 00:23:52,740 --> 00:23:57,870 make transitions to right handed antineutrinos mass is always for 307 00:23:57,870 --> 00:24:02,100 fermions. It's always left hand turns into right hand turns into 308 00:24:02,100 --> 00:24:05,130 the left hand turns at the right hand processes which involve that, 309 00:24:06,090 --> 00:24:10,830 for neutrinos. Curiously, the right handed particle which the 310 00:24:10,830 --> 00:24:15,900 neutrino can make a transition two is the anti particle of the left 311 00:24:15,900 --> 00:24:20,400 hand, left hand. particle which gets masked by mixing in this way 312 00:24:20,400 --> 00:24:23,700 with its anti particle is called a myeloma particle. 313 00:24:24,870 --> 00:24:28,050 Other predictions stemmed from applying the basic existence 314 00:24:28,050 --> 00:24:33,090 equations to physics, but now in quantum mechanics, in 2003, while 315 00:24:33,090 --> 00:24:36,780 attempting to apply the basic existence equations to relativity, 316 00:24:37,200 --> 00:24:41,010 a got lost in the Lorentz transformations space contraction, 317 00:24:41,010 --> 00:24:46,080 time dilation, time contractions, space dilation, and so on so 318 00:24:46,080 --> 00:24:49,350 forth. I thought about how they exist six equations might be 319 00:24:49,350 --> 00:24:53,490 applied to the twin paradox but in reverse, while trying to remember 320 00:24:53,490 --> 00:24:56,700 which way went with the contraction or dilation of space 321 00:24:56,700 --> 00:25:00,930 time coordinates. I imagine the application and fall And reverse 322 00:25:00,930 --> 00:25:05,400 time simultaneously, then all at once three distinct concepts 323 00:25:05,400 --> 00:25:10,620 converged into a single principle. symmetries between beta decay like 324 00:25:10,650 --> 00:25:15,480 and reversed anti beta decay like phenomena could oscillate in a 325 00:25:15,480 --> 00:25:19,560 time loop as a temporal superposition of a hydrogen atom 326 00:25:19,560 --> 00:25:23,640 like structure. These diagonal symmetries appeared to take into 327 00:25:23,640 --> 00:25:28,050 account charge parity violation. A forward and reverse time loop 328 00:25:28,050 --> 00:25:31,530 model resembles aspects of Heisenberg's Uncertainty 329 00:25:31,530 --> 00:25:34,800 Principle, incorporating a new principle into quantum 330 00:25:34,800 --> 00:25:39,330 entanglement. The inclusion principle, the inclusion principle 331 00:25:39,330 --> 00:25:42,780 and the Pauli exclusion principle work together to account for 332 00:25:42,780 --> 00:25:48,450 quantum entanglement, but in a new way, through identity crises. At a 333 00:25:48,450 --> 00:25:52,830 certain phase in a time loop, the distinction between forward moving 334 00:25:52,830 --> 00:25:56,400 particles and reverse moving anti particles becomes 335 00:25:56,400 --> 00:25:57,450 indistinguishable, 336 00:25:57,750 --> 00:25:58,260 or 337 00:25:58,830 --> 00:26:03,330 when two identical particles are in close enough proximity, that 338 00:26:03,330 --> 00:26:07,050 the distinction between the two particle states becomes impossible 339 00:26:07,050 --> 00:26:12,330 to distinguish. Interestingly, physicists Daniel Klempner applied 340 00:26:12,330 --> 00:26:16,620 the term identity crisis slightly different but in such a way that 341 00:26:16,620 --> 00:26:20,880 it exemplifies the inclusion principle as an additional aspect 342 00:26:20,880 --> 00:26:22,140 of quantum entanglement. 343 00:26:23,010 --> 00:26:29,760 In 1925, a young Indian physicist Satyendra Bose sent Einstein a 344 00:26:29,760 --> 00:26:34,260 paper he'd been unable to publish. Those had attempted to apply the 345 00:26:34,260 --> 00:26:39,240 mathematics of how light particles behave to hole atoms. Einstein 346 00:26:39,240 --> 00:26:42,750 realized the importance of this concept and did some further 347 00:26:42,750 --> 00:26:46,920 calculations. He predicted that on reaching extremely low 348 00:26:46,920 --> 00:26:51,120 temperatures just a hair above absolute zero, it might be 349 00:26:51,120 --> 00:26:54,630 possible to produce a new state of matter that followed quantum 350 00:26:54,630 --> 00:27:00,900 rules, it would not be a solid or liquid or gas, a Bose Einstein 351 00:27:01,110 --> 00:27:02,160 condensate. 352 00:27:03,930 --> 00:27:07,980 matter can exist in various states. Atoms at high temperature 353 00:27:07,980 --> 00:27:12,150 always form gases. If you cool the gas, it becomes a liquid. If you 354 00:27:12,150 --> 00:27:15,570 pool the liquid, it becomes a solid. But under certain 355 00:27:15,570 --> 00:27:19,200 circumstances, if you cool atoms far enough to extremely low 356 00:27:19,200 --> 00:27:22,710 temperatures, they undergo an identity crisis. When you go to 357 00:27:22,710 --> 00:27:26,010 low temperatures, the quantum mechanical properties of the atoms 358 00:27:26,010 --> 00:27:30,540 become important. Each one of these atoms starts to display wave 359 00:27:30,540 --> 00:27:34,470 like properties. So instead of points like that, you have a 360 00:27:34,470 --> 00:27:38,130 little wave packets like that. Now, as you go to very low 361 00:27:38,130 --> 00:27:43,290 temperatures, the size of these packets gets longer and longer. If 362 00:27:43,290 --> 00:27:47,100 you get them cold enough, they start overlapping. And when they 363 00:27:47,100 --> 00:27:52,530 overlap, the system behaves not like individual particles, but 364 00:27:52,560 --> 00:27:55,350 particles which have lost their identity, this little wave packet 365 00:27:55,350 --> 00:27:59,220 over here can tell whether it's this one, or that one, or that 366 00:27:59,220 --> 00:28:02,790 one, or that one, or that one over there, and it's there. They're all 367 00:28:02,850 --> 00:28:06,630 in one great big quantum state. They're all overlapping. But on 368 00:28:06,630 --> 00:28:10,800 the Bose condensate, I'm everywhere at once I've lost my 369 00:28:10,800 --> 00:28:16,350 identity, I don't know who I am anymore. I'm at rest, and all the 370 00:28:16,350 --> 00:28:19,020 other atoms around at rest, but they're not other atoms around 371 00:28:19,020 --> 00:28:21,180 we're all just one great big quantum system 372 00:28:21,570 --> 00:28:25,080 thought of as just one time dimension, that distinct time 373 00:28:25,080 --> 00:28:30,360 dimensions of period and present time appear noticed regularly in 374 00:28:30,360 --> 00:28:34,740 physics in the units for acceleration, or time squared. 375 00:28:35,520 --> 00:28:39,930 Furthermore, it can be argued that the concept of time dilation found 376 00:28:39,930 --> 00:28:44,160 in relativity implies that there are at least two time dimensions 377 00:28:44,460 --> 00:28:48,690 using a three dimensional time model. inertial mass and momentum 378 00:28:48,720 --> 00:28:53,760 can also be expressed in terms of temporal components. Acceleration 379 00:28:53,760 --> 00:28:57,180 can be treated as a displacement in the rate of the passage of 380 00:28:57,180 --> 00:29:02,160 time. There is an inversely proportional relationship between 381 00:29:02,160 --> 00:29:06,900 the passage of time and linear time relative to inertial mass and 382 00:29:06,900 --> 00:29:12,090 relativistic momentum. This is easier to understand when 383 00:29:12,090 --> 00:29:16,500 examining the expressions of thermodynamics and how they relate 384 00:29:16,500 --> 00:29:21,450 to temporal mechanics. The relativistic effect of an increase 385 00:29:21,450 --> 00:29:25,200 temperature on the internal motions of atoms within a 386 00:29:25,200 --> 00:29:29,610 substance is very subtle if not impossible to actually measure. 387 00:29:30,030 --> 00:29:33,930 However, an increase in the temperature is tantamount to a 388 00:29:33,930 --> 00:29:38,880 slight increase in effective mass. Technically speaking, inertial 389 00:29:38,880 --> 00:29:42,990 mass is Lorentz invariant and does not change while undergoing 390 00:29:42,990 --> 00:29:47,760 relativistic transformations. Nevertheless, there is a link 391 00:29:47,790 --> 00:29:51,630 between thermodynamics and the temporal mechanical expression for 392 00:29:51,630 --> 00:29:56,460 inertial mass and relativistic momentum. We will see that this 393 00:29:56,460 --> 00:29:59,670 particular subtlety is extremely significant. 394 00:30:01,829 --> 00:30:05,339 The temperature of the average molecule in the bucket is 50 395 00:30:05,339 --> 00:30:09,689 degrees. And the temperature of the average molecule in the cup is 396 00:30:09,689 --> 00:30:14,069 100 degrees. The bucket obviously contains many, many more water 397 00:30:14,069 --> 00:30:17,939 molecules than the cup does. The degree of hotness is higher in the 398 00:30:17,939 --> 00:30:22,289 cup, but the quantity of hotness is greater in the bucket. We know 399 00:30:22,289 --> 00:30:24,839 that it's the speed of the molecule that determines the 400 00:30:24,839 --> 00:30:28,739 degree of hotness of something. degree of hotness only depends on 401 00:30:28,739 --> 00:30:32,729 speed. It has nothing to do with how many molecules there are. 402 00:30:33,149 --> 00:30:36,089 Although the molecules in the bucket aren't going as fast as in 403 00:30:36,089 --> 00:30:39,929 the cup, there are more of them so they more than make up in mass 404 00:30:39,959 --> 00:30:44,789 what they lack in speed, and its mass combined with speed that 405 00:30:44,789 --> 00:30:48,869 determines quantity of hotness, the word for degree of hotness is 406 00:30:48,869 --> 00:30:53,669 temperature. The other word for quantity of hotness is heat. The 407 00:30:53,669 --> 00:30:56,969 big difference between temperature and heat is that temperature 408 00:30:56,969 --> 00:31:01,499 depends on speed only, whereas heat depends on both mass and 409 00:31:01,499 --> 00:31:05,909 speed. The water in the cup has got a high temperature, but very 410 00:31:05,909 --> 00:31:09,299 little heat, and the water in the bucket has got a much lower 411 00:31:09,299 --> 00:31:11,429 temperature, but a great deal of heat. 412 00:31:12,720 --> 00:31:17,190 In a closed loop thermal system such as an idealized heat engine, 413 00:31:17,490 --> 00:31:20,910 the inversely proportional relationship between temperature 414 00:31:21,090 --> 00:31:24,990 and the change in entropy can be used to set the heat engine into 415 00:31:24,990 --> 00:31:30,270 motion analogously. The inversely proportional relationship between 416 00:31:30,270 --> 00:31:33,840 the passage of time and the linear time can be used as a mechanism 417 00:31:33,870 --> 00:31:35,430 for the evolution of time. 418 00:31:35,940 --> 00:31:38,280 If you're like most high school science students, you were 419 00:31:38,280 --> 00:31:40,950 probably taught that absolute temperature is the measure of how 420 00:31:40,950 --> 00:31:44,220 much atoms vibrate. As you get colder and colder, they vibrate 421 00:31:44,220 --> 00:31:47,400 less and less until they come to a standstill at absolute zero. 422 00:31:47,430 --> 00:31:50,730 That's not quite the whole story, a more accurate description of 423 00:31:50,730 --> 00:31:54,150 temperature would represent a loop anything beyond absolute zero or 424 00:31:54,150 --> 00:31:58,110 infinite temperature would be in the negative. Assuming that a time 425 00:31:58,110 --> 00:32:02,160 loop and a temperature loop are isomorphic absolute temperature 426 00:32:02,190 --> 00:32:05,640 needs to be reexamined in terms of the passage of time, 427 00:32:06,900 --> 00:32:11,430 the specific heat of liquid helium rises astonishingly, as we 428 00:32:11,430 --> 00:32:18,540 approach 2.17 degrees, the lambda point as we approach 2.17 degrees, 429 00:32:18,780 --> 00:32:24,930 boiling becomes increasingly violent. Suddenly, it stops. This 430 00:32:24,930 --> 00:32:29,040 was the transition. Remember that this great change in heat 431 00:32:29,040 --> 00:32:34,410 conductivity occurs at a single a fixed transition temperature, no 432 00:32:34,410 --> 00:32:39,510 matter the point, we do indeed, deal with the change in phase only 433 00:32:39,510 --> 00:32:45,450 here, it is a change from one liquid to another liquid. As we've 434 00:32:45,450 --> 00:32:49,590 told you before, the specific heat of liquid helium is very large at 435 00:32:49,590 --> 00:32:54,390 the lambda point. This discontinuity in specific heat is 436 00:32:54,390 --> 00:32:57,780 another reflection of the fact that we are dealing with a change 437 00:32:57,810 --> 00:32:59,250 in the face of the substance. 438 00:33:04,080 --> 00:33:08,160 quick look at the concept of absolute zero temperature might 439 00:33:08,160 --> 00:33:12,630 cause one to consider the idea of a maximally high temperature. 440 00:33:16,650 --> 00:33:20,640 I mean, we know that there is an absolute zero. But is there an 441 00:33:20,640 --> 00:33:21,510 absolute 442 00:33:21,749 --> 00:33:23,039 hot, a point 443 00:33:23,040 --> 00:33:27,810 at which something is so hot, it can't get any hotter. any object 444 00:33:27,810 --> 00:33:32,580 over absolute zero emits some form of electromagnetic radiation, we 445 00:33:32,580 --> 00:33:36,120 can calculate the expected wavelength of radiation coming off 446 00:33:36,120 --> 00:33:39,390 of an object because of its temperature. And that wavelength 447 00:33:39,420 --> 00:33:43,890 gets smaller and smaller, the hotter and hotter the object gets. 448 00:33:44,010 --> 00:33:48,000 It goes from radio waves to microwaves up through infrared, 449 00:33:48,030 --> 00:33:52,050 visible all the way to x rays and gamma rays, which are created in 450 00:33:52,050 --> 00:33:55,740 the middle of our sun at temperatures as hot as the sun 451 00:33:55,890 --> 00:34:00,930 Mater exists in a fourth state, not solid, not liquid, not gas, 452 00:34:00,960 --> 00:34:04,890 but instead a state where the electrons wander away from the 453 00:34:04,890 --> 00:34:12,480 nuclei. Plasma at one Tara Kelvin, things get weird. At one Tara 454 00:34:12,480 --> 00:34:16,170 Kelvin, the electrons aren't the only thing that wander away the 455 00:34:16,170 --> 00:34:20,700 Hadrian's themselves. The protons and neutrons in the nucleus melt 456 00:34:20,970 --> 00:34:26,670 into corks and gluons a sort of soup. If an object were to reach a 457 00:34:26,670 --> 00:34:33,510 temperature of 1.41 times 10 to the 32 Kelvin, the radiation it 458 00:34:33,510 --> 00:34:38,850 would admit would have a wavelength of 1.616 times 10 to 459 00:34:38,850 --> 00:34:46,200 the negative 26 nanometers. It actually has a special name. It is 460 00:34:46,260 --> 00:34:50,130 the Planck distance, which according to quantum mechanics, is 461 00:34:50,130 --> 00:34:56,880 the shortest distance possible in our universe. Okay, well, what if 462 00:34:56,880 --> 00:35:01,680 we added even more energy Wouldn't the wavelength gets smaller it's 463 00:35:01,680 --> 00:35:06,060 supposed to, but yet it can't. This is where we've got a problem 464 00:35:06,390 --> 00:35:10,860 above 1.41 times 10 to the 32 Kelvin, the Planck temperature, 465 00:35:11,790 --> 00:35:17,610 our theories don't work, the object would become hotter than 466 00:35:18,420 --> 00:35:23,070 temperature, it would be so hot that what it is would not be 467 00:35:23,070 --> 00:35:25,470 considered a temperature. 468 00:35:26,279 --> 00:35:31,049 Assume that the thermal property of each substance has a maximum 469 00:35:31,049 --> 00:35:34,859 and minimum temperature range that we can place in a temperature 470 00:35:34,859 --> 00:35:40,619 loop. This idea is consistent with blackbody radiation such that only 471 00:35:40,619 --> 00:35:44,969 so much energy can be put into a loop before the cycle repeats 472 00:35:44,969 --> 00:35:49,919 phase. The absolute value for temperature represents the maximum 473 00:35:49,919 --> 00:35:54,119 range of values for temperature taking into account both positive 474 00:35:54,119 --> 00:35:58,019 and negative temperature, the left and right side of the loop can 475 00:35:58,019 --> 00:36:01,859 account for the maximum and minimum change in entropy 476 00:36:01,919 --> 00:36:06,479 proportional to change in heat content and inversely proportional 477 00:36:06,659 --> 00:36:11,219 to temperature. Substituting the passage of time for temperature, 478 00:36:11,609 --> 00:36:15,989 and substituting linear time for changes in entropy, the 479 00:36:15,989 --> 00:36:20,669 thermodynamic expressions for a car no heat engine can be used to 480 00:36:20,669 --> 00:36:24,239 describe a mechanism for the evolution of time in three 481 00:36:24,239 --> 00:36:28,589 dimensions. Ignoring the Kelvin temperature scale for a moment, 482 00:36:28,979 --> 00:36:32,669 assume negative temperatures correspond with temperatures below 483 00:36:32,669 --> 00:36:37,559 the transition point for supercooled substances, or above 484 00:36:37,589 --> 00:36:41,999 the transition point for superheated substances. transition 485 00:36:41,999 --> 00:36:45,929 points become places where the change in temperature or the 486 00:36:45,929 --> 00:36:51,359 change in entropy reverses. Conversely, at the transition 487 00:36:51,359 --> 00:36:55,229 points in the time loop, the direction of time flips or 488 00:36:55,229 --> 00:36:58,979 reverses, the properties of negative temperature are 489 00:36:58,979 --> 00:37:03,749 synonymous with the properties of motion in reverse time, just as 490 00:37:03,749 --> 00:37:07,649 the properties of positive temperatures are synonymous with 491 00:37:07,649 --> 00:37:11,969 the properties of motion in forward time. Consequently, we 492 00:37:11,969 --> 00:37:16,199 should observe a similar type of behavior at high temperatures. 493 00:37:17,730 --> 00:37:23,640 So how do you take quarks in a proton and a neutron and separate 494 00:37:23,640 --> 00:37:29,760 them? Actually, we could separate quarks from one another. If we 495 00:37:29,760 --> 00:37:34,260 were to supply enough heat, and enough density, actually, we'll 496 00:37:34,260 --> 00:37:37,560 check had something to do with that. Maybe if I smash a bunch of 497 00:37:37,560 --> 00:37:43,410 protons together, and I produce matter that has enough temperature 498 00:37:43,410 --> 00:37:49,590 and density maybe I can actually produce quarks that are separable 499 00:37:49,620 --> 00:37:52,980 or separated and we say the confined This is at Brookhaven 500 00:37:52,980 --> 00:37:57,060 National Lab on girl in New York, this is a not just an accelerator, 501 00:37:57,060 --> 00:38:01,200 it's actually two accelerators in one and the beams collide, you 502 00:38:01,200 --> 00:38:03,810 ever been one going one way of the beam and going another way, and I 503 00:38:03,810 --> 00:38:08,010 had four spots, and they actually cross and collide. Gold nuclei 504 00:38:08,010 --> 00:38:16,290 beams. And these beams were traveling at 99.999% of the speed 505 00:38:16,290 --> 00:38:19,530 of light. So you have two nuclei, traveling nearly the speed of 506 00:38:19,530 --> 00:38:23,790 light. they collide in as they penetrate one another, they nearly 507 00:38:23,790 --> 00:38:28,650 stopped and all that energy of motion, all that kinetic energy is 508 00:38:28,740 --> 00:38:34,680 almost instantly transformed into making 1000s of particles. The 509 00:38:34,680 --> 00:38:38,550 model assumes that this stuff that we made, the stuff that last for 510 00:38:38,550 --> 00:38:44,790 about 10 to the minus 22 seconds. Is is like a liquid, a liquid of 511 00:38:44,790 --> 00:38:49,560 quarks and gluons. This is something which is amazingly hard 512 00:38:49,560 --> 00:38:55,260 the trillion degrees and it flows like there's nothing to slow it 513 00:38:55,260 --> 00:39:02,100 down. This liquid is really really viscous, almost viscous. So it's a 514 00:39:02,580 --> 00:39:03,690 it's a cool liquid. 515 00:39:04,800 --> 00:39:05,910 It's a cool liquid. 516 00:39:07,079 --> 00:39:11,279 When the temperature loop is maximally hot, the entropy is 517 00:39:11,279 --> 00:39:16,349 zero. This restricts maximum absolute temperature to finite 518 00:39:16,349 --> 00:39:20,009 temperatures and becomes a parameter or a limit of a 519 00:39:20,009 --> 00:39:25,079 temperature loop. When temperature is zero, the change in entropy is 520 00:39:25,079 --> 00:39:30,779 at the maximum range finite or infinite. In this example, he 521 00:39:30,779 --> 00:39:35,909 conduction can operate in one of two ways as a reversible closed 522 00:39:35,909 --> 00:39:41,999 loop system or as an indefinitely open irreversible system. In 523 00:39:41,999 --> 00:39:47,279 either case, this idealized mechanism is in continuous action. 524 00:39:49,020 --> 00:39:53,340 In car knows ideal engine, the ratio of the heat taken in to the 525 00:39:53,340 --> 00:39:57,660 heat wasted was the same as the ratio of the two absolute 526 00:39:57,660 --> 00:40:02,310 temperatures needed to drive the engine In other words, and this 527 00:40:02,310 --> 00:40:06,540 was the idea that stemmed from carnivals imagination. Something 528 00:40:06,540 --> 00:40:12,150 that goes in is the same when it comes out. If it's not the heat, 529 00:40:12,720 --> 00:40:17,460 and if it's not the temperature, what is it? It's the heat divided 530 00:40:17,460 --> 00:40:22,140 by the temperature at which it flows. And according to classes, 531 00:40:22,740 --> 00:40:28,020 that's entropy. In a car no engine, some entropy flows in at 532 00:40:28,020 --> 00:40:33,870 high temperature does its job and the same amount of entropy flows 533 00:40:33,870 --> 00:40:39,030 out at low temperature. So when ideal engine conserves energy 534 00:40:40,650 --> 00:40:45,660 This brings us to a question. Are these time loops perpetual or can 535 00:40:45,660 --> 00:40:50,400 they have a beginning and an end? in thermodynamics, a heat engine 536 00:40:50,400 --> 00:40:54,480 acts like an idealized reversible engine, until it runs out of 537 00:40:54,480 --> 00:40:59,460 having a source of heat, or the engine breaks down, etc. In a 538 00:40:59,460 --> 00:41:04,890 similar way, time loops continue to cycle until they run out of or 539 00:41:04,890 --> 00:41:10,380 break down from what exactly a better way to understand this 540 00:41:10,380 --> 00:41:14,040 temperature loop model is to see through the action of ordinary 541 00:41:14,070 --> 00:41:18,960 everyday motion, such as with the air conditioner, or refrigerator. 542 00:41:22,980 --> 00:41:27,060 Inside fan circulate air across the tubular network containing 543 00:41:27,060 --> 00:41:31,050 coolant, the inside air temperature decreases as the court 544 00:41:31,080 --> 00:41:32,880 absorbs heat through the tubing. 545 00:41:36,630 --> 00:41:39,810 Let's diagram the compression refrigeration loop. We'll start 546 00:41:39,810 --> 00:41:45,060 with a closed loop tube. And we'll fill it with coolant that in this 547 00:41:45,060 --> 00:41:48,120 case has a boiling point somewhere near room temperature. Let's 548 00:41:48,120 --> 00:41:52,500 insert a pump. At the other side of our diagram opposite the pump 549 00:41:52,710 --> 00:41:57,060 will insert a valve letting just a bit of fluid through but keeping 550 00:41:57,060 --> 00:42:00,300 most of it back. Building up pressure on the upstream side of 551 00:42:00,300 --> 00:42:03,750 the valve will see that we have most of the fluid on one side of 552 00:42:03,750 --> 00:42:07,740 the loop, high pressure side downstream of the pump an upstream 553 00:42:07,740 --> 00:42:11,640 of the valve. The other low pressure side has less fluid 554 00:42:11,640 --> 00:42:15,150 because the pump is busy trying to move the fluid around faster than 555 00:42:15,150 --> 00:42:17,850 the valve is letting it through. On the high pressure side we are 556 00:42:17,850 --> 00:42:21,720 pushing squeezing the gas molecules forcing them into a 557 00:42:21,720 --> 00:42:24,870 liquid state. And on the low pressure side, we are ripping the 558 00:42:24,870 --> 00:42:28,380 molecules out of their liquid state and into a gaseous state. 559 00:42:29,070 --> 00:42:31,650 We're condensing on the high pressure side and evaporating or 560 00:42:31,650 --> 00:42:36,990 boiling on the low pressure side. So by boiling on one side, and 561 00:42:36,990 --> 00:42:40,650 condensing on the other, we're creating a cold side and a warm 562 00:42:40,650 --> 00:42:44,490 side of our pipe. Let's position the cold side on the inside of our 563 00:42:44,490 --> 00:42:48,780 building and the warm side on the outside of our building. We might 564 00:42:48,780 --> 00:42:52,530 then draw in room air at room temperature, run it over a cold 565 00:42:52,530 --> 00:42:57,210 pipe and supplied back to the room. On the outside hot loop. We 566 00:42:57,210 --> 00:43:01,350 will utilize a fan to draw outside air across a hot pipe and 567 00:43:01,350 --> 00:43:03,900 deposited back to the outside air. 568 00:43:06,810 --> 00:43:11,640 In a reversible thermal process, the initial and final changes in 569 00:43:11,640 --> 00:43:17,520 entropy equals zero. The initial change in entropy corresponds with 570 00:43:17,520 --> 00:43:21,450 the coolant absorbing heat. The final change in entropy 571 00:43:21,810 --> 00:43:25,800 corresponds with the outside air absorbing heat from the heated 572 00:43:25,800 --> 00:43:31,530 coolant. In this example, the process is reversible indefinitely 573 00:43:31,680 --> 00:43:36,630 insofar as refrigerator continues to work with the same efficiency 574 00:43:36,660 --> 00:43:41,970 over an indefinite period of time. Consequently, a refrigerator does 575 00:43:41,970 --> 00:43:46,380 not violate the second law of thermodynamics. Heat can transfer 576 00:43:46,380 --> 00:43:50,190 from a hot reservoir to a cold reservoir, but not the other way 577 00:43:50,190 --> 00:43:55,110 around. If a heat engine loses heat due to work or inefficiency, 578 00:43:55,620 --> 00:43:59,580 what is the mathematical equivalent for a time loop. If 579 00:43:59,580 --> 00:44:05,190 heat flows in only one direction, through a heat engine, what flows 580 00:44:05,340 --> 00:44:12,870 in only one direction through a timely, linear time. The arrow of 581 00:44:12,870 --> 00:44:16,920 time is the direction that linear time passes through a temporal 582 00:44:16,920 --> 00:44:21,660 loop at a true and steady rate, turning over like a temporal 583 00:44:21,660 --> 00:44:26,460 motor, the mechanism for the evolution of time, though a time 584 00:44:26,460 --> 00:44:30,360 loop can be sustained indefinitely. Eventually, a time 585 00:44:30,360 --> 00:44:35,730 loop can run out of time and stop cycling. We can define relative 586 00:44:35,730 --> 00:44:40,410 absolute temperatures using absolute value bars. Instead of a 587 00:44:40,410 --> 00:44:43,890 temperature loop, we'll use a temperature arch where the 588 00:44:43,890 --> 00:44:47,700 uppermost part of the arch corresponds with absolute maximum 589 00:44:47,700 --> 00:44:51,090 temperature, accounting for both positive and negative 590 00:44:51,090 --> 00:44:55,080 temperatures. We could also make an arch where the outermost part 591 00:44:55,080 --> 00:44:59,040 of the arch corresponds with absolute maximum change in entropy 592 00:44:59,280 --> 00:45:03,630 or change. in linear time, accounting for both forward and 593 00:45:03,630 --> 00:45:09,120 reverse time simultaneously with one direction of time, referring 594 00:45:09,120 --> 00:45:13,020 to the absolute temperature arch. What does the single maximum 595 00:45:13,020 --> 00:45:17,640 temperature state represent? What transitions from positive to 596 00:45:17,640 --> 00:45:21,510 negative or from negative to positive along the change in 597 00:45:21,510 --> 00:45:26,190 entropy or linear timeline coordinate. What this arch 598 00:45:26,190 --> 00:45:29,940 suggests is that plasma can be heated enough to display 599 00:45:29,940 --> 00:45:35,400 properties of a perfect liquid. Or Similarly, a super fluid may be 600 00:45:35,400 --> 00:45:40,380 cooled enough to phase transition into a gas. Referring to the 601 00:45:40,380 --> 00:45:45,000 sideways absolute entropy arch. What does this single maximum 602 00:45:45,000 --> 00:45:49,770 change in entropy or change in linear time represent? What do 603 00:45:49,770 --> 00:45:54,060 both states on opposite sides of the temperature or passage of time 604 00:45:54,060 --> 00:45:59,070 coordinate near zero represent the basis for absolute change in 605 00:45:59,070 --> 00:46:03,600 entropy, our maximum positive and maximum negative temperatures, the 606 00:46:03,600 --> 00:46:07,770 positive minimum temperature state could represent one side of a 607 00:46:07,770 --> 00:46:11,610 phase transition and the negative minimum temperature state could 608 00:46:11,610 --> 00:46:15,840 represent the other side of a phase transition. If the positive 609 00:46:15,840 --> 00:46:20,970 side of absolute zero is a state of condensed matter, what is on 610 00:46:20,970 --> 00:46:25,170 the negative side of absolute zero, on condensed matter, 611 00:46:26,699 --> 00:46:28,979 I'd like to welcome you to the slac 612 00:46:29,159 --> 00:46:33,359 National Accelerator Laboratory. The speaker is Aaron roodman, who 613 00:46:33,359 --> 00:46:36,959 is a faculty member, a professor at the laboratory. He's the 614 00:46:36,959 --> 00:46:41,399 discoverer of one of the very elusive and tricky decay channels 615 00:46:41,399 --> 00:46:44,939 of the beam as on today, he will tell you about matter 616 00:46:44,940 --> 00:46:50,040 and anti matter, and what it is and where did it go. This is a 617 00:46:50,040 --> 00:46:54,510 picture from a cloud chamber taken by Carl Anderson and Caltech. In 618 00:46:54,510 --> 00:46:58,080 it he saw the track of what appeared to be an electron, 619 00:46:58,110 --> 00:47:02,700 however, an electron would have bent to the right. And what he 620 00:47:02,700 --> 00:47:06,270 observed was a particle that bent to the left, this mysterious 621 00:47:06,270 --> 00:47:11,400 object was the first sign of anti matter. more remarkable, perhaps, 622 00:47:11,520 --> 00:47:15,210 is that the existence of this particle was predicted to solve 623 00:47:15,210 --> 00:47:18,900 certain inconsistency in quantum mechanics by Paul Dirac only three 624 00:47:18,900 --> 00:47:23,310 years earlier, relativity and quantum mechanics come together in 625 00:47:23,310 --> 00:47:26,970 a unified form and this marvelous equation of direct the direct 626 00:47:26,970 --> 00:47:30,540 equation, and that marriage or relativity in quantum mechanics, 627 00:47:30,840 --> 00:47:34,830 gives us two children spin an anti matter which you're about to see 628 00:47:34,860 --> 00:47:38,340 just now, here, the beta matrix is one one, negative one, negative 629 00:47:38,340 --> 00:47:43,800 one and the E is multiplying the identity matrix and the Eigen 630 00:47:43,800 --> 00:47:49,230 vectors are simply going to be the column vectors with one in one 631 00:47:49,230 --> 00:47:51,510 slot and zeros and everything else. And when you put in, you 632 00:47:51,510 --> 00:47:55,320 know, the constants here, the Eigen value for the energy for 633 00:47:55,320 --> 00:47:58,620 this one's actually square MC squared minus MC squared minus MC 634 00:47:58,620 --> 00:48:01,590 squared. So you can see that the particle solutions split into two 635 00:48:01,590 --> 00:48:05,850 kinds of particles, one particle positive energy, one particle with 636 00:48:05,850 --> 00:48:08,340 negative energy, and that we're just going to point out here we 637 00:48:08,340 --> 00:48:12,900 have two kinds of solutions in terms of the energy eigenvalues 638 00:48:12,900 --> 00:48:17,430 here is one pair of solutions. And here's the other pair. So the 639 00:48:17,430 --> 00:48:21,540 first pairs are electron with two states spin up spin down, and the 640 00:48:21,540 --> 00:48:25,410 second pair will represent your positron with two states spin up 641 00:48:25,410 --> 00:48:25,980 spin down, 642 00:48:26,369 --> 00:48:30,299 the particles can have spin along either axis that gives you two 643 00:48:30,299 --> 00:48:34,829 components up spin and down spin, and the particles can have 644 00:48:34,829 --> 00:48:39,629 positive or negative energy. Now we've learned over and over again, 645 00:48:39,869 --> 00:48:43,349 that the negative energy particles should be replaced by anti 646 00:48:43,349 --> 00:48:49,319 particles of positive energy. But in the mathematics, the Dirac 647 00:48:49,319 --> 00:48:55,709 field has four components up spin positive energy down spin positive 648 00:48:55,709 --> 00:49:00,749 energy, up spin negative energy down spin negative energy, or you 649 00:49:00,749 --> 00:49:04,829 can think of it as up spinning down spin of particle and 650 00:49:04,829 --> 00:49:05,879 antiparticle. 651 00:49:06,090 --> 00:49:10,500 The anti proton was discovered at Berkeley, by Chamberlain to gray, 652 00:49:10,740 --> 00:49:14,460 all elementary particles, the electron, the proton and the 653 00:49:14,460 --> 00:49:18,630 neutron, they all have an anti matter version, these anti matter 654 00:49:18,630 --> 00:49:23,400 particles are exactly the same as their matter versions, except they 655 00:49:23,400 --> 00:49:27,600 have the opposite electric charge. If we look at the world around us, 656 00:49:27,750 --> 00:49:32,430 we see only map only protons, neutrons, and electrons, not their 657 00:49:32,430 --> 00:49:37,320 anti matter versions, except for a tiny residual of anti matter in 658 00:49:37,590 --> 00:49:42,120 certain radioactive processes in cosmic rays, and we can make anti 659 00:49:42,120 --> 00:49:45,930 matter in our accelerators. But as far as we can see, we do not see 660 00:49:45,930 --> 00:49:49,320 any signs of anti matter in the universe. And so we're left with 661 00:49:49,320 --> 00:49:52,770 the question. Where did the anti Mater go? Why is the whole 662 00:49:52,770 --> 00:49:56,940 universe made of just matter? So just after the Big Bang, the 663 00:49:56,940 --> 00:50:01,830 universe had to have equal parts of matter. Anything that matter 664 00:50:01,830 --> 00:50:04,590 and anti matter annihilate each other, and that's the blue and the 665 00:50:04,590 --> 00:50:10,170 red dots disappearing. Until eventually, you're left with just 666 00:50:10,170 --> 00:50:15,780 a tiny amount of matter. And that tiny amount of matter is 667 00:50:15,780 --> 00:50:20,760 everything we see in the world, a tiny excess of matter of the size 668 00:50:20,760 --> 00:50:26,640 one part and 10 billion was created. How was that tiny excess 669 00:50:26,640 --> 00:50:30,570 creating some interaction between particles must have been a little 670 00:50:30,570 --> 00:50:32,400 bit different between matter and anti matter. 671 00:50:33,480 --> 00:50:38,070 Ignoring issues with spin and parity violation for a moment, let 672 00:50:38,070 --> 00:50:42,090 the reverse time anti particles be indistinguishable from forward 673 00:50:42,090 --> 00:50:46,050 time particles, with the exception, that the forward time 674 00:50:46,050 --> 00:50:50,910 particles exists slightly ahead in linear time, relative to the 675 00:50:50,910 --> 00:50:56,280 reverse time anti particles, since they are slightly out of phase. If 676 00:50:56,280 --> 00:51:00,810 they were to approach being in the same quantum state simultaneously, 677 00:51:01,200 --> 00:51:04,590 an inherent issue with simultaneity would prevent 678 00:51:04,590 --> 00:51:09,090 collision. However, there is a probability for this near 679 00:51:09,090 --> 00:51:13,650 collision to loop in on itself forming a sequential identity 680 00:51:13,650 --> 00:51:17,880 crisis between forward time particles and reverse time anti 681 00:51:17,880 --> 00:51:22,650 particles. When a forward time particle is at the moment of near 682 00:51:22,650 --> 00:51:27,330 collision, the reverse time anti particle is not quite there yet. 683 00:51:27,720 --> 00:51:32,220 After the forward time particle has moved on the reverse time anti 684 00:51:32,220 --> 00:51:37,050 particle van is at the moment of near collision from the reverse 685 00:51:37,080 --> 00:51:41,400 anti particle frame of reference. If we move forward, everything is 686 00:51:41,400 --> 00:51:45,600 the same as with the forward moving particle with the exception 687 00:51:45,630 --> 00:51:50,850 of a minus sign. Notice that each is the cause of the other forward 688 00:51:50,880 --> 00:51:57,600 or reverse. This is a time loop. Consequently, to complete one 689 00:51:57,600 --> 00:52:03,300 cycle around a time loop, one must go both forward and reverse. But 690 00:52:03,300 --> 00:52:10,080 how the basic exist equations allow us to parameterize quantum 691 00:52:10,080 --> 00:52:16,650 mechanics with three dimensional time if A equals B, then a over b 692 00:52:16,650 --> 00:52:22,290 equals one and the identity constant is one meaning there is 693 00:52:22,290 --> 00:52:27,990 only one particle, physical state field, etc. Depending on the 694 00:52:27,990 --> 00:52:33,570 application, if a is greater than b, then a over b is greater than 695 00:52:33,570 --> 00:52:39,690 one. And there are at least two particles, states fields etc. When 696 00:52:39,720 --> 00:52:45,300 a over b is one, this corresponds with the inclusion principle, when 697 00:52:45,330 --> 00:52:49,560 a over b is greater than one, this corresponds with the exclusion 698 00:52:49,560 --> 00:52:54,630 principle. In quantum mechanics, it is impossible to know both the 699 00:52:54,630 --> 00:52:59,880 particles momentum and position simultaneously within an accuracy 700 00:52:59,880 --> 00:53:04,890 greater than h bar. This is known as Heisenberg's Uncertainty 701 00:53:04,890 --> 00:53:05,520 Principle, 702 00:53:06,719 --> 00:53:11,339 you cannot measure the position of a particle and its momentum at the 703 00:53:11,339 --> 00:53:16,949 same time. This principle is often expressed as the uncertainty in 704 00:53:16,949 --> 00:53:22,169 position multiplied by the uncertainty in momentum is greater 705 00:53:22,169 --> 00:53:29,579 than or equal to h bar over two. A postulate of quantum mechanics 706 00:53:29,789 --> 00:53:33,989 which is one we will come to shortly says that the probability 707 00:53:33,989 --> 00:53:38,459 of finding the electron at any given point in space is equal to 708 00:53:38,459 --> 00:53:41,399 the square of the wave function at that point. 709 00:53:42,030 --> 00:53:45,990 Using three dimensional time, we can apply both the inclusion 710 00:53:45,990 --> 00:53:50,400 principle and the exclusion principle simultaneously and 711 00:53:50,400 --> 00:53:54,060 account for the uncertainty principle allowing for the basic 712 00:53:54,060 --> 00:53:59,790 exist equations to apply generally to quantum mechanics equivalences 713 00:53:59,820 --> 00:54:03,510 between temporal mechanics and quantum mechanics can be used to 714 00:54:03,510 --> 00:54:07,680 incorporate a temporal loop mechanism into the mathematics of 715 00:54:07,680 --> 00:54:12,330 atomic structures and the standard model. Since a temperature loop is 716 00:54:12,330 --> 00:54:16,110 isomorphic, with a time loop, we can introduce the concept of a 717 00:54:16,110 --> 00:54:21,000 plasma and a phone on into the temperature slash time loop and 718 00:54:21,000 --> 00:54:25,200 view them as cross conjugate pairs, or both the plasma and 719 00:54:25,200 --> 00:54:29,040 phone on separately act like self conjugate pairs. 720 00:54:29,520 --> 00:54:34,080 Phone arms have no mass which means that a phone on with zero 721 00:54:34,080 --> 00:54:41,490 momentum has no energy. Now, supposing your crystal lattice was 722 00:54:41,490 --> 00:54:47,070 composed of particles, which themselves have both plus some 723 00:54:47,070 --> 00:54:50,940 plus charges and some minus charges. And supposing you did the 724 00:54:50,940 --> 00:54:58,530 following, you shifted all of the electrons to the left uniformly 725 00:54:59,370 --> 00:55:03,420 and all the photons to the right uniformly just a little bit, just 726 00:55:03,420 --> 00:55:08,430 a little separation between the electron cloud and the nuclei the 727 00:55:08,490 --> 00:55:12,390 plus particles this way the minus particles this way, what will 728 00:55:12,390 --> 00:55:18,900 happen next will start to vibrate. So moving everything 729 00:55:18,900 --> 00:55:23,730 simultaneously that's zero momentum phone on moving the plus 730 00:55:23,730 --> 00:55:26,940 charges relative to the minus charges, what does that call 731 00:55:26,940 --> 00:55:33,930 anybody know a plasma, a plasma, plasma is have mass phonons do 732 00:55:33,930 --> 00:55:34,230 not. 733 00:55:34,980 --> 00:55:37,470 Plasma in most cases is a collection 734 00:55:37,470 --> 00:55:40,500 of electrons oscillating within a material, 735 00:55:41,219 --> 00:55:43,019 you can have these oscillations 736 00:55:43,320 --> 00:55:47,700 in three dimensions. For simplicity, plasmons represent the 737 00:55:47,700 --> 00:55:51,870 high temperature phase of the cycle, and phonons represent the 738 00:55:51,870 --> 00:55:56,010 low temperature phase of the cycle. The plasma and phone on 739 00:55:56,010 --> 00:55:59,610 states represent moments of identity crises within the 740 00:55:59,610 --> 00:56:04,410 temperature slash time loop, the plasma ID crisis occurs relative 741 00:56:04,410 --> 00:56:09,000 to the t prime coordinate, and the phone on identity crisis occurs 742 00:56:09,000 --> 00:56:12,630 relative to the t squared coordinate, we can view the 743 00:56:12,630 --> 00:56:17,100 absolute temperature arch and the absolute change in entropy arch as 744 00:56:17,100 --> 00:56:19,830 two separate expressions of entropy. 745 00:56:20,130 --> 00:56:24,840 What we want to do now is to count up the different ways that we can 746 00:56:24,840 --> 00:56:28,140 arrange the particles and arrive at these equivalent 747 00:56:28,140 --> 00:56:33,030 configurations. This number of equivalent microstates is a 748 00:56:33,030 --> 00:56:37,650 measure of the entropy in the 5050 configuration, we have many 749 00:56:37,650 --> 00:56:41,340 equivalent microstates. So we go from a situation with few 750 00:56:41,340 --> 00:56:46,830 microstates much lower entropy to a situation with many, many 751 00:56:46,830 --> 00:56:51,960 microstates much higher entropy, we're going from configurations 752 00:56:51,960 --> 00:56:56,640 which are less likely to occur to the configurations which are most 753 00:56:56,640 --> 00:56:57,480 likely to occur, 754 00:56:58,260 --> 00:57:02,190 the absolute temperature arch becomes a probability distribution 755 00:57:02,310 --> 00:57:07,410 for finding the plasma. at maximum temperature positive and negative, 756 00:57:07,530 --> 00:57:11,400 the absolute change in entropy arch becomes a probability 757 00:57:11,400 --> 00:57:16,770 distribution for finding the phone on at zero degrees temperature. If 758 00:57:16,770 --> 00:57:21,210 we removed the absolute value bars from temperature, the left side of 759 00:57:21,210 --> 00:57:25,110 our temperature arch would consist of double negative components. 760 00:57:25,290 --> 00:57:30,060 Thus flipping the left side of the arch over into the third quadrant 761 00:57:30,090 --> 00:57:34,320 of our graph. Without absolute value bars, there is this 762 00:57:34,320 --> 00:57:38,670 continuity in the arch at t squared equals zero, between 763 00:57:38,670 --> 00:57:44,130 positive t prime and negative t prime. We can do a similar thing 764 00:57:44,130 --> 00:57:48,570 with the sideways absolute change in entropy arch, letting TB either 765 00:57:48,570 --> 00:57:54,000 positive or negative, the top section of the arch flops over 766 00:57:54,000 --> 00:57:58,590 into the second quadrant of the graph. Interestingly, both of 767 00:57:58,590 --> 00:58:02,550 these broken arches correspond with the transition points and 768 00:58:02,550 --> 00:58:06,960 slightly resemble the lambda point graph for phase change between 769 00:58:06,960 --> 00:58:11,730 liquid helium one and liquid helium two, it becomes evident 770 00:58:11,820 --> 00:58:15,420 that entropy plays an intimate role in the mechanism for the 771 00:58:15,420 --> 00:58:20,010 evolution of time. However, the broken continuity between entropy 772 00:58:20,010 --> 00:58:24,240 states and temperature states leads to a discontinuity in the 773 00:58:24,240 --> 00:58:29,370 mechanism for the evolution of time. So far, we have several 774 00:58:29,370 --> 00:58:33,630 physical properties we are trying to match up particles and anti 775 00:58:33,630 --> 00:58:37,650 particles, hot and cold temperatures forward and reverse 776 00:58:37,650 --> 00:58:43,230 time, change in entropy, and three dimensional time. However, this 777 00:58:43,230 --> 00:58:47,400 can all be simplified through the use of a spinner. To illustrate 778 00:58:47,400 --> 00:58:51,300 the symmetry of a spinner, we'll use a small plate with a wineglass 779 00:58:51,300 --> 00:58:55,830 placed on top while rotating my arm around in a circle in order to 780 00:58:55,830 --> 00:59:00,630 bring the plate and wineglass back to their original orientation, the 781 00:59:00,630 --> 00:59:06,360 plate and wine glass must undergo to complete rotations. The simple 782 00:59:06,360 --> 00:59:10,920 properties of the Mobius strip can demonically give you an idea of 783 00:59:10,920 --> 00:59:19,500 how the temporal loop spinner will be set up. It demonstrates a beta 784 00:59:19,500 --> 00:59:24,480 decay like and anti beta decay like process caught in a temporal 785 00:59:24,480 --> 00:59:28,950 loop. This loop represents a single hydrogen atom like 786 00:59:28,950 --> 00:59:34,050 structure trapped between forward and reverse time, but cycling in 787 00:59:34,050 --> 00:59:39,270 the direction of the arrow of time. And mobius strip strikingly 788 00:59:39,330 --> 00:59:43,440 has only one side with twice the length of a circle of the same 789 00:59:43,440 --> 00:59:47,850 radius. This is easily demonstrated by making a mobius 790 00:59:47,850 --> 00:59:54,090 strip. You simply make a loop with a twist. The bend or twist in the 791 00:59:54,090 --> 00:59:58,530 loop represents where the absolute values apply to our temperature 792 00:59:58,530 --> 01:00:02,640 and change in entropy are arches, which is an example of cross 793 01:00:02,640 --> 01:00:03,240 symmetry. 794 01:00:05,219 --> 01:00:09,119 On one side of the loop, we have a phone on like state, and on the 795 01:00:09,119 --> 01:00:12,959 other side we have a plasma on like state, but notice they're 796 01:00:12,959 --> 01:00:17,849 actually two sides of the same state. In this analogy, the spin 797 01:00:17,849 --> 01:00:22,229 and orbital properties of our plasma and phone on are either 798 01:00:22,229 --> 01:00:27,389 complimentary, or supplementary, depending on the signs of t prime 799 01:00:27,389 --> 01:00:32,669 and t. This is a good analogy for how identity crisis plays a role 800 01:00:32,669 --> 01:00:36,449 in the mechanism of time evolution. So how does it work? 801 01:00:37,439 --> 01:00:40,949 When linear time passes through absolute zero, the temporal frame 802 01:00:40,949 --> 01:00:44,879 of reference appears to reverse time directions. When the rate of 803 01:00:44,879 --> 01:00:48,869 the passage of time passes through absolute zero, the temporal frame 804 01:00:48,869 --> 01:00:53,399 of reference appears to flip time directions. Since we use absolute 805 01:00:53,399 --> 01:00:58,229 t prime, t prime can be either negative or positive. Similar to 806 01:00:58,229 --> 01:01:03,749 frequency. Since we use t squared, t can be either negative or 807 01:01:03,749 --> 01:01:08,189 positive similar to wavelength, t prime and t squared can be 808 01:01:08,189 --> 01:01:12,749 oriented around the unit circle, when t prime equals negative one, 809 01:01:13,079 --> 01:01:20,099 or one, t squared equals zero, when t prime equals zero, t equals 810 01:01:20,099 --> 01:01:25,319 negative one, or one. When absolute values are used, t prime 811 01:01:25,319 --> 01:01:30,149 and T are inversely proportional. If there's a negative change in t 812 01:01:30,149 --> 01:01:35,039 prime or proportional if there is a positive change in t prime. 813 01:01:35,669 --> 01:01:41,579 However, without absolute values, where t prime and t can be either 814 01:01:41,579 --> 01:01:44,879 positive or negative, the inversely proportional 815 01:01:44,879 --> 01:01:49,019 relationship is maintained through opposing signs and the 816 01:01:49,019 --> 01:01:52,469 proportional relationship is maintained through equivalent 817 01:01:52,469 --> 01:01:58,139 signs. The cases where t prime and T are inversely proportional, and 818 01:01:58,139 --> 01:02:01,979 carry opposing signs can be configured into a loop or 819 01:02:01,979 --> 01:02:07,079 repeating circle. The cases where t prime and T are proportional and 820 01:02:07,079 --> 01:02:11,969 carry the same signs can be configured into the linear time in 821 01:02:11,969 --> 01:02:17,609 and out sections of the time loop. The plasma and phone on can be 822 01:02:17,609 --> 01:02:22,289 viewed as two distinct photon like phases within a temperature slash 823 01:02:22,289 --> 01:02:27,149 time loop, when t prime equals negative one, or positive one, and 824 01:02:27,149 --> 01:02:31,139 t squared equals zero, this represents the peak the peak 825 01:02:31,169 --> 01:02:35,909 amplitude of the absolute value of t prime, when t equals minus one 826 01:02:35,909 --> 01:02:40,529 or positive one, and t prime equals zero, this represents the 827 01:02:40,529 --> 01:02:44,519 peak to peak amplitude of t squared. The inversely 828 01:02:44,519 --> 01:02:49,079 proportional relationship between the absolute value of t prime and 829 01:02:49,079 --> 01:02:53,669 t squared is the fundamental principle behind entanglement 830 01:02:53,999 --> 01:02:57,389 action at a distance and the uncertainty principle, 831 01:02:58,650 --> 01:03:02,430 our destination, the lab of Enrique Galvez, physics professor 832 01:03:02,430 --> 01:03:02,490 at 833 01:03:02,490 --> 01:03:07,590 Colgate University, so what we're seeing is the fluorescing of the 834 01:03:07,770 --> 01:03:10,050 atoms and molecules in the card. 835 01:03:10,770 --> 01:03:13,530 If you could look closely enough, you'd see that the light comes in 836 01:03:13,530 --> 01:03:17,310 discrete units called photons. This is the heart of the 837 01:03:17,310 --> 01:03:21,330 apparatus, every so often something special happens, an 838 01:03:21,330 --> 01:03:25,410 incoming photon gets split into the photons are polarized in 839 01:03:25,410 --> 01:03:27,510 either the horizontal or vertical direction, 840 01:03:28,020 --> 01:03:31,260 the horizontal ones get created in one of the crystals, and the 841 01:03:31,260 --> 01:03:37,440 vertical pairs get created in the other crystal, we can not tell in 842 01:03:37,440 --> 01:03:45,390 which crystal the piers were born. And in that puts them in this 843 01:03:45,390 --> 01:03:47,190 quantum mechanical superposition, 844 01:03:47,520 --> 01:03:50,790 their polarization is the same. They're either both vertical or 845 01:03:50,790 --> 01:03:54,030 both horizontal. But it's impossible to know which their 846 01:03:54,030 --> 01:03:56,790 polarization isn't determined until they're actually measured. 847 01:03:57,330 --> 01:03:59,700 The particles properties are linked, even though those 848 01:03:59,700 --> 01:04:01,590 properties haven't yet been determined. 849 01:04:01,980 --> 01:04:06,480 If the photon is polarized see vertically, and it comes to a 850 01:04:06,480 --> 01:04:11,400 vertical polarizer. That photon will pass. If that vertical photon 851 01:04:11,400 --> 01:04:15,900 comes to a horizontal polarizer, it will not pass. If it comes to a 852 01:04:15,900 --> 01:04:22,170 polarizer that it is diagonal, and this is my vertical polarizer. I 853 01:04:22,170 --> 01:04:26,100 make it horizontal polarizer. But now if I put it at some diagonal 854 01:04:26,130 --> 01:04:30,900 angle, some of the light comes through. photons are indivisible. 855 01:04:31,530 --> 01:04:36,390 So it's not that half a photon comes through, but that half the 856 01:04:36,390 --> 01:04:41,370 time the photon goes. If we have polarizers that are parallel to 857 01:04:41,370 --> 01:04:43,770 each other, they will be transmitted through the polar 858 01:04:43,770 --> 01:04:48,120 races, and we'll get coincidences. But it's the polarizers are 859 01:04:48,450 --> 01:04:51,930 orthogonal to each other. We don't get a case where both photons get 860 01:04:51,930 --> 01:04:56,550 transmitted. Now when the photons are not entangled, then you have 861 01:04:56,550 --> 01:05:02,160 50% chance for one and 50% chance for the other. So then if we 862 01:05:02,160 --> 01:05:06,240 measure coincidences, we'll get 25% of the time we'll get measured 863 01:05:06,240 --> 01:05:09,360 coincidences, whether these two are parallel or orthogonal. 864 01:05:09,660 --> 01:05:13,260 Doesn't matter where that polarizers are orthogonal, we 865 01:05:13,260 --> 01:05:16,890 still get 50% chance that they will go through and 25% chance 866 01:05:16,890 --> 01:05:19,740 that they will, that we will record coincidence. 867 01:05:20,040 --> 01:05:24,150 If photons are quantum entangled, they line up 100% of the time. If 868 01:05:24,150 --> 01:05:28,950 they're not, they line up only 50% just by chance. It also really 869 01:05:28,950 --> 01:05:31,230 troubled Albert Einstein, he thought entanglement might be a 870 01:05:31,230 --> 01:05:35,790 sort of smoke and mirrors trick. It took nearly 40 years before 871 01:05:35,790 --> 01:05:39,660 Irish physicists john Bell devised a way to test both possibilities. 872 01:05:39,840 --> 01:05:44,670 And lo and behold, he found entanglement is real. This tells 873 01:05:44,670 --> 01:05:48,270 us reality is not defined by proximity, something physicists 874 01:05:48,270 --> 01:05:51,660 refer to as nonlocality. Non local 875 01:05:51,659 --> 01:05:57,749 implies that the state of these two photons is joined. That is 876 01:05:57,749 --> 01:06:01,319 that both photons share the same state so that if we do a 877 01:06:01,319 --> 01:06:04,949 measurement on one photon, implicitly, we're doing a 878 01:06:04,949 --> 01:06:07,739 measurement on the other photon doing a measurement of one photon 879 01:06:07,769 --> 01:06:09,659 determines the state of both. 880 01:06:11,040 --> 01:06:15,780 Since t prime corresponds with mass more than T squared, and 881 01:06:15,780 --> 01:06:20,850 since t squared corresponds with space more than t prime, t prime 882 01:06:20,850 --> 01:06:24,720 corresponds with a momentum reference frame, and t squared 883 01:06:24,720 --> 01:06:28,980 corresponds with a position reference frame. Therefore, we can 884 01:06:28,980 --> 01:06:33,660 express Planck's constant in the form of age in terms of temporal 885 01:06:33,660 --> 01:06:37,890 units. The doublet form of this expression which accounts for both 886 01:06:37,890 --> 01:06:43,590 directions of time, particles and anti particles, etc, is consistent 887 01:06:43,590 --> 01:06:48,300 with the modern expression of the uncertainty principle. Still, what 888 01:06:48,300 --> 01:06:53,220 initiates and sustains a time loop and which direction does a time 889 01:06:53,220 --> 01:06:58,170 loop rotate. To offset the natural symmetry of the unit circle found 890 01:06:58,170 --> 01:07:02,370 within the temperature slash time loop, we will apply the temporal 891 01:07:02,370 --> 01:07:05,880 mechanical expression for acceleration to the initial 892 01:07:05,880 --> 01:07:10,470 conditions of the cycle, any slight drift away from a slope of 893 01:07:10,470 --> 01:07:16,470 one and an offset can set a time loop in motion. Acceleration can 894 01:07:16,470 --> 01:07:20,730 be expressed as a ratio between varying degrees of the passage of 895 01:07:20,730 --> 01:07:25,740 time, a change in the passage of time and a change in the gradient 896 01:07:25,770 --> 01:07:29,880 of present moments per periods of time, are both inversely 897 01:07:29,880 --> 01:07:33,450 proportional. The new equivalence principle found in the basic 898 01:07:33,450 --> 01:07:37,830 existence equations can be applied to the expression for acceleration 899 01:07:37,830 --> 01:07:41,670 to get a gradient. Since the ratio between relative frames of 900 01:07:41,670 --> 01:07:46,020 reference has a slope equal to the ratio between initial frames of 901 01:07:46,020 --> 01:07:50,550 reference, this can give us a mechanism for time evolution, a 902 01:07:50,550 --> 01:07:55,380 singularity, where a over b equals one expressed in temporal 903 01:07:55,380 --> 01:07:59,760 coordinates indicates a shared temporal frame of reference, it 904 01:07:59,760 --> 01:08:04,140 does not indicate a beginning of time, if it turns out that there 905 01:08:04,140 --> 01:08:09,120 In fact, was a big bang. It may be the beginning of this space around 906 01:08:09,120 --> 01:08:13,950 us as we know it, but it cannot be the beginning of time, time has no 907 01:08:13,950 --> 01:08:17,970 beginning. And the expression a over b corresponds with a unit 908 01:08:17,970 --> 01:08:22,530 circle, not a single point. irreversible time loops may have a 909 01:08:22,530 --> 01:08:26,640 relative beginning, the time itself does not. How do we know 910 01:08:26,640 --> 01:08:30,330 which direction of time loop alternates relative to each flip 911 01:08:30,360 --> 01:08:34,860 and reversal while maintaining the arrow of time. Given we're dealing 912 01:08:34,860 --> 01:08:38,520 with the unit circle and negative numbers constructing a close 913 01:08:38,520 --> 01:08:43,080 timely, it is inevitable that we would use imaginary numbers 914 01:08:43,140 --> 01:08:46,920 numbers involving the square root of negative one. A similar 915 01:08:46,920 --> 01:08:51,000 ambiguity is found in the definition of the imaginary unit, 916 01:08:51,930 --> 01:08:56,040 the base unit for imaginary numbers, the following equation is 917 01:08:56,040 --> 01:09:00,570 used to define the imaginary unit. Since this equation has two 918 01:09:00,570 --> 01:09:04,650 solutions, it appears that the definition for the imaginary unit 919 01:09:04,680 --> 01:09:09,840 is not well defined. However, when using the imaginary unit in matrix 920 01:09:09,840 --> 01:09:14,280 equations, such as equations for our time loop, the ambiguity 921 01:09:14,280 --> 01:09:18,390 becomes a convention for choosing a direction around the unit circle 922 01:09:18,480 --> 01:09:23,190 clockwise or counterclockwise. Maintaining consistency in 923 01:09:23,190 --> 01:09:25,020 calculation. Well, how 924 01:09:25,020 --> 01:09:28,800 does systems evolve with time? What's the basic rule for the 925 01:09:28,800 --> 01:09:32,610 evolution of a system? some initial state of the system 926 01:09:32,850 --> 01:09:36,750 evolves over a period of time. There's something that I'll call 927 01:09:36,780 --> 01:09:42,270 you times A, and of course, you I intend to mean a unitary operator. 928 01:09:42,960 --> 01:09:50,010 It means that it times its Hermitian conjugate is the unit 929 01:09:50,010 --> 01:09:54,390 operator. Let's suppose the same thing is true that if we started 930 01:09:54,810 --> 01:09:59,970 with state B, after the same evolution, the evolution operator 931 01:10:00,570 --> 01:10:06,030 axon a to give whatever a becomes it axon B to give whatever BB 932 01:10:06,030 --> 01:10:10,920 comes. Now we have the complex conjugate bra vectors are sort of 933 01:10:10,920 --> 01:10:14,790 complex conjugates of ket vectors, and Hermitian conjugates of 934 01:10:14,790 --> 01:10:17,970 operators are complex conjugates of the original operators. So this 935 01:10:17,970 --> 01:10:22,860 is the the operation of conjugation. What happens now, to 936 01:10:22,860 --> 01:10:28,920 the inner product of A with B, the relationship simply is codified by 937 01:10:28,920 --> 01:10:33,960 the inner product between them, B with a if b is orthogonal to a, 938 01:10:33,960 --> 01:10:38,580 they're surely different. If b is parallel to either the same state, 939 01:10:39,000 --> 01:10:45,390 and if B and A overlap, then anything which is certain in B has 940 01:10:45,390 --> 01:10:49,440 a certain probability of occurring if you're in the state vector a 941 01:10:49,440 --> 01:10:57,570 and vice versa, after a period of time B becomes U dagger times B, 942 01:10:57,930 --> 01:11:04,710 that's what happens to be an A becomes u times A. If you want to 943 01:11:04,710 --> 01:11:08,130 picture this in your head, think of these vectors as evolving in 944 01:11:08,130 --> 01:11:12,570 time, the state vectors evolve in time, but keeping the angles 945 01:11:12,570 --> 01:11:18,360 between them fixed. In that case, that tells you that ba must equal 946 01:11:18,360 --> 01:11:24,090 b U dagger u A for all A and B. The implication the mathematical 947 01:11:24,090 --> 01:11:26,820 implication of that is that u is unitary 948 01:11:27,540 --> 01:11:28,860 that U 949 01:11:28,860 --> 01:11:33,810 dagger times u is just the unit the unit operator. Alright, so 950 01:11:33,810 --> 01:11:38,370 that's the that's the fundamental underlying principle of time 951 01:11:38,370 --> 01:11:41,250 evolution of state vectors in quantum mechanics. 952 01:11:41,970 --> 01:11:45,810 In physics, the mathematical function acting on a physical 953 01:11:45,810 --> 01:11:49,920 system that corresponds with the total energy of that system is 954 01:11:49,920 --> 01:11:51,240 called the Hamiltonian. 955 01:11:51,780 --> 01:11:58,410 After a time capital T, the system has evolved the size of t plus 956 01:11:58,410 --> 01:12:03,060 capital T, and that according to what we've written up, there must 957 01:12:03,060 --> 01:12:11,250 just be you have capital T times psi have small team. time 958 01:12:11,250 --> 01:12:16,380 evolution to a certain amount of time is governed by a unitary 959 01:12:16,380 --> 01:12:17,040 operator. 960 01:12:17,310 --> 01:12:21,360 Since the total energy of a system cannot change while undergoing 961 01:12:21,360 --> 01:12:25,620 transformation from one state to the next, it is presumed that the 962 01:12:25,620 --> 01:12:29,460 Hamiltonian does not change preserving the conservation of 963 01:12:29,460 --> 01:12:34,020 energy, the operator that governs time evolution from one state to 964 01:12:34,020 --> 01:12:38,700 the next must be unitary, unchanged, both forward and 965 01:12:38,700 --> 01:12:40,290 reverse. One way 966 01:12:40,320 --> 01:12:44,640 of finding out how systems evolve is to let them evolve through 967 01:12:44,640 --> 01:12:48,930 very, very short time intervals, we can break up that capital T 968 01:12:48,930 --> 01:12:52,410 into a lot of little time intervals, and evolve it over one 969 01:12:52,410 --> 01:12:55,740 small time interval, then another small time interval, another small 970 01:12:55,740 --> 01:12:59,250 time interval, what can I say about you have epsilon when 971 01:12:59,250 --> 01:13:03,810 epsilon is small, if epsilon is small, the correction is small. So 972 01:13:03,810 --> 01:13:09,000 let's write down epsilon times something. This is entirely a 973 01:13:09,000 --> 01:13:13,260 convention, but I'm going to write it as I think minus i think, do I 974 01:13:13,260 --> 01:13:19,290 want a minus sign? Yes, I want a minus sign, and I an epsilon i, 975 01:13:19,980 --> 01:13:24,360 that's the important thing is the epsilon. There's no content to all 976 01:13:24,360 --> 01:13:28,710 of this I and h bar here, it can all be absorbed into the 977 01:13:28,710 --> 01:13:34,140 definition of capital H, we have to have that you have epsilon, or 978 01:13:34,140 --> 01:13:41,460 U dagger of epsilon times u of epsilon should be equal to one. U 979 01:13:41,460 --> 01:13:48,960 dagger is equal to one plus i epsilon over h bar times the 980 01:13:48,960 --> 01:13:52,170 Hermitian conjugate of H when you Hermitian conjugate, you have to 981 01:13:52,170 --> 01:13:56,460 Hermitian conjugate the operators. One times one is one that's going 982 01:13:56,460 --> 01:14:00,750 to cancel this one, anything of order epsilon squared is too small 983 01:14:00,750 --> 01:14:04,080 to worry about. And the only thing that we'll have will be an AI 984 01:14:04,080 --> 01:14:09,900 epsilon over h bar. And then from here times one we'll have h bar, 985 01:14:10,230 --> 01:14:17,880 sorry, h dagger. But from one times here, we will have minus h. 986 01:14:18,570 --> 01:14:24,210 So the result is h dagger minus h equals zero. Same thing as saying 987 01:14:24,240 --> 01:14:28,860 h dagger equals h. In other words, whatever H is it has to equal its 988 01:14:28,860 --> 01:14:30,420 own Hermitian conjugate. 989 01:14:30,750 --> 01:14:35,070 There is an alternative way to solve this expression. We can 990 01:14:35,070 --> 01:14:40,140 simplify this to just being epsilon and infinite tasmota. And 991 01:14:40,140 --> 01:14:45,840 we can simplify this to mean epsilon and infinitesimal. What we 992 01:14:45,840 --> 01:14:51,570 end up with is one plus epsilon squared equaling one. Now it's 993 01:14:51,570 --> 01:14:55,890 argued mathematically, that epsilon being an infinite tasmota 994 01:14:55,980 --> 01:15:01,860 if we square it, that that's so small, so infinitely small that we 995 01:15:01,860 --> 01:15:06,720 can think of it in terms of zero. That may or may not be true. 996 01:15:07,050 --> 01:15:10,470 However, there's a way to do this algebraically that seems to be 997 01:15:10,470 --> 01:15:14,100 more beneficial for defining things in quantum mechanics. 998 01:15:14,520 --> 01:15:18,810 Instead of setting this up, so that one plus epsilon squared 999 01:15:18,810 --> 01:15:24,570 equals one, we can have one plus epsilon squared equaling one plus 1000 01:15:24,570 --> 01:15:29,640 epsilon squared. Because honestly, we really don't know if that goes 1001 01:15:29,640 --> 01:15:34,920 to zero. Mathematically, we could defer to the equivalence principle 1002 01:15:34,920 --> 01:15:40,980 found in the basic exist equations. What it allows us to do 1003 01:15:41,250 --> 01:15:45,660 is still have the Hamiltonian being unitary, but with a 1004 01:15:45,660 --> 01:15:51,960 gradient, that this variance can allow for larger and larger time 1005 01:15:51,960 --> 01:15:57,540 intervals. This new approach to time evolution suggests that the 1006 01:15:57,540 --> 01:16:01,710 traditional approach corresponds with the conservation of energy 1007 01:16:01,770 --> 01:16:06,210 only because there's no actual change of state over any period of 1008 01:16:06,210 --> 01:16:06,660 time, 1009 01:16:07,320 --> 01:16:13,020 capital P was zero, then sy of t plus capital T headed just better 1010 01:16:13,020 --> 01:16:17,640 just beside of the original T. The implication of that is you have 1011 01:16:17,700 --> 01:16:24,630 zero. No evolution at all, is just a unit. The identity operator, it 1012 01:16:24,630 --> 01:16:27,300 does nothing, it leaves the state unchanged. 1013 01:16:27,810 --> 01:16:31,650 In this way, the evolution of quantum states is invariant merely 1014 01:16:31,650 --> 01:16:35,460 because nothing happened. If we compare the new equivalence 1015 01:16:35,460 --> 01:16:39,180 principle found in the basic existence equations to our new 1016 01:16:39,180 --> 01:16:43,050 expression of the Hamiltonian, taking the reverse side of a time 1017 01:16:43,050 --> 01:16:47,760 loop into consideration and cross symmetry, we get an equivalence 1018 01:16:47,760 --> 01:16:51,810 that matches our time evolution generator, we end up with an 1019 01:16:51,810 --> 01:16:55,230 alternative approach to time evolution that actually has a 1020 01:16:55,230 --> 01:17:00,000 gradient, the Hamiltonian is still invariant, but similar to how 1021 01:17:00,000 --> 01:17:04,470 inertial mass is Lorentz invariant, there's a special case 1022 01:17:04,470 --> 01:17:08,280 where we can still derive the traditional equivalence, a phase 1023 01:17:08,280 --> 01:17:12,930 is a complex number, a complex number is an X and a Y with an x 1024 01:17:12,930 --> 01:17:18,240 equal to i Y, it also can be represented as an R and a theta, 1025 01:17:18,600 --> 01:17:23,970 and it can be represented in the form x plus ay y, that's the 1026 01:17:23,970 --> 01:17:29,790 complex number z, the notion of complex conjugate the complex 1027 01:17:29,790 --> 01:17:34,650 conjugate of a complex number is just the corresponding complex 1028 01:17:34,650 --> 01:17:39,930 number in the lower half plane, which has exactly the same form r 1029 01:17:40,260 --> 01:17:44,550 except instead of e to the i theta, it has e to the minus i 1030 01:17:44,550 --> 01:17:54,420 theta. So wherever z is R e to the i theta, z star is R e to the 1031 01:17:54,420 --> 01:17:55,560 minus i theta, 1032 01:17:56,310 --> 01:17:58,980 y are the other two quadrants ignored. 1033 01:17:59,550 --> 01:18:03,090 Now, in particular, the special numbers which are called just pure 1034 01:18:03,090 --> 01:18:09,390 phases, special complex numbers, for which r is equal to one, they 1035 01:18:09,390 --> 01:18:15,270 are the numbers which lie on the unit circle. In other words, for 1036 01:18:15,270 --> 01:18:20,700 which r is equal to one, and theta can vary around from zero to two 1037 01:18:20,700 --> 01:18:26,370 pi, those numbers are called phases, e to the i, theta is a 1038 01:18:26,370 --> 01:18:30,960 special kind of number, which I will call a phase, and it has the 1039 01:18:30,960 --> 01:18:36,060 property that when you multiply it by its complex conjugate, if we 1040 01:18:36,060 --> 01:18:42,660 multiply z times z star, and if z is a pure phase, then the result 1041 01:18:42,660 --> 01:18:47,400 is just one. Why is that? Because it's e to the i theta times e to 1042 01:18:47,400 --> 01:18:48,630 the minus rt phaidor. 1043 01:18:49,170 --> 01:18:52,680 Can our time loop be amalgamated with quantum mechanics by 1044 01:18:52,680 --> 01:18:56,610 interchanging these disregarded components with components from 1045 01:18:56,610 --> 01:18:57,330 our time loop? 1046 01:18:58,110 --> 01:19:01,770 mathematically speaking, this vector is not equal to this 1047 01:19:01,770 --> 01:19:05,970 vector. But all of the physical properties of these two are 1048 01:19:05,970 --> 01:19:11,610 identical. For example, supposing we took sy here, if we multiply 1049 01:19:11,610 --> 01:19:16,590 side by e to the i theta nodes, if we multiply the cat by e to the i 1050 01:19:16,590 --> 01:19:19,470 theta, what happens to the corresponding bra, the 1051 01:19:19,470 --> 01:19:25,770 corresponding bra is sy, e to the minus i theta in this sandwich, in 1052 01:19:25,770 --> 01:19:31,950 this case, sandwich, we replace the bread side by e to the i theta 1053 01:19:31,950 --> 01:19:36,420 times sy ket vector to get the factory to the r theta. This one 1054 01:19:36,420 --> 01:19:39,960 we get the fact that e to the minus i beta and this would just 1055 01:19:40,320 --> 01:19:45,990 cancel out of the expression, the phase is irrelevant. We can choose 1056 01:19:46,020 --> 01:19:49,650 the overall phase of the state any way we like doesn't make any 1057 01:19:49,650 --> 01:19:51,990 difference to what to what we would measure. 1058 01:19:52,380 --> 01:19:57,210 If we look at these disregarded phases, while we can see Is it 1059 01:19:57,210 --> 01:20:01,080 because of the double negative sign queue Star would have an 1060 01:20:01,080 --> 01:20:06,150 equivalence with sy, and Q would have an equivalence with size 1061 01:20:06,150 --> 01:20:11,220 star. Based on the peculiar relationship with complex 1062 01:20:11,220 --> 01:20:17,250 conjugates. In a complex plane, the identity between Q and inside 1063 01:20:17,250 --> 01:20:24,000 star and Q star and cy can flip and reverse all the way around, 1064 01:20:24,150 --> 01:20:29,400 creating our time loop for the evolution of time. And so based on 1065 01:20:29,400 --> 01:20:34,950 this mechanism, here, we can re account for the negative energy or 1066 01:20:34,950 --> 01:20:38,790 anti matter phase of the direct equations with these missing 1067 01:20:38,790 --> 01:20:44,520 phases, rather than the so called missing anti matter. The time loop 1068 01:20:44,520 --> 01:20:48,390 model for time evolution is consistent with the contemporary 1069 01:20:48,390 --> 01:20:52,800 model of time evolution in quantum mechanics, because these extra 1070 01:20:52,800 --> 01:20:56,970 components and phases can still be disregarded when the timely 1071 01:20:57,030 --> 01:21:01,380 effects are minimal. The new equivalence principle found in the 1072 01:21:01,380 --> 01:21:05,460 basic existence equations corresponds with a more dynamical 1073 01:21:05,460 --> 01:21:10,110 approach to time evolution. by reversing the time interval of one 1074 01:21:10,110 --> 01:21:14,220 of these questions, we get an equivalence the works as the time 1075 01:21:14,220 --> 01:21:18,300 evolution generator. However, if we don't reverse the time interval 1076 01:21:18,330 --> 01:21:21,270 for one of the questions, the traditional treatment of the 1077 01:21:21,270 --> 01:21:26,610 Hamiltonian, as used by Susskind can be derived. This suggests that 1078 01:21:26,610 --> 01:21:30,870 the interrelationship between forward and reverse time in a time 1079 01:21:30,870 --> 01:21:35,670 loop can be quantized in two different ways. As a special case 1080 01:21:35,670 --> 01:21:39,840 within the time loop, the interval coinciding with the inclusion 1081 01:21:39,840 --> 01:21:44,250 principle and identity crises corresponds with the unitary 1082 01:21:44,250 --> 01:21:48,570 operator. This connection links the on reverse time interval to 1083 01:21:48,570 --> 01:21:52,470 entanglement and the uncertainty principle. If we take a second 1084 01:21:52,470 --> 01:21:56,430 look at our reverse time interval, can anything like it be found 1085 01:21:56,430 --> 01:22:00,390 anywhere in quantum mechanics? Furthermore, are there any 1086 01:22:00,390 --> 01:22:04,230 arbitrary uses of the negative sign that could be ascribed or 1087 01:22:04,230 --> 01:22:05,850 attributed to this reversal? 1088 01:22:06,630 --> 01:22:11,460 You take one times naught plus A naught times one. Well, that's 1089 01:22:11,490 --> 01:22:17,040 naught. And then you take naught times naught plus minus one times 1090 01:22:17,040 --> 01:22:25,470 one, that's minus one. And that is not equal to that. But I can 1091 01:22:25,470 --> 01:22:29,820 quickly make it equal to that I just put minus one in front, and 1092 01:22:29,820 --> 01:22:33,810 then I convert that to plus one. So effectively, I've now got 1093 01:22:33,840 --> 01:22:39,360 exactly the same Eigen vectors here, got the number in front is 1094 01:22:39,360 --> 01:22:44,130 now minus one. So, I've got a situation that when I apply this 1095 01:22:44,400 --> 01:22:52,200 matrix, this measureable this experiment on to the x Eigen 1096 01:22:52,230 --> 01:22:58,140 vector, which is the horizontal I get an Eigen value of A plus one, 1097 01:22:59,100 --> 01:23:04,230 when I apply the same observable onto the Y Eigen vector, I get the 1098 01:23:04,230 --> 01:23:10,050 same Eigen vector back, but with an Eigen value of minus one and 1099 01:23:10,050 --> 01:23:15,870 the result of the experiment is it horizontal or is it vertical, are 1100 01:23:15,870 --> 01:23:18,780 given by the Eigen values plus one or minus 1101 01:23:18,780 --> 01:23:23,040 one, this practice of bringing in a negative sign so that the Eigen 1102 01:23:23,040 --> 01:23:27,390 value has the proper sign could just as easily be attributed to 1103 01:23:27,390 --> 01:23:30,900 the reverse time interval three dimensional time loops have many 1104 01:23:30,900 --> 01:23:33,810 features that are harmonious with quantum mechanics, 1105 01:23:34,080 --> 01:23:38,940 consider an electron orbiting a nucleus, instead of thinking of 1106 01:23:38,940 --> 01:23:43,290 this as a simple orbit, we now need to think of the electron 1107 01:23:43,290 --> 01:23:48,720 behaving like a wave, it will be a standing wave, which means that as 1108 01:23:48,720 --> 01:23:53,310 the electron orbits the nucleus, the value of the wave function at 1109 01:23:53,400 --> 01:23:58,620 any point does not change. In other words, if the wave function 1110 01:23:58,620 --> 01:24:03,360 has a particular value at this point, then after the electron has 1111 01:24:03,360 --> 01:24:07,890 completed one further orbit, the value of the wave function will be 1112 01:24:07,890 --> 01:24:13,890 the same. Let us suppose that the length of the orbit is L, which is 1113 01:24:13,890 --> 01:24:17,580 essentially the circumference of the orbit. This means that the 1114 01:24:17,580 --> 01:24:24,690 wavefunction at any point x is e to the i k x, after the electron 1115 01:24:24,690 --> 01:24:30,240 has traveled to one full orbit, it will now be at position x plus L, 1116 01:24:30,960 --> 01:24:38,700 the wave function will be e to the i k x plus L, but these two wave 1117 01:24:38,700 --> 01:24:47,400 functions must be the same. So e to the i k x equals e to the i k x 1118 01:24:47,400 --> 01:24:57,360 plus L, which is e to the IK x multiplied by e to the i k l e to 1119 01:24:57,360 --> 01:25:04,680 the i k x term cancels out Leaving the requirement that e to the IK L 1120 01:25:04,860 --> 01:25:05,880 equals one 1121 01:25:06,780 --> 01:25:09,870 similar to our treatment of the Hamiltonian, there is an 1122 01:25:09,870 --> 01:25:14,520 alternative way here for getting the desired result by setting 1123 01:25:14,520 --> 01:25:20,010 these equal, though this may be true mathematically it this again 1124 01:25:20,010 --> 01:25:26,400 seems forced. Alternatively, what we can do is go ahead and allow 1125 01:25:26,400 --> 01:25:35,190 for e to the i okay l initial times e to the i k x initial to 1126 01:25:35,190 --> 01:25:42,450 equal e to the i k x Final times e to the i k l file. And in the same 1127 01:25:42,450 --> 01:25:48,120 way as the Boltzmann entropy temperature equations can be used 1128 01:25:48,120 --> 01:25:54,840 to define work we can go ahead and arrange this in the same way as we 1129 01:25:54,840 --> 01:25:59,340 did with the Hamiltonian and account for the time loop with a 1130 01:25:59,340 --> 01:26:08,550 forward and reverse time loop the Sai Sai star loop and the Q q star 1131 01:26:08,550 --> 01:26:13,800 loop equaling zero in these each representing one or the other 1132 01:26:13,980 --> 01:26:18,840 sides to the loop the forward and reverse side of our new quantum 1133 01:26:18,840 --> 01:26:25,380 timely we will denote this inverse function as Q, the complex 1134 01:26:25,380 --> 01:26:30,780 conjugates sigh and size star mixed with Q and Q star can be 1135 01:26:30,780 --> 01:26:35,010 flipped and reverse giving us cross conjugation equivalences 1136 01:26:35,100 --> 01:26:41,730 where Q star equals cy and cy star equals Q. Together the reversed 1137 01:26:41,730 --> 01:26:45,600 and on reverse time intervals generate time evolution in 1138 01:26:45,600 --> 01:26:50,970 association with the Hamiltonian. The same way Q and sy correlate 1139 01:26:50,970 --> 01:26:54,930 through cross symmetry where both wave functions are slightly out of 1140 01:26:54,930 --> 01:26:59,520 phase, there is a potential for fractional annihilation and the 1141 01:26:59,520 --> 01:27:04,230 emission of excited energy as well as a decreased potential for 1142 01:27:04,230 --> 01:27:09,090 annihilation and the absorption of excited energy. This idea can be 1143 01:27:09,090 --> 01:27:13,080 applied to quantum mechanics, the model of the hydrogen atom and a 1144 01:27:13,080 --> 01:27:17,370 new interpretation of the wave function and directs equations 1145 01:27:17,940 --> 01:27:22,470 attributed to physicists Wolfgang Pauli. The Pauli matrices are a 1146 01:27:22,470 --> 01:27:27,060 set of three two by two complex matrices used to account for the 1147 01:27:27,060 --> 01:27:31,620 interactions of subatomic particles, specifically, the spin 1148 01:27:31,620 --> 01:27:34,980 of a particle with respect to an electromagnetic field, 1149 01:27:35,730 --> 01:27:40,440 we look at this general form for the matrix and the group asks you 1150 01:27:40,440 --> 01:27:45,120 to a general vector in three dimensions has an x component, a y 1151 01:27:45,120 --> 01:27:48,120 component and a z component. And you have unit vectors here that 1152 01:27:48,120 --> 01:27:52,860 multiply to three components. And here you see a natural emergence 1153 01:27:52,890 --> 01:27:56,880 of the poly matrices. There they are those three. And the 1154 01:27:56,910 --> 01:28:03,450 assignments that are made are as follows the x poly matrix, the Y 1155 01:28:03,450 --> 01:28:08,160 poly matrix, and the Z poly matrix. So you have the three poly 1156 01:28:08,160 --> 01:28:14,130 matrices and the identity elements that form a basis here to give you 1157 01:28:14,160 --> 01:28:18,030 the general matrix, the SU two matrix, if we 1158 01:28:18,030 --> 01:28:22,170 plot the maximal and minimal values for t prime and t squared 1159 01:28:22,200 --> 01:28:26,370 into three dimensional coordinates, using T sub one T sub 1160 01:28:26,370 --> 01:28:32,460 two, T sub three, where t prime is T sub three, and t squared is T 1161 01:28:32,460 --> 01:28:37,080 sub one times T sub two, we quickly see that the time wave can 1162 01:28:37,080 --> 01:28:41,370 be expressed three dimensionally in part using the poly matrices. 1163 01:28:42,090 --> 01:28:46,170 When the time loop is expressed in the language of quantum mechanics, 1164 01:28:46,500 --> 01:28:50,460 it satisfies the anti matter components of the Dirac equation. 1165 01:28:51,150 --> 01:28:55,200 Now, the direct matrices have to satisfy the same anti commutation 1166 01:28:55,200 --> 01:28:59,010 relations as the poly matrices. However, there's only three poly 1167 01:28:59,010 --> 01:29:04,740 matrices sigma x, sigma y, and sigma z. And we need four matrices 1168 01:29:04,920 --> 01:29:09,750 that have those relationships. So we put the first poly matrix in 1169 01:29:09,750 --> 01:29:12,510 the upper right hand corner in the lower left hand corner zeros 1170 01:29:12,510 --> 01:29:15,690 everywhere else. And when we get to the third poly matrix, here's 1171 01:29:15,690 --> 01:29:18,690 the trick, the poly sigma z trick is one and minus one. So you're 1172 01:29:18,690 --> 01:29:24,270 going to have I and minus i, that gives us the extra degree of 1173 01:29:24,270 --> 01:29:28,890 freedom. So we have four direct matrices instead of three Polly's 1174 01:29:28,920 --> 01:29:33,270 with this trick of thinking of the matrices in terms of two by two 1175 01:29:33,270 --> 01:29:37,410 chunks, I write this all out here, this identity here is a two by two 1176 01:29:38,010 --> 01:29:42,060 zeros, a two by two zeros, two by two and eyes, again, two by two. 1177 01:29:42,240 --> 01:29:46,560 So when you multiply this matrix times, they should get the same 1178 01:29:46,560 --> 01:29:49,620 thing back with a one. And when you multiply the identity times 1179 01:29:50,130 --> 01:29:53,100 this eigenstate. Of course, you get the same thing back. So that 1180 01:29:53,100 --> 01:29:56,460 says the Eigen value for the energy for this one's MC squared 1181 01:29:56,490 --> 01:29:59,670 MC squared minus MC squared minus MC squared. So you can see that 1182 01:29:59,670 --> 01:30:03,600 the power Solutions split into two kinds of particles, one particle 1183 01:30:03,600 --> 01:30:07,410 and positive energy, one particle with negative energy. Now the 1184 01:30:07,410 --> 01:30:13,080 negative energy is troublesome, we have two kinds of solutions, in 1185 01:30:13,080 --> 01:30:16,920 terms of the energy eigenvalues here is one pair of solutions. And 1186 01:30:16,920 --> 01:30:17,910 here's the other pair. 1187 01:30:18,419 --> 01:30:21,959 The anti matter aspect of the drag equations may have been 1188 01:30:21,959 --> 01:30:26,549 misinterpreted, the convention is to assume that matter is composed 1189 01:30:26,549 --> 01:30:30,449 of particles distinctly different from anti matter, which is 1190 01:30:30,449 --> 01:30:34,979 supposed to be composed of anti particles, the hidden assumption 1191 01:30:35,009 --> 01:30:39,179 of one time dimension locks in this interpretation of the Dirac 1192 01:30:39,179 --> 01:30:44,399 equation. If we assume that matter consists of both particles and 1193 01:30:44,399 --> 01:30:48,569 anti particles cycling in and out of phase on opposite sides of a 1194 01:30:48,569 --> 01:30:52,139 time loop, such as with an electron orbital around the 1195 01:30:52,139 --> 01:30:56,669 hydrogen nucleus, the issue of missing aunty matter disappears. 1196 01:30:57,029 --> 01:31:01,889 And a complex relationship between time energy and mass appears. 1197 01:31:02,429 --> 01:31:06,269 What's interesting is that if you apply the concept of extra 1198 01:31:06,269 --> 01:31:11,159 dimensions of time, specifically three dimensions of time, and use 1199 01:31:11,159 --> 01:31:15,659 a four vector metric, similar to the one that's already used in 1200 01:31:15,659 --> 01:31:19,859 relativity, you take the traditional metric, and this new 1201 01:31:19,859 --> 01:31:23,369 metric, apply them together, you're able to drive 1202 01:31:23,730 --> 01:31:24,390 to 1203 01:31:24,419 --> 01:31:29,369 delta functions that pinpoint a particles charge density, or 1204 01:31:29,369 --> 01:31:31,679 energy states, if you will, and it's mass. 1205 01:31:34,230 --> 01:31:37,290 Sometimes you have nothing happening, you have nothing 1206 01:31:37,290 --> 01:31:40,680 happening for a long period of time, nothing happens for a long 1207 01:31:40,680 --> 01:31:44,250 period of time, and then of whack an impulse. So wouldn't it be 1208 01:31:44,250 --> 01:31:48,750 neat, if we had some type of function that could model this 1209 01:31:48,750 --> 01:31:52,500 type of behavior, it's called the Dirac delta function. And we'll 1210 01:31:52,500 --> 01:31:56,310 just informally say, Look, when it's an infinity, it pops up to 1211 01:31:56,310 --> 01:32:01,380 infinity when x is equal to zero. And it's zero everywhere else, 1212 01:32:01,410 --> 01:32:06,540 that this delta of x is a function such that its integral is one. So 1213 01:32:06,540 --> 01:32:11,880 it has this infinitely narrow base that goes infinitely high. And, 1214 01:32:12,030 --> 01:32:16,710 and the area under this, I'm telling you is of area one, that's 1215 01:32:16,710 --> 01:32:22,890 my x axis. And then if I put the t axis and I mean, we could call 1216 01:32:22,920 --> 01:32:26,040 what we call the the y axis, or the F of t axis or whatever we 1217 01:32:26,040 --> 01:32:29,220 want to call it, minus tau, and plus tau is going to be zero 1218 01:32:29,220 --> 01:32:33,240 everywhere in that minus tau, we jump to this level, and then we 1219 01:32:33,240 --> 01:32:38,940 stay constant at that level, until we get to plus tau. Now if I take 1220 01:32:38,940 --> 01:32:42,750 smaller and smaller values of tau, what's going to happen? tau is now 1221 01:32:42,750 --> 01:32:45,420 a smaller number. So when it's in the denominator, my one over two 1222 01:32:45,420 --> 01:32:48,510 tau is going to be something like this, it's going to be something 1223 01:32:48,510 --> 01:32:52,920 like this, then my height is going to be have to be higher, well, 1224 01:32:52,920 --> 01:32:55,890 you're going to these things are going to go infinitely close to 1225 01:32:55,890 --> 01:32:58,230 zero, but this is the limit, they're never going to be quite at 1226 01:32:58,230 --> 01:33:02,460 zero, and your height here is going to go infinitely high. So 1227 01:33:02,460 --> 01:33:05,520 you end up you're going to end up you're going to end up with your 1228 01:33:05,520 --> 01:33:11,610 Dirac delta function. And because of this, if you say, you know, if 1229 01:33:11,610 --> 01:33:15,180 you asked, Well, you know, what's the limit, intuitive argument, 1230 01:33:15,300 --> 01:33:19,620 you can say that the limit as from minus infinity to infinity of our 1231 01:33:19,620 --> 01:33:26,400 Dirac delta function of t dt is also going to be one and then 1232 01:33:26,400 --> 01:33:30,720 right at t equals zero, my Dirac delta function pops up like that. 1233 01:33:30,750 --> 01:33:34,800 So this is your Dirac delta function. This oscillation within 1234 01:33:34,800 --> 01:33:39,000 a double delta function is the culmination of three dimensional 1235 01:33:39,000 --> 01:33:43,230 time loop properties, expressed through the various applications 1236 01:33:43,260 --> 01:33:47,610 shown thus far, the time loop oscillations can be associated 1237 01:33:47,610 --> 01:33:51,690 with the equivalence between energy and inertial mass, where 1238 01:33:51,690 --> 01:33:55,260 the reversible closed loop corresponds with the conservation 1239 01:33:55,260 --> 01:34:00,270 of energy. This reversible close time loop can be used to quantify 1240 01:34:00,270 --> 01:34:04,230 energy levels with a self screening normalized set of 1241 01:34:04,230 --> 01:34:05,130 equations. 1242 01:34:06,420 --> 01:34:10,290 But we have one additional problem that's characteristic of the 1243 01:34:10,290 --> 01:34:17,550 theory itself. And that has to do with this problem. We have an odd 1244 01:34:17,550 --> 01:34:21,330 theory. For example, if we start with an electron here, we have a 1245 01:34:21,330 --> 01:34:25,860 certain amplitude that it gets to here. But in fact, there is the 1246 01:34:25,860 --> 01:34:29,460 total amplitude to get from point one to point two often so contains 1247 01:34:29,460 --> 01:34:33,030 other possibility of which this is one that the electron could have 1248 01:34:33,030 --> 01:34:36,510 emitted a photon and reabsorb them. And the electron could have 1249 01:34:36,510 --> 01:34:41,550 emitted two photons for the photon twice and reabsorb it and a whole 1250 01:34:41,550 --> 01:34:45,720 lot of other diagrams if you keep on going. I'd like to emphasize 1251 01:34:45,750 --> 01:34:49,800 that because of the other amplitude, the real total 1252 01:34:49,800 --> 01:34:54,120 amplitude to arrive at the time to supposing let's say that the 1253 01:34:54,120 --> 01:34:57,300 initially it was equally equal amplitude to be everywhere in 1254 01:34:57,300 --> 01:35:02,640 space does not revolve the Phase does not turn at exactly the 1255 01:35:02,640 --> 01:35:05,910 original value, but turns at a different value because of the 1256 01:35:05,910 --> 01:35:09,000 contributions of these other diets. Now, what we measure when 1257 01:35:09,000 --> 01:35:13,080 we measure the mass of an electron is an experimental world is the 1258 01:35:13,080 --> 01:35:17,400 rate that it goes around the mass of an electron is its energy, mass 1259 01:35:17,400 --> 01:35:21,900 and energy are equivalent, as Einstein showed, I keep saying 1260 01:35:21,900 --> 01:35:25,530 mass and energy and frequency interchangeably, because I'm so 1261 01:35:25,530 --> 01:35:29,190 used. At any rate, the frequency or the mass or the energy of the 1262 01:35:29,190 --> 01:35:32,850 electron experiment, the one that we're going to measure 1263 01:35:32,850 --> 01:35:36,060 experimentally is not the one we put into the theory. So we have 1264 01:35:36,060 --> 01:35:39,600 another mass, which is the mass experimental, you would say, first 1265 01:35:39,600 --> 01:35:42,690 approximation comes from this sample, it gets something like 1266 01:35:42,690 --> 01:35:47,550 that. And then you'd have a correction, a correction that 1267 01:35:47,550 --> 01:35:50,700 you'd compute by adding these diagrams together, and then maybe 1268 01:35:50,700 --> 01:35:54,960 see four times another correction, and so on, and so on. It's much 1269 01:35:54,960 --> 01:35:58,470 more convenient to express the answer in terms of this M, which 1270 01:35:58,470 --> 01:36:01,950 is a measured value. And it is in terms of that. So we have a habit 1271 01:36:02,190 --> 01:36:05,190 of writing all the answer, always imagine we might start with a 1272 01:36:05,190 --> 01:36:08,340 number like this, calculate everything and express everything 1273 01:36:08,340 --> 01:36:11,730 in terms of the experimental mass that we measured. The difficulty 1274 01:36:11,730 --> 01:36:15,300 is and the peculiarity, the thing that bothers me is that this 1275 01:36:15,300 --> 01:36:21,900 correction that you multiply c square by is infinity. That 1276 01:36:21,900 --> 01:36:24,600 multiplied by the same function for zero mass and then added 1277 01:36:24,600 --> 01:36:29,340 everywhere comes out. And that caused a lot of trouble. The first 1278 01:36:29,340 --> 01:36:31,260 people who invented this theory, they saw they were getting 1279 01:36:31,260 --> 01:36:35,460 infinity for every answer, because every problem that they did that 1280 01:36:35,460 --> 01:36:38,220 was something like this in it somewhere. And electron going from 1281 01:36:38,220 --> 01:36:40,320 one place to the other would always be possible to emit 1282 01:36:40,380 --> 01:36:44,310 photons. And every answer to every problem is infinity. It was 20 1283 01:36:44,310 --> 01:36:48,900 years later, it was noticed by beta and vice versa. That if the 1284 01:36:48,900 --> 01:36:53,580 answers were put in terms of M experimental, it looked as if in 1285 01:36:53,580 --> 01:36:57,000 spite of this being infinity, when you wrote the answers in terms of 1286 01:36:57,000 --> 01:37:00,630 that and computed them, there was no infinity, all infinities cancel 1287 01:37:00,630 --> 01:37:04,650 out. So the idea is, if this is goes toward infinity and a 1288 01:37:04,650 --> 01:37:07,530 calculation, we just say, well just keep on adjusting the M. So 1289 01:37:07,530 --> 01:37:12,090 that is the pics of back, the M comes out finite. Now you laugh at 1290 01:37:12,090 --> 01:37:14,730 that, because you have some kind of a feeling that the dippie way 1291 01:37:14,730 --> 01:37:18,810 to do mathematics. And it is and this Dippy way to do math, and it 1292 01:37:18,810 --> 01:37:21,390 is the way we do this theory because we don't never been able 1293 01:37:21,390 --> 01:37:24,900 to straighten it out. But we do know that if we do this Dippy way 1294 01:37:24,900 --> 01:37:27,870 we get results, particularly with experiments. Although the 1295 01:37:27,870 --> 01:37:30,960 calculations calculational scheme is quite definite. And we know 1296 01:37:30,960 --> 01:37:35,550 exactly what to do this process, which is called renormalization. 1297 01:37:38,220 --> 01:37:42,360 We are not satisfied that we're that is a mathematically 1298 01:37:42,360 --> 01:37:46,050 legitimate process. But you notice that we compute the 10 decimal 1299 01:37:46,050 --> 01:37:49,170 places that agrees with experiments. We don't know whether 1300 01:37:49,170 --> 01:37:54,780 if we stop the theory temporarily, it makes sense. Or if we just go 1301 01:37:54,810 --> 01:37:57,690 taking what we call the limit here where we use it everything, do the 1302 01:37:57,690 --> 01:38:00,990 renormalization process, calculate everything in terms of the 1303 01:38:00,990 --> 01:38:05,340 experimental math, and then forget about the infinity, whether that's 1304 01:38:05,340 --> 01:38:08,520 a mathematically sound thing. So I have to explain that in order to 1305 01:38:08,910 --> 01:38:12,540 tell you the exact position of physics today problems. 1306 01:38:15,720 --> 01:38:20,760 By arbitrarily cancelling out the infinite tasmota epsilon squared 1307 01:38:21,000 --> 01:38:26,670 to show the Hamiltonian is unitary relative to time evolution. And by 1308 01:38:26,670 --> 01:38:32,430 setting e to the i k x equal to e to the i k x plus one to fit 1309 01:38:32,430 --> 01:38:36,780 Schrodinger wave equation around a circle physics may have set itself 1310 01:38:36,780 --> 01:38:39,810 up for the problem Fineman discusses regarding 1311 01:38:39,810 --> 01:38:43,620 renormalization our three dimensional time loop fixed about 1312 01:38:43,620 --> 01:38:48,270 a complex unit circle mirrors the mechanics of electromagnetism. 1313 01:38:48,720 --> 01:38:52,770 Rather than propagating through space over a period of time, the 1314 01:38:52,770 --> 01:38:57,480 time wave propagates through time over a segment of space, three 1315 01:38:57,480 --> 01:39:00,840 dimensional space coordinates and three dimensional temporal 1316 01:39:00,840 --> 01:39:05,160 coordinates must be orthogonal, the traditional invariant 1317 01:39:05,160 --> 01:39:08,550 relationship between space and time coordinates can be 1318 01:39:08,550 --> 01:39:13,410 uncompromising, when a more complex base structure can remain 1319 01:39:13,410 --> 01:39:17,730 tremendously flexible. The key concept is that this complex 1320 01:39:17,730 --> 01:39:21,690 construct between space and temporal coordinates can remain 1321 01:39:21,690 --> 01:39:25,980 invariant without necessarily maintaining proximity. The 1322 01:39:25,980 --> 01:39:30,420 ramifications this has on special relativity would be that although 1323 01:39:30,660 --> 01:39:34,080 the speed of light is the same in all frames of reference, 1324 01:39:34,140 --> 01:39:38,640 regardless of relative motion, the interactions between energy and 1325 01:39:38,640 --> 01:39:43,830 matter are not necessarily limited in the same way. Quantum Mechanics 1326 01:39:43,830 --> 01:39:45,870 itself is an example of this. 1327 01:39:46,199 --> 01:39:51,059 The Einstein podolsky Rosen paradox sometimes shortened as the 1328 01:39:51,089 --> 01:39:55,529 E p, r. paradox. particles, which had always been thought of as 1329 01:39:55,529 --> 01:40:00,659 matter could somehow be thought of as waves now what Heisenberg's 1330 01:40:00,659 --> 01:40:03,629 uncertainty principle says you cannot both measure the y 1331 01:40:03,629 --> 01:40:08,669 component and the x component. At the same time. If you measure one 1332 01:40:08,699 --> 01:40:12,839 precisely, the other is completely unknown in the quantum mechanical 1333 01:40:12,839 --> 01:40:17,159 world, things are uncertain until you measure them. The wavefunction 1334 01:40:17,279 --> 01:40:21,209 is essentially describing the probability of finding the 1335 01:40:21,209 --> 01:40:24,779 electron at any of these points, but you know where it is, you just 1336 01:40:24,779 --> 01:40:28,259 found it, it's here. So they can no longer be a wavefunction, it 1337 01:40:28,259 --> 01:40:33,389 collapses into a single point that if you get two particles that 1338 01:40:33,389 --> 01:40:38,129 essentially derived from one common source, but they are what 1339 01:40:38,129 --> 01:40:43,979 is called entangled, let's say you get an electron and a positron. 1340 01:40:44,519 --> 01:40:48,569 This means that the properties of one will influence the properties 1341 01:40:48,599 --> 01:40:53,429 of another. Now the point is that if Alice measures the spin of the 1342 01:40:53,429 --> 01:40:59,219 electron and finds that the spin is up in the y direction, then it 1343 01:40:59,219 --> 01:41:02,729 must follow because of entanglement, that the spin of the 1344 01:41:02,729 --> 01:41:07,829 positron in the y direction will be down. And that has been 1345 01:41:07,829 --> 01:41:13,379 experimentally verified, one system producing two particles, 1346 01:41:13,619 --> 01:41:18,329 they do not have an individual wave function. In fact, they have 1347 01:41:18,329 --> 01:41:23,519 a shared wave function. This is a superposition of wave functions, 1348 01:41:23,519 --> 01:41:30,089 these two particles contribute to one overall wave function. So 1349 01:41:30,089 --> 01:41:37,049 here's the Einstein podolsky Rosen paradox. How does that positron 1350 01:41:37,079 --> 01:41:42,809 know what is happening over here in anuses, of oratory? Well, there 1351 01:41:42,809 --> 01:41:48,059 are two possible explanations. One is that the two particles are 1352 01:41:48,059 --> 01:41:53,939 somehow communicating one with one another instantaneously. And this 1353 01:41:53,939 --> 01:41:56,639 could be across the whole universe, you don't know what's 1354 01:41:56,639 --> 01:41:59,519 going to happen to these two particles, they can fly off and 1355 01:41:59,519 --> 01:42:03,569 travel enormous distances, each is keeping in touch with the other, 1356 01:42:03,899 --> 01:42:06,989 to make sure that what is happening to one has a 1357 01:42:06,989 --> 01:42:10,859 consequential effect to what's happening on the other. But that 1358 01:42:10,859 --> 01:42:13,739 would mean that information would have to be transmitted 1359 01:42:13,949 --> 01:42:18,839 instantaneously, that is faster than the speed of light. The other 1360 01:42:18,839 --> 01:42:24,299 alternative option is that somehow when these two particles are born, 1361 01:42:24,299 --> 01:42:28,679 when they are created, they have some information within them, it's 1362 01:42:28,679 --> 01:42:32,399 called the technical term is hidden variables, they have 1363 01:42:32,579 --> 01:42:37,619 information embedded within them, that will govern their behavior. 1364 01:42:37,769 --> 01:42:41,129 But my word, they'd have to have an awful lot of information hidden 1365 01:42:41,129 --> 01:42:46,769 away inside them to govern every single eventuality that might 1366 01:42:46,769 --> 01:42:51,209 happen to them, either through instantaneous communication, which 1367 01:42:51,209 --> 01:42:54,509 seems impossible, because it would mean traveling faster than the 1368 01:42:54,509 --> 01:42:58,949 speed of light, or through some kind of hidden variables or DNA 1369 01:42:59,099 --> 01:43:03,449 embedded in each particle, which seems highly unlikely because A, 1370 01:43:03,629 --> 01:43:06,629 it would mean that you would have to have a huge amount of 1371 01:43:06,629 --> 01:43:11,039 information embedded and be you have no way of knowing of what the 1372 01:43:11,039 --> 01:43:14,339 future holds in terms of interactions with other particles. 1373 01:43:14,939 --> 01:43:18,059 So that's the paradox. Quantum mechanics is very good at 1374 01:43:18,059 --> 01:43:22,559 describing what happens, we still have to establish why. 1375 01:43:23,580 --> 01:43:26,880 Once quantum mechanics is seen through the lens of three 1376 01:43:26,880 --> 01:43:32,640 dimensional time, the EPR paradox loses its Mystique. The speed of 1377 01:43:32,640 --> 01:43:36,990 light is restricted to a set speed limit within each individual frame 1378 01:43:36,990 --> 01:43:41,460 of reference. However, frames of reference can undergo periods of 1379 01:43:41,460 --> 01:43:45,660 time at varying rates of the passage of time, the entanglement 1380 01:43:45,690 --> 01:43:50,370 of particles, physical states, fields, etc, cannot be restricted 1381 01:43:50,370 --> 01:43:54,330 to single reference frames, there must be underlying reference 1382 01:43:54,330 --> 01:43:57,840 frames were the properties of entanglement are quantum 1383 01:43:57,840 --> 01:44:01,980 mechanical, yet remain consistent with special relativity without 1384 01:44:01,980 --> 01:44:06,810 any mystery. This suggests the absolute space like aspects within 1385 01:44:06,810 --> 01:44:10,830 the concept of curved space time can be replaced with infinite 1386 01:44:10,830 --> 01:44:15,450 sequences of relative frames of reference, defining physical 1387 01:44:15,450 --> 01:44:20,610 properties in terms of relations, the idea of absolute space and 1388 01:44:20,610 --> 01:44:26,190 time becomes epi phenomenal space time is a mathematical construct. 1389 01:44:30,300 --> 01:44:34,140 It's just an auxiliary construction and auxiliary 1390 01:44:34,140 --> 01:44:39,660 construction, which is useful in replacing two real fields by one 1391 01:44:39,660 --> 01:44:45,900 complex symbol. So that is, it's a trick for representing for cutting 1392 01:44:45,900 --> 01:44:50,640 down the number of equations that you write, cutting in half 1393 01:44:50,640 --> 01:44:54,210 basically by writing him as equations for complex variables. 1394 01:44:54,870 --> 01:44:59,490 A good analogy for this is the path integral formalization to sum 1395 01:44:59,490 --> 01:45:03,090 over him. Impossible trajectories to calculate the quantum 1396 01:45:03,120 --> 01:45:07,530 amplitudes. For some quantum state, one of the ingredients 1397 01:45:07,980 --> 01:45:12,750 in the approach to quantum theory that I working on is called the 1398 01:45:12,750 --> 01:45:17,100 path integral. The basic idea behind the path integral is that, 1399 01:45:17,970 --> 01:45:23,550 if a particle is measured to be at a particular position at a 1400 01:45:23,550 --> 01:45:31,500 particular time there, then to calculate the quantum amplitude 1401 01:45:31,650 --> 01:45:36,360 for it to be other particular different positions at later time. 1402 01:45:36,570 --> 01:45:42,660 There, you have to consider all the possible space time tasks that 1403 01:45:42,660 --> 01:45:46,980 the particle can take between those two space time events. So, 1404 01:45:46,980 --> 01:45:48,720 every single path is to be 1405 01:45:48,720 --> 01:45:53,190 considered. While the calculation in principle sums over all the 1406 01:45:53,190 --> 01:45:56,610 infinite possible trajectories. The physicist doing the 1407 01:45:56,610 --> 01:46:00,690 calculation doesn't actually examine each and every possible 1408 01:46:00,690 --> 01:46:04,920 trajectory, yet, the physicist can drive a smooth continuous path. 1409 01:46:05,340 --> 01:46:08,880 spacetime represents a single frame of reference of some 1410 01:46:08,910 --> 01:46:12,840 observer perceiving distinct physical properties without 1411 01:46:12,840 --> 01:46:17,130 necessarily accounting for every possible spacetime coordinate 1412 01:46:17,130 --> 01:46:21,570 configuration. individually. This accounts for action at a distance, 1413 01:46:22,050 --> 01:46:26,700 it only appears mysterious from a single frame of reference. action 1414 01:46:26,700 --> 01:46:30,870 at a distance does not violate the speed of light. Because nothing is 1415 01:46:30,870 --> 01:46:35,820 traveling through space relative to three dimensional time, spatial 1416 01:46:35,820 --> 01:46:39,690 coordinates can be extremely far apart, while the corresponding 1417 01:46:39,690 --> 01:46:44,640 template coordinates are extremely close, or vice versa. This unique 1418 01:46:44,640 --> 01:46:48,750 configuration of special to temporal coordinates not only 1419 01:46:48,750 --> 01:46:54,030 generates new forms of symmetry, but also raises issues of parallel 1420 01:46:54,030 --> 01:46:54,990 universes. 1421 01:46:56,280 --> 01:47:00,480 The best theory we have for what made our universe predicts that it 1422 01:47:00,480 --> 01:47:05,160 isn't just really, really big, but actually infinite, going on 1423 01:47:05,160 --> 01:47:11,190 literally forever in all directions. If I pick three rocks 1424 01:47:11,190 --> 01:47:15,990 here, orange, white, and black, I look around, oh, there is another 1425 01:47:15,990 --> 01:47:19,230 one orange, white and black. If I take a larger pattern, that I have 1426 01:47:19,230 --> 01:47:22,860 to look a lot harder to find the copy of it. Here it repeats. 1427 01:47:24,030 --> 01:47:27,480 When I say all patterns of atoms repeat, I really mean all 1428 01:47:27,480 --> 01:47:31,200 patterns, even the pattern of atoms that makes up neat Max 1429 01:47:31,200 --> 01:47:35,310 Tegmark, if I go far enough away, there's gonna be another exact 1430 01:47:35,310 --> 01:47:39,840 copy of me who will not just look like me, but feel like is me. I 1431 01:47:39,840 --> 01:47:45,030 came up with one with a million trillion trillion zeros after it. 1432 01:47:45,210 --> 01:47:50,370 And that's a huge number. But compared to infinity, which is the 1433 01:47:50,370 --> 01:47:54,090 truth size of space, I think it's just in our backyard, 1434 01:47:54,990 --> 01:47:58,770 three dimensional space and three dimensional time can be configured 1435 01:47:58,770 --> 01:48:03,750 together through two separate four vectors, where one for vector 1436 01:48:03,780 --> 01:48:07,980 coincides with three dimensions of space and one dimension of time. 1437 01:48:08,220 --> 01:48:11,640 And the other four vector corresponds with three dimensions 1438 01:48:11,640 --> 01:48:15,840 of time and one dimension of space. The single dimension of 1439 01:48:15,840 --> 01:48:20,610 space and or the single dimension of time are actually three 1440 01:48:20,610 --> 01:48:24,810 dimensional vectors. However, they can be treated as single 1441 01:48:24,810 --> 01:48:29,160 dimensions, when expressed cross symmetrically for the convenience 1442 01:48:29,160 --> 01:48:33,630 of using the time tested for vector form. This way, temporal 1443 01:48:33,630 --> 01:48:36,870 coordinates and spatial coordinates are still invariant, 1444 01:48:36,990 --> 01:48:41,760 but with more degrees of freedom. symmetry plays an important role 1445 01:48:41,760 --> 01:48:46,110 in the mathematics of physics, for every left there must be a right 1446 01:48:46,650 --> 01:48:51,240 for every up there must be a down for every front there must be a 1447 01:48:51,240 --> 01:48:55,440 back and so on. In quantum mechanics, the principal 1448 01:48:55,440 --> 01:49:00,840 symmetries that support physical law involve charge parity, and 1449 01:49:00,840 --> 01:49:05,610 time, charge conjugation symmetry corresponds with reversing 1450 01:49:05,640 --> 01:49:10,230 electric charge and all the internal quantum numbers, parody 1451 01:49:10,230 --> 01:49:14,880 symmetry correspondences space inversion, reversal or flipping 1452 01:49:14,880 --> 01:49:18,780 spatial coordinates. And time symmetry corresponds with 1453 01:49:18,780 --> 01:49:25,860 reversing time derivatives, gather charge parity, and time form the 1454 01:49:25,860 --> 01:49:32,310 symmetry physical laws are built around. But then, there was the Wu 1455 01:49:32,310 --> 01:49:39,510 experiment. And then two unusual decays were uncovered. For charge 1456 01:49:39,600 --> 01:49:47,430 strange maze. In 1956 is this is changing Wu, conducting an 1457 01:49:47,430 --> 01:49:52,350 experiment on behalf of physicists Seung Tao Li and Chen ying yang to 1458 01:49:52,350 --> 01:49:56,130 ress. The relationship of parody symmetry with physical law, 1459 01:49:56,370 --> 01:50:00,780 radioactive cobalt 60 was cooled by liquid heat helium two 1460 01:50:00,780 --> 01:50:04,650 temperatures near absolute zero, and aligned with a uniform 1461 01:50:04,650 --> 01:50:08,940 magnetic field, the thermal vibrations of cobalt 60 were 1462 01:50:08,940 --> 01:50:13,680 reduced enough to study its beta decay process nearly one emission 1463 01:50:13,710 --> 01:50:18,300 at a time, we found that when the cobalt 60 nuclei spins were 1464 01:50:18,300 --> 01:50:22,410 polarized with the uniform magnetic field significantly more 1465 01:50:22,410 --> 01:50:27,510 electrons radiated in the opposite direction with opposite spin. In 1466 01:50:27,510 --> 01:50:30,780 other words, there were significantly more electrons with 1467 01:50:30,780 --> 01:50:34,500 left handed spin than electrons with right handed spin. 1468 01:50:35,010 --> 01:50:38,070 The thing that's interesting is that if you measure the spin, 1469 01:50:38,130 --> 01:50:41,610 electrons are spinning as they come out. If you measure the spin, 1470 01:50:41,610 --> 01:50:45,990 you find out that they're spinning to the left. That is a definite 1471 01:50:45,990 --> 01:50:48,240 significance that the electron when it comes out of the 1472 01:50:48,240 --> 01:50:51,870 disintegration is turning this way. So all we're saying is that 1473 01:50:51,870 --> 01:50:55,740 the right and left symmetry law is not bad, but I have to mention 1474 01:50:55,740 --> 01:50:57,930 that conservation of parity because you may have read in the 1475 01:50:57,930 --> 01:51:02,070 papers, the law of conservation of parity has been proved wrong, it 1476 01:51:02,070 --> 01:51:04,980 should have been written for the much easier to understand the 1477 01:51:04,980 --> 01:51:07,530 principle that you can't distinguish right and left has 1478 01:51:07,530 --> 01:51:08,400 been proved wrong. 1479 01:51:09,690 --> 01:51:13,890 Neutral can particles cannot be their own antiparticles. Because 1480 01:51:13,890 --> 01:51:17,310 of their strange quark makeup. There are two types of neutral k 1481 01:51:17,310 --> 01:51:21,750 ions that oscillate between weak eigenstates of the neutral chaos. 1482 01:51:21,960 --> 01:51:26,580 It was originally assumed that CP symmetry was a condition for 1483 01:51:26,580 --> 01:51:30,870 neutral particle oscillations, it was noticed that one of the week 1484 01:51:30,900 --> 01:51:35,130 eigenstates of the K on decayed into two pions, where the other 1485 01:51:35,130 --> 01:51:39,390 week eigenstates of the K on decayed into three, the less 1486 01:51:39,390 --> 01:51:44,220 massive k ions that decayed faster were labeled k short, the more 1487 01:51:44,220 --> 01:51:48,330 massive k ions that the kids slower were labeled k long 1488 01:51:49,440 --> 01:51:52,530 nootropics Qian is is an interesting particle. And it's the 1489 01:51:52,530 --> 01:51:56,340 special one that's long lived means it lives, 100 millionth of a 1490 01:51:56,340 --> 01:51:59,940 second, that's a long time, this particle is neither matter anti 1491 01:51:59,940 --> 01:52:03,750 matter, it's some mixture of the two, it's both at the same time. 1492 01:52:03,930 --> 01:52:08,490 So this neutral Qian decays to a particle called the pion it's a 1493 01:52:08,490 --> 01:52:12,210 case to the positron, and another particle called the neutrino, it 1494 01:52:12,210 --> 01:52:17,490 also decays the mirror way. So if you look at our anti matter mirror 1495 01:52:17,490 --> 01:52:20,880 again, you see that all the particles have flipped, we got one 1496 01:52:20,880 --> 01:52:24,600 version and the anti matter version of it. And we can ask how 1497 01:52:24,600 --> 01:52:29,250 often does our friend decay on decay this way, often this decay 1498 01:52:29,250 --> 01:52:34,170 that way. So by a tiny, tiny amount, one of these versions of 1499 01:52:34,170 --> 01:52:38,580 the case favor, that is an example of what we call an asymmetry, 1500 01:52:38,760 --> 01:52:44,640 something that's different for the anti matter version, compared to 1501 01:52:44,640 --> 01:52:49,320 the matter version. It's a symmetry is this way, minus that 1502 01:52:49,320 --> 01:52:57,540 way, divided by the song, and it's not 0.033 with this measurement, 1503 01:52:57,540 --> 01:53:00,630 and actually some other measurements, we saw for the first 1504 01:53:00,630 --> 01:53:02,850 time, the matter and matter were different. 1505 01:53:03,629 --> 01:53:07,739 While studying the properties of K long Particle Beam sent through 1506 01:53:07,739 --> 01:53:11,579 pieces of matter. Physicists at Berkeley National Laboratory 1507 01:53:11,609 --> 01:53:16,889 reported finding excess k short particles in the regenerated k on 1508 01:53:16,889 --> 01:53:22,259 beam in 1964. while attempting to verify the access k short 1509 01:53:22,259 --> 01:53:27,329 regeneration, physicist James Cronin and Val Fitch at Berkeley 1510 01:53:27,329 --> 01:53:32,549 National Laboratory found evidence of CP violation in neutral k on 1511 01:53:32,549 --> 01:53:37,499 oscillations. When a beam of neutral k ions travels, the K 1512 01:53:37,499 --> 01:53:41,789 short particles decay first leaving behind a beam of just k 1513 01:53:41,789 --> 01:53:46,049 long particles. When this beam is shot through matter, quantum 1514 01:53:46,049 --> 01:53:51,959 coherence between K short and K long is lost. And the beam emerges 1515 01:53:51,989 --> 01:53:55,919 out of the other side with K short particles regenerated as if they 1516 01:53:55,919 --> 01:54:01,619 never decayed. The beam re-emerges consisting of both k short and K 1517 01:54:01,619 --> 01:54:06,449 long particles, the maze on oscillations were later observed 1518 01:54:06,449 --> 01:54:11,099 demonstrating CP violation similar to neutral k on oscillations. 1519 01:54:11,640 --> 01:54:19,530 I want to tell you a little bit about how we measure a matter 1520 01:54:19,530 --> 01:54:24,600 antimatter asymmetry a particle like the B mass on an exponential 1521 01:54:24,600 --> 01:54:30,180 decay. So if we look at the decays as a function of time, in this 1522 01:54:30,210 --> 01:54:35,820 great unit picosecond, you get this curve, a matter b mazon can 1523 01:54:35,820 --> 01:54:42,000 just change instantly into an antibiotic you just have it's due 1524 01:54:42,000 --> 01:54:47,160 to the weak force, but it just likewise the anti matter be mass 1525 01:54:47,160 --> 01:54:50,940 on and all of a sudden just change into a matter version and you go 1526 01:54:50,940 --> 01:54:53,430 back and forth. It's not completely random. There's some 1527 01:54:53,430 --> 01:54:58,470 regularity to how it occurs. Sometimes you could have matter 1528 01:54:58,500 --> 01:55:02,460 the mess on decay into a combination of particles, that's 1529 01:55:02,460 --> 01:55:06,930 neither matter anti matter. So the fee can decay into this side and a 1530 01:55:06,930 --> 01:55:10,680 neutral pion instead of the long lived one, this is the shortlist. 1531 01:55:11,100 --> 01:55:15,570 The key is again, it's the whole combination is neither matter 1532 01:55:15,570 --> 01:55:20,400 antimatter. And the other thing that can happen is that matter be 1533 01:55:20,400 --> 01:55:25,260 measurement could first change into the ADDIE manner version, and 1534 01:55:25,260 --> 01:55:30,600 then that guy for decay into the same set of particles, if that 1535 01:55:30,600 --> 01:55:35,550 happens, there are two paths. And when you have two paths, that 1536 01:55:35,550 --> 01:55:39,600 something can occur, you can get a phenomenon called interference. 1537 01:55:41,160 --> 01:55:45,720 Matter and anti matter are the same, then it doesn't we don't 1538 01:55:45,720 --> 01:55:50,850 care, they there's no way they can interfere with each other. But if 1539 01:55:50,850 --> 01:55:54,480 matter and anti matter are different, then the two paths will 1540 01:55:54,480 --> 01:55:58,320 interfere to have fewer decay. So that would be the red curve. So 1541 01:55:58,320 --> 01:56:01,980 instead of the exponential decay, you get a non exponential decay 1542 01:56:02,370 --> 01:56:07,380 with fewer decay. Also, if you flip this whole process in our 1543 01:56:07,380 --> 01:56:12,570 anti matter mirror, and you start with anti matter, and the paths 1544 01:56:12,570 --> 01:56:17,760 differ, then you get more decays than in the exponential case. So 1545 01:56:17,760 --> 01:56:21,450 we have the bright region and the dark region. And the size of the 1546 01:56:21,450 --> 01:56:25,080 difference is our asymmetry. It's the size of the difference between 1547 01:56:25,080 --> 01:56:29,070 matter and anti matter. So that's what we're looking for. This is 1548 01:56:29,070 --> 01:56:33,660 what we saw. Here's the case where we start with at matter. And we 1549 01:56:33,990 --> 01:56:37,950 have this number of decays as a function of time. But when we 1550 01:56:37,950 --> 01:56:42,720 start with matter, when it's when we start with a matter, we have 1551 01:56:42,780 --> 01:56:45,060 this pattern. And you can see very clearly 1552 01:56:45,060 --> 01:56:46,440 the difference in the 1553 01:56:46,770 --> 01:56:51,180 exponential case would be exactly in between the two will subtract 1554 01:56:51,540 --> 01:56:55,950 the blue minus the red, and divide by their song, and this is the 1555 01:56:55,950 --> 01:56:58,560 curve you get. So here's our equation, same equation, the 1556 01:56:58,560 --> 01:57:04,590 number of times when you start as a B bar, the anti matter version 1557 01:57:04,650 --> 01:57:07,590 versus the number of times when you start as a matter of version. 1558 01:57:07,980 --> 01:57:10,980 Here's that difference over the sun. And you can see very clearly 1559 01:57:11,610 --> 01:57:16,680 that asymmetry, we find that asymmetry is point six nine, with 1560 01:57:16,680 --> 01:57:20,880 an uncertainty of only point oh three, it took us 10 years almost 1561 01:57:21,210 --> 01:57:24,240 to measure this. Well. It's extremely well measured. And you 1562 01:57:24,240 --> 01:57:29,520 can see it does a great quite well with the predictions from the ctm 1563 01:57:29,520 --> 01:57:29,790 up 1564 01:57:30,780 --> 01:57:35,760 in 2012. The bbar experiment at slac National Accelerator 1565 01:57:35,760 --> 01:57:40,530 Laboratory announced never before seen time reversal violations and 1566 01:57:40,530 --> 01:57:45,480 neutral BMA zones. Even though CP violation and T violations have 1567 01:57:45,480 --> 01:57:50,790 equivalence. Measuring t violating parameters. In the time evolution 1568 01:57:50,820 --> 01:57:55,860 of neutral B maisons represented the first direct observation of T 1569 01:57:55,860 --> 01:57:59,760 violation through initial and final states they can only be 1570 01:57:59,760 --> 01:58:04,110 connected by time reversible transformations. The end results 1571 01:58:04,110 --> 01:58:08,220 were that the reverse process occurred at a higher rate than the 1572 01:58:08,220 --> 01:58:12,750 forward process representing a violation in the reversibility of 1573 01:58:12,750 --> 01:58:16,170 time symmetry under CPT symmetry rules. 1574 01:58:17,220 --> 01:58:20,310 This work was done using neutral beam masons at slack you should 1575 01:58:20,310 --> 01:58:23,100 know that these neutral B masons will oscillate between their two 1576 01:58:23,100 --> 01:58:29,100 different flavors, so dma's on anti B. B Mays on anti b we cannot 1577 01:58:29,100 --> 01:58:32,520 see all these maisons directly, we can see what's left behind when 1578 01:58:32,520 --> 01:58:36,270 they decay. So, the BMA is on gives us a positron plus some 1579 01:58:36,270 --> 01:58:40,470 stuff anti bees give us electrons and stuff. But there are some 1580 01:58:40,470 --> 01:58:44,160 decays that produce different things k ions and j slash sy 1581 01:58:44,160 --> 01:58:49,200 particles, such decays must come from states that are mixed B's 1582 01:58:49,230 --> 01:58:53,250 mixed with anti B's mixed states are odd, but describe the beam is 1583 01:58:53,250 --> 01:58:56,010 on just fine. So we have to accept that they're equally physical. 1584 01:58:56,310 --> 01:58:59,880 Thus, we can label the starting state B anti B or B plus and B 1585 01:58:59,880 --> 01:59:03,810 minus but as the brilliant Mary Carmen banyuls has shown such a 1586 01:59:03,810 --> 01:59:08,550 conversion can be affected by b oscillations and therefore depend 1587 01:59:08,550 --> 01:59:12,600 on the time. So a forward conversion will not always happen 1588 01:59:12,630 --> 01:59:16,710 as much as a backward conversion will then look for two states the 1589 01:59:16,710 --> 01:59:19,860 decade the bees were at first there was just one b minus decay 1590 01:59:19,860 --> 01:59:23,730 that was followed by BDK. Then they compared with decay is that 1591 01:59:23,730 --> 01:59:28,110 involved a B first than B minus. They saw there that one of these 1592 01:59:28,110 --> 01:59:32,880 processes happen more frequently. This is the T violation. The next 1593 01:59:32,880 --> 01:59:37,140 did the same thing for B and A B plus and for anti BD cases well, 1594 01:59:37,410 --> 01:59:39,990 and they saw the same thing. What does this mean? 1595 01:59:41,340 --> 01:59:46,530 However, three dimensional time and CPT symmetry work remarkably 1596 01:59:46,530 --> 01:59:51,510 well together. In fact, the very concept of cross conjugation was 1597 01:59:51,510 --> 01:59:55,950 born out of the study of CP violation in beta decay and 1598 01:59:55,950 --> 01:59:57,840 spontaneous symmetry breaking. 1599 01:59:58,710 --> 02:00:00,330 One pound that That's 1600 02:00:00,360 --> 02:00:05,040 less than right is wrong. The left and right symmetry is wrong an 1601 02:00:05,040 --> 02:00:06,210 important question come. 1602 02:00:07,290 --> 02:00:08,250 If I make 1603 02:00:08,370 --> 02:00:11,130 if I look at this at this integration, but with anti modern 1604 02:00:11,130 --> 02:00:14,610 anti Lutheran goes into an anti proton plus an anti electron, 1605 02:00:15,960 --> 02:00:20,340 positron plus a neutrino, the question is, is the gap matter 1606 02:00:20,610 --> 02:00:23,220 behave like the matter in the sense that it comes out of left 1607 02:00:23,220 --> 02:00:27,960 hand thread, or does behave the other way. And it turns out, we 1608 02:00:27,960 --> 02:00:32,610 think up until a few months ago, that it behaves the opposite way, 1609 02:00:32,670 --> 02:00:38,160 and that the anti matter behaves like it goes to the right where a 1610 02:00:38,160 --> 02:00:41,820 matter goes to the left, there are some very remarkable things, which 1611 02:00:41,820 --> 02:00:45,600 are the near symmetries the remarkable feature of this effect 1612 02:00:45,630 --> 02:00:48,060 that we can distinguish right and left is that we can distinguish 1613 02:00:48,060 --> 02:00:51,600 right and left only with a very weak effect. And with this beta 1614 02:00:51,600 --> 02:00:57,330 disintegration, what it means that nature is 99.99 indistinguishable 1615 02:00:57,330 --> 02:01:01,170 right from left. But that that's just one little piece. One little 1616 02:01:01,170 --> 02:01:05,070 characteristic phenomena, which is completely different in the sense 1617 02:01:05,070 --> 02:01:09,510 that it's absolutely lopsided is a mystery that no one has a 1618 02:01:09,510 --> 02:01:10,890 slightest idea about 1619 02:01:10,919 --> 02:01:16,109 yet. The mechanism for generating time evolution based on the 1620 02:01:16,109 --> 02:01:21,269 asymmetry between varying rates of the passage of time can be used to 1621 02:01:21,269 --> 02:01:25,979 account for all three examples of symmetry violation. These 1622 02:01:26,009 --> 02:01:30,659 asymmetries revealed themselves to be artifacts of limiting physics 1623 02:01:30,659 --> 02:01:35,429 to a single time dimension. When using three time dimensions. These 1624 02:01:35,429 --> 02:01:39,089 apparent asymmetries can be attributed to the inversely 1625 02:01:39,089 --> 02:01:42,959 proportional relationship between the passage of time and linear 1626 02:01:42,959 --> 02:01:48,089 time. The neutral beam liaison is composed of a down and anti bottom 1627 02:01:48,089 --> 02:01:52,889 CT configuration, and the anti neutral be mais en is composed of 1628 02:01:52,889 --> 02:01:57,179 an anti down and bottom cork configuration. The neutral B mais 1629 02:01:57,179 --> 02:02:02,189 on oscillates between B plus and B minus states where each correspond 1630 02:02:02,189 --> 02:02:06,569 with the decay mode studied in the bar bar experiment. Since the 1631 02:02:06,569 --> 02:02:10,769 chaos appears in the decay modes of the neutral be amazed on the 1632 02:02:10,769 --> 02:02:14,819 difference in decay times between K long and K short plays a 1633 02:02:14,819 --> 02:02:19,559 significant role in the time reversal violation measured in 1634 02:02:19,559 --> 02:02:25,289 neutral BMA zones. The interplay between particles, anti particles 1635 02:02:25,319 --> 02:02:28,859 and the difference in mass between constituents that make up the 1636 02:02:28,859 --> 02:02:33,809 Masons are also significant for how entangled neutral be maisons 1637 02:02:33,869 --> 02:02:38,429 oscillate, that be mais on particle anti particle labeling is 1638 02:02:38,429 --> 02:02:42,359 not consistent with the isomorphic relationship between temporal 1639 02:02:42,359 --> 02:02:46,319 mechanics in quantum mechanics. Since the bottom cork is 1640 02:02:46,319 --> 02:02:50,039 significantly more massive than the up and down quarks. The 1641 02:02:50,039 --> 02:02:54,959 combination with an anti bottom cork could be labeled the anti B 1642 02:02:54,959 --> 02:02:59,369 Mays on and the combination with a bottom cork could be labeled the 1643 02:02:59,369 --> 02:03:04,199 beam liaison. Unfortunately, we find it labeled the other way, 1644 02:03:04,379 --> 02:03:08,219 which makes for slight confusion when applying the time loop to the 1645 02:03:08,219 --> 02:03:12,839 neutral bead maze on oscillation. Regardless, taking this into 1646 02:03:12,839 --> 02:03:17,549 consideration while looking at the 5050 equation, the inequality 1647 02:03:17,549 --> 02:03:22,079 relative to the reverse cycle is shorter than inequality relative 1648 02:03:22,079 --> 02:03:27,149 to the forward cycle. The smaller inequality undergoes a slower rate 1649 02:03:27,179 --> 02:03:30,299 of the passage of time and corresponds with the reverse 1650 02:03:30,299 --> 02:03:35,459 cycle. A careful comparison of the bbar experiment with the time loop 1651 02:03:35,459 --> 02:03:39,269 mathematics and the generator for the evolution of time is 1652 02:03:39,269 --> 02:03:43,859 remarkably the same. We can make a one to one correspondence between 1653 02:03:43,859 --> 02:03:47,519 the eight quadrants of our time loop with the combined for 1654 02:03:47,519 --> 02:03:52,289 independent reference transitions and for associated time conjugates 1655 02:03:52,319 --> 02:03:56,189 of the bbar experiment, the experiment parameterize is the 1656 02:03:56,189 --> 02:04:00,209 particle anti particle pair oscillations between eigenstates 1657 02:04:00,209 --> 02:04:04,439 of the neutral B maze on which just so happens to be an example 1658 02:04:04,469 --> 02:04:09,509 of the 5050 equation applied to particle anti particle conjugates. 1659 02:04:09,899 --> 02:04:14,189 Neutral particle oscillations, as with neutral crowns, and neutral 1660 02:04:14,189 --> 02:04:19,139 be masons represent examples of how the mechanism of our time loop 1661 02:04:19,139 --> 02:04:24,089 generates the evolution of time through identity crises. Comparing 1662 02:04:24,089 --> 02:04:27,569 the CP violation of neutral k ions with our treatment of the 1663 02:04:27,569 --> 02:04:31,799 Hamiltonian, we can see we are dealing with identity crises. 1664 02:04:32,099 --> 02:04:36,239 Originally, when it was thought neutral chaos oscillations should 1665 02:04:36,239 --> 02:04:41,219 maintain CP symmetry, it was assumed the K short equals K sub 1666 02:04:41,219 --> 02:04:46,709 one and K long equals K sub two. Now that CP violation has been 1667 02:04:46,709 --> 02:04:51,719 detected with neutral k ions, it is assumed that case short equals 1668 02:04:51,719 --> 02:04:56,999 case of one plus a little case of two and K long equals case of two 1669 02:04:56,999 --> 02:05:01,199 plus a little case of one on the other hand, And if we assume we 1670 02:05:01,199 --> 02:05:05,009 are dealing with identity crises between K long and K short, the 1671 02:05:05,009 --> 02:05:10,079 basic exists equations offer a simple solution. Let the original 1672 02:05:10,079 --> 02:05:15,119 CP symmetric equality between K long and K short correspond with 1673 02:05:15,119 --> 02:05:19,979 the period prior to the K on beam passing through matter. Let the CP 1674 02:05:19,979 --> 02:05:24,839 violation equality correspond with the period after passing through 1675 02:05:24,839 --> 02:05:29,939 matter. The identity crises between K long and K short occurs 1676 02:05:29,969 --> 02:05:34,529 at the moment the K on beam is passing through matter. Relative 1677 02:05:34,529 --> 02:05:39,389 to position. Since k long is more massive than K short, the change 1678 02:05:39,389 --> 02:05:44,549 in position for K long is shorter relative to K short and since k 1679 02:05:44,549 --> 02:05:49,139 short is less massive than K long, the change in position for K short 1680 02:05:49,169 --> 02:05:54,929 is longer relative to K long. Yet relative to momentum. Since k long 1681 02:05:54,959 --> 02:05:59,399 is more massive than K short, the passage of time for K long is 1682 02:05:59,399 --> 02:06:03,599 shorter relative to K short and since k short is less massive 1683 02:06:03,599 --> 02:06:07,979 thing came on. The passage of time for K short is shorter relative to 1684 02:06:07,979 --> 02:06:12,929 cam long. This is why after the K on beam passes through matter at 1685 02:06:12,929 --> 02:06:17,339 varying rates of the passage of time, identity crises allow k 1686 02:06:17,339 --> 02:06:21,599 short decays to occur long after expected over an extended period 1687 02:06:21,599 --> 02:06:26,189 of time. This can be expressed in the following way. The CP 1688 02:06:26,189 --> 02:06:31,109 violation found in neutral k on mixing is a precise example of the 1689 02:06:31,109 --> 02:06:34,859 inverse proportional relationship between the passage of time and 1690 02:06:34,859 --> 02:06:38,879 linear time and how it corresponds with the temporal mechanical 1691 02:06:38,879 --> 02:06:43,139 expression for mass. In the experiment, the forward moving 1692 02:06:43,139 --> 02:06:48,119 electrons and the nuclei of the cobalt 60 are both polarized with 1693 02:06:48,119 --> 02:06:52,349 the magnetic field. The reverse moving positrons, which are 1694 02:06:52,349 --> 02:06:56,699 equivalent to forward moving electrons are slightly behind in 1695 02:06:56,699 --> 02:07:00,899 the linear time relative to the forward moving electrons. The 1696 02:07:00,899 --> 02:07:05,189 probabilities of the forward moving electrons collapse first 1697 02:07:05,189 --> 02:07:09,809 into Bose Einstein condense states, forcing the probabilities 1698 02:07:09,839 --> 02:07:14,399 of the reverse moving positrons to collapse into radiation states. 1699 02:07:15,059 --> 02:07:19,469 The inclusion principle allows the forward moving electrons to form 1700 02:07:19,469 --> 02:07:23,939 Cooper pairs stable with the cobalt 60 nuclei. And the 1701 02:07:23,939 --> 02:07:28,529 exclusion principle forces the reverse moving positrons away as 1702 02:07:28,529 --> 02:07:32,669 radiation. This process is reversible within the three 1703 02:07:32,669 --> 02:07:37,169 dimensional timeline. Similar to the refrigeration cycle, the 1704 02:07:37,169 --> 02:07:40,709 magnetic field maintains the displacement in the passage of 1705 02:07:40,709 --> 02:07:44,579 time between the forward moving electrons and the reverse moving 1706 02:07:44,579 --> 02:07:49,559 positrons, allowing linear time to pass through at a constant rate in 1707 02:07:49,559 --> 02:07:54,539 a constant direction. This Magneto caloric effect keeps the rate of 1708 02:07:54,539 --> 02:07:58,919 the passage of time slow for the forward moving electrons and more 1709 02:07:58,919 --> 02:08:03,329 rapid for the reverse moving positrons. This acts like pressure 1710 02:08:03,329 --> 02:08:07,139 keeping the forward moving electrons bound and Cooper pairs 1711 02:08:07,199 --> 02:08:11,609 on the upper section relative to the magnetic field and forcing the 1712 02:08:11,609 --> 02:08:15,179 reverse moving positrons to radiate away from the bottom 1713 02:08:15,179 --> 02:08:20,159 section relative to the magnetic field. In this state, the passage 1714 02:08:20,159 --> 02:08:23,909 of time relative to the Bose Einstein condensed forward moving 1715 02:08:23,909 --> 02:08:27,749 electrons is slower than the passage of time relative to the 1716 02:08:27,749 --> 02:08:32,399 verse moving positrons. Therefore, there are significantly fewer 1717 02:08:32,429 --> 02:08:36,479 emissions in the polarized direction. Though the forward 1718 02:08:36,479 --> 02:08:40,859 moving electrons are in a forward moving frame of reference relative 1719 02:08:40,859 --> 02:08:44,879 to the reverse moving positrons. The positrons continue going 1720 02:08:44,879 --> 02:08:49,049 backwards in time faster than the forward moving electrons go 1721 02:08:49,049 --> 02:08:53,219 forward in time. Therefore, there are significantly more emissions 1722 02:08:53,249 --> 02:08:59,009 opposite the polarized direction. Since CP violation and T violation 1723 02:08:59,039 --> 02:09:03,989 of equivalence, since mass can be shown to be composed of temporal 1724 02:09:03,989 --> 02:09:08,309 components, and since charge conjugation and parody can be 1725 02:09:08,309 --> 02:09:13,079 projected into three dimensional time as scalars, we can apply a 1726 02:09:13,079 --> 02:09:17,849 four vector model generating CPT m symmetry. 1727 02:09:20,370 --> 02:09:24,870 The time reversal violation is actually an example of temporal 1728 02:09:24,900 --> 02:09:30,300 entropy. The four variations of time reversal, two positive and 1729 02:09:30,300 --> 02:09:34,680 two negative are the two cross conjugates that correspond with 1730 02:09:34,680 --> 02:09:39,060 the new double delta function. quantum electrodynamics is a 1731 02:09:39,060 --> 02:09:42,330 complete description of the interaction between light and 1732 02:09:42,330 --> 02:09:46,110 matter where the mathematics of electricity and magnetism 1733 02:09:46,260 --> 02:09:50,610 incorporate Einstein's special theory of relativity and the idea 1734 02:09:50,610 --> 02:09:54,840 of quantum particles. Quantum chromodynamics is a complete 1735 02:09:54,840 --> 02:09:59,160 description of the interaction between quarks and gluons of the 1736 02:09:59,160 --> 02:10:02,610 nuclear structure. force that holds the nucleus of atoms 1737 02:10:02,610 --> 02:10:07,050 together. These two theories are examples of quantum field 1738 02:10:07,050 --> 02:10:11,280 theories, where the theoretical structure treats subatomic 1739 02:10:11,280 --> 02:10:17,310 particles as excitations of some underlying physical field. Each of 1740 02:10:17,310 --> 02:10:21,690 the particles on the left represents excitations in their 1741 02:10:21,690 --> 02:10:26,970 corresponding fields. The upper half consists of quarks which make 1742 02:10:26,970 --> 02:10:32,220 up hadron like protons and neutrons. The lower half consist 1743 02:10:32,220 --> 02:10:36,510 of leptons, which are electrons and neutrinos. Electrons 1744 02:10:36,510 --> 02:10:40,920 correspond with electromagnetism, and neutrinos are part of weak 1745 02:10:40,920 --> 02:10:45,600 interactions. All of these interactions are intermediated by 1746 02:10:45,600 --> 02:10:50,040 the exchange particles, bows ons, which carry forces between 1747 02:10:50,040 --> 02:10:54,150 particles, the strong force and electromagnetic force could not 1748 02:10:54,150 --> 02:10:58,620 interact without the nuclear weak force, which exchanges forces 1749 02:10:58,620 --> 02:11:03,930 through the w minus w plus and neutral Z boson. These two 1750 02:11:03,930 --> 02:11:08,190 distinct and separate fields, quantum electrodynamics and 1751 02:11:08,190 --> 02:11:13,260 Quantum chromodynamics are able to interact through gauge symmetries 1752 02:11:13,290 --> 02:11:16,950 that allow transformations between exchange particles, 1753 02:11:17,880 --> 02:11:25,350 this would be the Dirac equation. If the particle had no mass, what 1754 02:11:25,350 --> 02:11:27,930 do you put on the right hand side, if you want to have a mass for the 1755 02:11:27,930 --> 02:11:33,300 field? Well, there was a fourth Dirac matrix called beta, you put 1756 02:11:33,300 --> 02:11:42,030 the mass times beta times sine, the electron could be moving along 1757 02:11:42,090 --> 02:11:46,470 with a momentum. A momentum means as a gradient of the field sigh, I 1758 02:11:46,470 --> 02:11:50,670 mean the plane wave, but that's not so important. And the spin can 1759 02:11:50,670 --> 02:11:54,000 either be along the direction of motion or opposite of the 1760 02:11:54,000 --> 02:11:58,290 direction of motion. Those two components, we can think of that 1761 02:11:58,290 --> 02:12:01,320 as the left handed components of the direct field and the right 1762 02:12:01,320 --> 02:12:06,810 handed components, you might think that the right thing to put here 1763 02:12:07,020 --> 02:12:10,470 is something involving the right hand field. But it turns out this 1764 02:12:10,470 --> 02:12:14,220 bait this matrix beta, interchanges right hand and left 1765 02:12:14,220 --> 02:12:22,980 hand. So the mass term over here corresponds to a coupling between 1766 02:12:22,980 --> 02:12:29,430 right handed and left handed. And likewise is the equation for the 1767 02:12:29,460 --> 02:12:33,000 left handed control. In other words, it's a funny equation, in 1768 02:12:33,000 --> 02:12:37,440 which the right handed and left handed components are completely 1769 02:12:37,440 --> 02:12:44,280 independent. If the mass is zero, but the mass mixes them up, you 1770 02:12:44,280 --> 02:12:49,260 can think of a direct electron as one which as it moves along, 1771 02:12:49,650 --> 02:12:56,490 oscillates between left and right. The oscillation is the mass mass 1772 02:12:56,490 --> 02:13:00,570 term couples together, left handed and right handed components. 1773 02:13:01,470 --> 02:13:06,180 gauge symmetry can easily be trans delineated into a temporal 1774 02:13:06,180 --> 02:13:11,040 mechanical expression in a similar way to how it is used in quantum 1775 02:13:11,040 --> 02:13:15,930 field theories. And as a solution to the doublet triplets splitting 1776 02:13:15,930 --> 02:13:16,530 problem. 1777 02:13:17,159 --> 02:13:22,019 Charge conservation would not permit a mixing of left and right 1778 02:13:22,019 --> 02:13:29,699 like this. If If only the left handed electron were charged, 1779 02:13:30,599 --> 02:13:33,689 because both of them carry the same charge, you can go back and 1780 02:13:33,689 --> 02:13:36,809 forth from left to right without violating charge conservation, you 1781 02:13:36,809 --> 02:13:40,919 can think about this picture of saying a right handed left hand 1782 02:13:40,919 --> 02:13:46,859 side represents the propagation of a right handed particle, and the 1783 02:13:46,859 --> 02:13:50,669 right hand side represents the splitting into a left handed 1784 02:13:50,669 --> 02:13:57,449 particle. So a neutral particle breaks up into a left handed 1785 02:13:57,449 --> 02:14:01,049 particle which has charge and a right handed particle which has 1786 02:14:01,049 --> 02:14:04,859 the opposite charge. And the sacred say the same about this one 1787 02:14:04,859 --> 02:14:11,369 over here, left handed particle moves along and becomes a phi in a 1788 02:14:11,369 --> 02:14:14,489 right handed particle. So that's the way you can think about this. 1789 02:14:14,489 --> 02:14:19,289 It just describes a new kind of process in which left's and rights 1790 02:14:19,289 --> 02:14:25,349 can turn into each other, but only at the cost of emitting charged 1791 02:14:25,349 --> 02:14:27,539 particles to compensate the charge. 1792 02:14:27,930 --> 02:14:31,470 It is also understood that all of these particles game their 1793 02:14:31,470 --> 02:14:35,880 distinct rest mass through excitations in the Higgs field. 1794 02:14:37,050 --> 02:14:41,460 So the Higgs phenomena has another role. It gives the fermion 1795 02:14:42,449 --> 02:14:43,079 mass. 1796 02:14:43,860 --> 02:14:48,360 Now there are different fermions in our world is the electron muon, 1797 02:14:48,540 --> 02:14:52,260 here are the various quirks that only means that there are a 1798 02:14:52,260 --> 02:14:58,410 collection of different G's in the world. These G's are called yukawa 1799 02:14:58,410 --> 02:15:02,250 couplings. And this one For each kind of fermion, so there's a 1800 02:15:02,250 --> 02:15:06,090 whole spectrum of these different yukawa couplings that nobody 1801 02:15:06,090 --> 02:15:12,420 understands. But one thing that's interesting is you, and you say so 1802 02:15:12,420 --> 02:15:18,630 Okay, so all you've done is fit a collection of numbers to the 1803 02:15:18,630 --> 02:15:23,820 masses of the fermions. But now, you can hope for an experimental 1804 02:15:23,820 --> 02:15:29,850 confirmation of these numbers. Here's an interesting fact. All of 1805 02:15:29,850 --> 02:15:34,380 the particles that have seen in the standard model could not have 1806 02:15:34,380 --> 02:15:39,690 a mass if the one not for this shift, the shift of the Higgs 1807 02:15:39,690 --> 02:15:43,740 field, to say yet another way, all of the masses of the known 1808 02:15:43,740 --> 02:15:49,170 particles are such that they are proportional to this symmetry 1809 02:15:49,170 --> 02:15:50,880 breaking parameter F. 1810 02:15:51,810 --> 02:15:56,160 The recent discovery of the Higgs boson confirms the existence of 1811 02:15:56,160 --> 02:16:00,330 this background field that permeates the entire universe. 1812 02:16:00,960 --> 02:16:06,630 Returning to our plasma and phone on example, since positive t prime 1813 02:16:06,660 --> 02:16:10,950 is slightly ahead of negative t prime relative to the position 1814 02:16:10,950 --> 02:16:15,180 frame of reference that we know that negative t prime is slightly 1815 02:16:15,180 --> 02:16:19,800 more massive than positive t prime relative to the momentum frame of 1816 02:16:19,800 --> 02:16:25,080 reference. When the forward plasma is that positive t prime, the 1817 02:16:25,080 --> 02:16:30,240 reverse plasma is at negative t prime. However, there is a slight 1818 02:16:30,300 --> 02:16:34,740 offset to account for relative frames of reference. Since 1819 02:16:34,740 --> 02:16:38,400 positive t squared is slightly ahead of negative t squared, 1820 02:16:38,760 --> 02:16:42,720 relative to the position frame of reference, then we know that 1821 02:16:42,720 --> 02:16:46,530 negative t squared is slightly more massive than positive t 1822 02:16:46,530 --> 02:16:50,760 squared relative to the momentum frame of reference. When the 1823 02:16:50,760 --> 02:16:55,350 forward phone on is at positive t squared, the reverse phone on is 1824 02:16:55,350 --> 02:16:59,970 at negative t squared. However, there is a slight offset to 1825 02:16:59,970 --> 02:17:04,200 account for the relative frames of reference. In this example, the 1826 02:17:04,200 --> 02:17:08,190 phone on and plasma are entangled through their relationship within 1827 02:17:08,190 --> 02:17:11,460 the time loop. They're equivalences between the forward 1828 02:17:11,460 --> 02:17:15,300 time properties of the phone on and plasmon and equivalences 1829 02:17:15,300 --> 02:17:18,240 between the reverse time properties of the phone on in 1830 02:17:18,240 --> 02:17:23,010 plasma. If a certain state is detected, then the probability of 1831 02:17:23,010 --> 02:17:28,170 its cross conjugate will collapse cross magically, or vice versa. 1832 02:17:28,800 --> 02:17:36,030 Physicists like the Sanskrit tradition because the cosmologies 1833 02:17:36,030 --> 02:17:40,710 that were written down how the universe came about, apply pretty 1834 02:17:40,710 --> 02:17:45,150 much today. The story is told about Oppenheimer, Robert 1835 02:17:45,180 --> 02:17:51,180 Oppenheimer, when he saw the first last nuclear blast that alamogordo 1836 02:17:51,270 --> 02:17:56,190 He said, Well, I was thinking of a dance shock. The biggest thing 1837 02:17:56,190 --> 02:18:05,520 that you didn't think is ever expanding. Is all the universe and 1838 02:18:05,520 --> 02:18:10,110 all the many universes if we have parallel universes, all summed up 1839 02:18:10,110 --> 02:18:18,180 into one, unbounded, expanding everything. On the other scale, 1840 02:18:18,180 --> 02:18:22,530 the smallest thing you can think about is your center. It's not 1841 02:18:22,530 --> 02:18:28,050 your body. It's not your ego. It's not your self image. It's 1842 02:18:28,710 --> 02:18:33,960 essential inside of all of those and the equation of the VEDA is 1843 02:18:34,590 --> 02:18:38,940 Othman equals promise, that which is everything is that which is 1844 02:18:38,940 --> 02:18:45,060 your essence, the ether needs not to that which is the biggest is 1845 02:18:45,060 --> 02:18:48,720 not different from that which is the smallest Sanskrit is called 1846 02:18:48,720 --> 02:18:53,700 the return Bara Prague Eon. Read Tom, is where we get our word, 1847 02:18:53,700 --> 02:18:59,640 right. This is right, this is a right angle. That all goes back to 1848 02:18:59,640 --> 02:19:04,050 the Sanskrit idea that which is perfect. And everything in the 1849 02:19:04,050 --> 02:19:09,780 universe, everything is mad, chest is imperfect. So the dynamic of 1850 02:19:09,780 --> 02:19:16,290 the universe is for the imperfect, to dynamically approach the 1851 02:19:16,290 --> 02:19:16,680 perfect. 1852 02:19:17,520 --> 02:19:23,850 between 2001 and 2003, physicist Harold Dean Brown, mentored me on 1853 02:19:23,850 --> 02:19:28,140 quantum mechanics and modern cosmology. During that time, he 1854 02:19:28,140 --> 02:19:31,770 helped me figure out where I might apply the existence equations to 1855 02:19:31,770 --> 02:19:36,300 physics. By 2004. I had reconstructed key issues in 1856 02:19:36,300 --> 02:19:40,260 theoretical physics to account for current and yet to be discovered 1857 02:19:40,260 --> 02:19:45,300 experimental anomalies. My entire model to a certain extent boil 1858 02:19:45,300 --> 02:19:49,980 down to a single interpretation. From the very beginning, I saw 1859 02:19:49,980 --> 02:19:53,880 that variations in the relative rate of the passage of time should 1860 02:19:53,880 --> 02:19:58,740 correspond with particle decay and mass somehow, there was no way of 1861 02:19:58,740 --> 02:20:02,520 avoiding making splits civic predictions about the Higgs boson. 1862 02:20:02,760 --> 02:20:06,210 This was unsettling at the time because of the lhcb was a near 1863 02:20:06,210 --> 02:20:09,630 completion and wouldn't be up and running for nearly a decade. 1864 02:20:09,690 --> 02:20:13,380 Besides other exotic predictions, it appeared to me that the Higgs 1865 02:20:13,380 --> 02:20:18,300 particle should not decay into leptons or corks easily if at all, 1866 02:20:18,390 --> 02:20:23,160 the Higgs should behave similar to the relationship between ZW plus 1867 02:20:23,190 --> 02:20:28,140 and w minus Bose ons. I needed corks more than leptons to get 1868 02:20:28,140 --> 02:20:32,130 their mass from an entirely different process involving cross 1869 02:20:32,130 --> 02:20:36,690 conjugation and cross symmetry. I prefer the idea that the universe 1870 02:20:36,690 --> 02:20:40,950 is being created all of the time through cyclical processes 1871 02:20:41,010 --> 02:20:45,390 evolving out of quantum fluctuation without a big bang. In 1872 02:20:45,390 --> 02:20:49,170 this model, quarks pop in and out of the vacuum of empty space 1873 02:20:49,200 --> 02:20:54,090 manifesting the universe we see continually. Therefore, I 1874 02:20:54,090 --> 02:20:58,440 concluded that the Higgs should decay mostly into neutral bows on 1875 02:20:58,440 --> 02:21:03,570 specifically photons and Zeebo zones, then lepton pair starting 1876 02:21:03,570 --> 02:21:09,690 with w plus and w minus, and finally gluons and forks. It 1877 02:21:09,690 --> 02:21:13,140 seemed reasonable to make this prediction given that it was 1878 02:21:13,140 --> 02:21:16,410 completely at odds with the proposed decay channels for the 1879 02:21:16,410 --> 02:21:17,430 Higgs boson. 1880 02:21:22,350 --> 02:21:24,930 Even though we don't know which theory governs the behavior of 1881 02:21:24,930 --> 02:21:28,740 Higgs bosons, or if they even exist at all, we understand very 1882 02:21:28,740 --> 02:21:31,860 well what the standard model predicts about the Higgs boson, we 1883 02:21:31,860 --> 02:21:35,640 physicists must explore a broad range of possible masses, and also 1884 02:21:35,640 --> 02:21:39,390 the many ways in which it can decay. It turns out that these two 1885 02:21:39,390 --> 02:21:42,780 factors are interrelated. So let's take a look at this graphic here. 1886 02:21:43,500 --> 02:21:46,680 The Higgs boson is on the left. While there are five other 1887 02:21:46,680 --> 02:21:50,850 particles arranged in the column on the right, there are the most 1888 02:21:50,850 --> 02:21:54,660 common particles into which the Higgs boson can decay. This is how 1889 02:21:54,660 --> 02:21:58,290 we search for Higgs bosons, we pick the mass we want to study and 1890 02:21:58,290 --> 02:22:01,620 find out how Higgs bosons of that mass are likely to decay. 1891 02:22:01,950 --> 02:22:05,880 The new goal was to find a way to match my new prediction to the 1892 02:22:05,880 --> 02:22:10,560 standard model. In the event I happen to get it right. With the 1893 02:22:10,560 --> 02:22:14,760 big announcement that's going to be made on July 4, I really doubt 1894 02:22:14,760 --> 02:22:18,000 that they're going to come out with the big grand announcement of 1895 02:22:18,000 --> 02:22:21,660 finding a hintertux particle and finding in such a way that it 1896 02:22:21,660 --> 02:22:27,480 satisfy all of the expectations of more complex concept of the Higgs 1897 02:22:27,480 --> 02:22:29,970 particle would be needed. The inclusion 1898 02:22:29,970 --> 02:22:33,750 principle and the exclusion principle become interlocked in a 1899 02:22:33,750 --> 02:22:38,190 temporal oscillation of the one becoming the other distinguishing 1900 02:22:38,190 --> 02:22:41,160 one particle from the other becomes a point of quantum 1901 02:22:41,160 --> 02:22:45,870 behavior through the inclusion and exclusion principles in a cross 1902 02:22:45,870 --> 02:22:50,490 symmetrical fashion particle and anti particle identities exchange 1903 02:22:50,550 --> 02:22:54,660 oscillating in and out of identity crisis moments in three dimensions 1904 02:22:54,660 --> 02:22:55,170 of time. 1905 02:22:56,610 --> 02:23:01,260 If we combine the Z z and gamma gamma, combined significance of 1906 02:23:01,260 --> 02:23:03,030 five standard deviations 1907 02:23:06,000 --> 02:23:11,280 in excess excess excess of one big spike here in this region here. 1908 02:23:14,550 --> 02:23:16,920 As a layman, I would now say, we have 1909 02:23:16,920 --> 02:23:18,690 bagged the Higgs boson, 1910 02:23:18,990 --> 02:23:22,890 we haven't discovered Do you have observed a new particle consistent 1911 02:23:22,890 --> 02:23:24,210 with a Higgs boson 1912 02:23:27,420 --> 02:23:27,930 which one 1913 02:23:29,970 --> 02:23:31,830 that remains open. 1914 02:23:34,500 --> 02:23:38,730 Not only was the Higgs particle decaying into primarily neutral 1915 02:23:38,730 --> 02:23:43,710 Bose ons, the Higgs was exhibiting identity crises between the decay 1916 02:23:43,710 --> 02:23:48,720 channels of the ATLAS detector and the CMS detector. This indicated 1917 02:23:48,720 --> 02:23:53,010 entanglement between the Higgs phenomena in both detectors, we 1918 02:23:53,010 --> 02:24:00,030 assume that there's just one Higgs particle with a mass of 144. or 1919 02:24:00,030 --> 02:24:07,410 so, gv. Problem is, is that in the CMS detector, the lighter mass is 1920 02:24:07,410 --> 02:24:11,490 in the gamma gamma channel. Whereas in the ATLAS detector, the 1921 02:24:11,490 --> 02:24:16,170 lighter mass is in the z z channel. So this would indicate 1922 02:24:16,500 --> 02:24:19,500 that the hates the gamma gamma channel has more math than the 1923 02:24:19,500 --> 02:24:25,560 gate for the v2. And then if the Z z channel now it's more massive, 1924 02:24:25,800 --> 02:24:31,260 and it's the gamma gamma channel that's wider. It almost appears as 1925 02:24:31,260 --> 02:24:36,750 though the same particle is happening at Atlas and CMS and 1926 02:24:36,750 --> 02:24:40,890 somehow through entanglement, another Higgs particle, so go 1927 02:24:40,890 --> 02:24:44,670 ahead make that Higgs minus, make this Higgs plus some other 1928 02:24:44,670 --> 02:24:49,680 particle with the same decay modes, but a heavier mass of 1929 02:24:49,680 --> 02:24:56,820 approximately 126 gV is happening in the subsequent two K's whereas 1930 02:24:56,820 --> 02:25:01,470 this the Higgs zz channel has a heavier mass here. And the Higgs 1931 02:25:01,470 --> 02:25:05,700 to gamma gamma as the heavier mass here. What's your opinion about? 1932 02:25:06,330 --> 02:25:10,380 It could be a residence. This is count at a certain energy. 1933 02:25:10,439 --> 02:25:17,219 Yeah, yeah, exactly. Okay. They're not showing any coupling with the 1934 02:25:17,909 --> 02:25:19,259 leptons are the core. 1935 02:25:19,349 --> 02:25:23,669 That's right. Yeah, it's just going to bosons or bronze 1936 02:25:23,700 --> 02:25:28,620 now just bows on, they got to go to the W plus and they got a ww. 1937 02:25:29,010 --> 02:25:29,430 Channel. 1938 02:25:29,520 --> 02:25:31,050 So there's charts. But 1939 02:25:31,050 --> 02:25:35,670 right, but there's still no coupling with the corks and the 1940 02:25:35,670 --> 02:25:36,720 leptons. 1941 02:25:37,320 --> 02:25:39,120 Okay, the courts would be the hammer ons. Okay. 1942 02:25:39,660 --> 02:25:46,860 So we could correspond the masses, like this. So the problem here is 1943 02:25:46,860 --> 02:25:51,120 that we have one particle and two detectors at the same time, in 1944 02:25:51,120 --> 02:25:57,180 both instances, which is extremely peculiar and odd. So what's the 1945 02:25:57,180 --> 02:26:00,600 alternative? And that is to go Okay, well, what we have is we 1946 02:26:00,600 --> 02:26:08,370 just have a single Higgs particle. But there is a mass variation 1947 02:26:08,730 --> 02:26:12,480 that's happening with its decay modes. The problem with that is 1948 02:26:12,480 --> 02:26:17,100 his then we have to explain not only why there is a significant 1949 02:26:17,490 --> 02:26:22,170 mass difference between the gamma gamma and the Z z channel, but why 1950 02:26:22,170 --> 02:26:26,730 that reverses between the detectors. And it looks like we're 1951 02:26:26,730 --> 02:26:31,410 having sort of a quantum behavior of Do we have one particle or two, 1952 02:26:31,500 --> 02:26:33,300 and it looks like depends on how you measure it. 1953 02:26:33,990 --> 02:26:38,160 So the issue was actually resonance phenomena in some sort 1954 02:26:38,160 --> 02:26:44,940 of correlation inside the ring, where you would get correlation 1955 02:26:44,940 --> 02:26:47,490 between what's the heck did here and detected there, and there's 1956 02:26:47,580 --> 02:26:53,010 this observable sort of phase phenomena. That's a very high 1957 02:26:53,010 --> 02:26:58,590 energy, this is a new ring, there could be new phenomenon of the 1958 02:26:58,590 --> 02:27:02,490 protons circulating in there. And that could have properties that we 1959 02:27:02,490 --> 02:27:05,760 don't know. I mean, you know, it's it sees a, it's going that way, it 1960 02:27:05,760 --> 02:27:06,510 sees a really small 1961 02:27:06,510 --> 02:27:11,460 room. Here, again, the heavier mass is the gamma gamma channel, 1962 02:27:11,640 --> 02:27:17,490 whereas down here, heavier mass is the zz. What the Higgs paradoxes 1963 02:27:17,910 --> 02:27:22,560 is it appears that we have either one particle in two detectors at 1964 02:27:22,560 --> 02:27:27,510 the same time, or we're having two particles, and in some way, 1965 02:27:27,510 --> 02:27:33,240 they're entangled in some new form of quantum behavior. So for there 1966 02:27:33,240 --> 02:27:36,150 to be entanglement between the two detectors actually, isn't that 1967 02:27:36,150 --> 02:27:37,110 peculiar and all that? 1968 02:27:38,430 --> 02:27:44,040 connected, but it's not familiar. It could, each proton could have a 1969 02:27:44,070 --> 02:27:45,570 wavefunction inside the ring. 1970 02:27:46,170 --> 02:27:50,850 So it so there could have been possible coupling leptons, but 1971 02:27:50,850 --> 02:27:56,460 their interference pattern is is paired with that channel? Well, 1972 02:27:57,120 --> 02:28:00,420 yeah, I don't know. The explanation of absence of leptons, 1973 02:28:00,420 --> 02:28:07,470 which works. Okay, well, the previous paradigm was, if it can, 1974 02:28:07,470 --> 02:28:10,980 it does, there has to be something that forbids. 1975 02:28:12,330 --> 02:28:16,620 This wasn't really weird as far as quantum mechanics is concerned. 1976 02:28:16,890 --> 02:28:21,690 But oddly, it demonstrated a link between quantum entanglement and 1977 02:28:21,690 --> 02:28:26,550 identity crises. In other words, this was a direct detection of the 1978 02:28:26,550 --> 02:28:30,870 inclusion principle, the experimental data indicated the 1979 02:28:30,870 --> 02:28:34,860 presence of not just one Higgs field, but to 1980 02:28:36,060 --> 02:28:39,840 why is a complex field that means there's a five star to go along 1981 02:28:39,840 --> 02:28:47,640 with fine and the complex field phi is phi real, plus i times phi 1982 02:28:47,670 --> 02:28:51,930 imaginary. Now, these components are not components in space. This 1983 02:28:51,930 --> 02:28:56,550 is just a field which is composed that have two fields and grouped 1984 02:28:56,550 --> 02:29:00,660 together to form something called a complex field phi. And of 1985 02:29:00,660 --> 02:29:07,350 course, there's also a complex conjugate phi star, which is just 1986 02:29:07,350 --> 02:29:14,280 equal to phi real minus i phi imaginary, we would write the 1987 02:29:14,280 --> 02:29:19,620 kinetic energy here not in this form, but as the product of the 1988 02:29:19,620 --> 02:29:24,150 derivative of the conjugate of phi times phi itself. The complex 1989 02:29:24,150 --> 02:29:28,590 number times its own complex conjugate is just the product of 1990 02:29:28,590 --> 02:29:31,770 the real components of the square the real components plus the 1991 02:29:31,770 --> 02:29:35,790 square and imaginary components. And in fact, the half is normally 1992 02:29:35,790 --> 02:29:37,860 not put there for complex fields. 1993 02:29:38,610 --> 02:29:43,230 Ignoring the convention of one half may inadvertently be hiding 1994 02:29:43,230 --> 02:29:48,720 the reality of the reverse time loop. And how, when related to the 1995 02:29:48,720 --> 02:29:53,760 ordinary Schrodinger equation, can create a self normalized set of 1996 02:29:53,760 --> 02:29:54,630 equations. 1997 02:29:55,140 --> 02:30:00,240 Here's the five plane I'll make the five plane horizontal And 1998 02:30:00,240 --> 02:30:03,840 vertically is the potential energy. What is the potential look 1999 02:30:03,840 --> 02:30:08,880 like? It's a function only of five star phi, that means it's a 2000 02:30:08,880 --> 02:30:13,530 function only of the distance from the origin. And the potential 2001 02:30:13,530 --> 02:30:18,300 would look like something like this would be a paraboloid. Here, 2002 02:30:18,300 --> 02:30:21,630 the energy is minimum, here, the potential energy is minimum, 2003 02:30:21,930 --> 02:30:26,340 that's five equals zero. That's the character of the first case. 2004 02:30:26,640 --> 02:30:29,070 Under those circumstances, we would say there's no symmetry 2005 02:30:29,070 --> 02:30:31,380 breaking, no spontaneous symmetry breaking. 2006 02:30:32,010 --> 02:30:33,000 On the other hand, let's 2007 02:30:33,000 --> 02:30:36,960 go back to the case with minus here, then the potential looks 2008 02:30:36,990 --> 02:30:44,640 like this. It starts out at the origin, and goes negative until 2009 02:30:45,420 --> 02:30:50,370 the quartic term becomes as large as the quadratic term. And then it 2010 02:30:50,370 --> 02:30:55,560 turns up, it's a surface of revolution. And the minimum is not 2011 02:30:55,560 --> 02:31:00,750 a point and lies on a circle in the complex plane, the minimum 2012 02:31:00,750 --> 02:31:08,490 energy state is somewhere along a circle of a radius, which is 2013 02:31:08,490 --> 02:31:10,500 determined by the parameters here. 2014 02:31:11,400 --> 02:31:14,880 Notice these parameters are isomorphic. With the time the 2015 02:31:14,880 --> 02:31:15,780 parameters, 2016 02:31:15,960 --> 02:31:17,370 let's call the radius 2017 02:31:17,400 --> 02:31:18,060 F, 2018 02:31:18,720 --> 02:31:21,750 everywhere is in space, the field will want to lie at the same 2019 02:31:21,780 --> 02:31:22,440 angle. 2020 02:31:23,880 --> 02:31:24,450 But 2021 02:31:27,030 --> 02:31:31,470 there's an ambiguity, which direction as long as it's stuck in 2022 02:31:31,470 --> 02:31:36,030 this track here, or equivalently, in this track over here, then the 2023 02:31:36,030 --> 02:31:37,050 energy is minimum, 2024 02:31:37,620 --> 02:31:42,570 radius F is synonymous with a time loop radius of t squared. 2025 02:31:43,200 --> 02:31:46,440 If there's energy stored in a configuration where you move 2026 02:31:46,470 --> 02:31:51,390 everybody simultaneously, then it would enter just rocks back and 2027 02:31:51,390 --> 02:31:55,650 forth. That frequency, the frequency of its motion, is the 2028 02:31:55,650 --> 02:31:59,160 mass. Alright, so if you took the field everywhere, and you 2029 02:31:59,160 --> 02:32:02,310 displaced it up onto the side of the potential, it would start to 2030 02:32:02,310 --> 02:32:04,950 oscillate everywhere would correspond to a mass 2031 02:32:05,519 --> 02:32:10,709 our scenario, this oscillation as a change in the T prime 2032 02:32:10,709 --> 02:32:15,929 coordinate, which we denote as an acceleration, in the same way that 2033 02:32:15,929 --> 02:32:21,749 acceleration is associated with mass in special relativity. So to 2034 02:32:21,989 --> 02:32:27,059 the change in t prime is associated with mass in temporal 2035 02:32:27,059 --> 02:32:30,419 mechanics, and how it relates to the Higgs field, 2036 02:32:31,050 --> 02:32:34,350 you could imagine an explicit symmetry breaking, which would 2037 02:32:34,350 --> 02:32:38,760 correspond to toping the potential a little bit, right. If you tilted 2038 02:32:38,760 --> 02:32:41,640 it, then one point would be preferred relative to the other, 2039 02:32:41,700 --> 02:32:42,900 and it would be the ground state. 2040 02:32:43,409 --> 02:32:48,479 What we're seeing with the Higgs data between Atlas and CMS is two 2041 02:32:48,479 --> 02:32:55,649 overlapped, explicitly broken Higgs field symmetries. We have 2042 02:32:55,649 --> 02:33:00,329 one like this explicit symmetry breaking like this, and explicit 2043 02:33:00,329 --> 02:33:04,349 symmetry like this. And what this represents is not only the 2044 02:33:04,349 --> 02:33:08,759 inclusion principle, and how it relates to quantum entanglement, 2045 02:33:08,999 --> 02:33:13,289 these two forms of explicit symmetry breaking are actually 2046 02:33:13,499 --> 02:33:21,539 what we'll call em violation, or a violation and mass symmetry 2047 02:33:21,539 --> 02:33:26,969 between the two decay channels measured at Atlas and CMS. And 2048 02:33:26,970 --> 02:33:32,220 now let's represent the field in a new way on the complex plane row 2049 02:33:32,250 --> 02:33:37,710 is the radial value of a field. In other words, the magnitude of the 2050 02:33:37,710 --> 02:33:42,630 field, and alpha is the angle. So you can think of alpha as a field, 2051 02:33:43,230 --> 02:33:46,920 which whose value is on this circle here, if you like, or at 2052 02:33:46,920 --> 02:33:51,660 least it has to do with an angle. Row is a field, which when you 2053 02:33:51,660 --> 02:33:56,430 change, it, changes the potential energy and pushes you away from 2054 02:33:56,430 --> 02:33:58,830 the from the from the minimum energy. 2055 02:33:59,640 --> 02:34:06,150 As we can see, changes in this field corresponds with changes in 2056 02:34:06,150 --> 02:34:12,000 t prime, and changes in alpha corresponds with changes in t 2057 02:34:12,000 --> 02:34:12,750 squared. 2058 02:34:13,650 --> 02:34:17,910 Notice that the potential only depends on row and not alpha. 2059 02:34:19,830 --> 02:34:24,960 That's just the symmetry. So in some approximation, where we don't 2060 02:34:24,960 --> 02:34:30,570 ever excite any motion up and down or away from the track here, we 2061 02:34:30,570 --> 02:34:35,190 can just think of rho is a constant. Row doesn't vary from 2062 02:34:35,190 --> 02:34:39,030 point to point. So we can just replace this by f squared, 2063 02:34:40,350 --> 02:34:46,110 derivative of alpha squared. And then the rest of it has only to do 2064 02:34:46,110 --> 02:34:49,770 with row. What about this f? What do we do with this f? It's just a 2065 02:34:49,770 --> 02:34:52,530 number. Remember, it's just a number it's fixed doesn't vary 2066 02:34:52,530 --> 02:34:56,670 from place to place. We can absorb it into the definition 2067 02:34:56,670 --> 02:34:58,020 redefinition of alpha. 2068 02:34:58,829 --> 02:35:03,749 In addition, The temporal mechanical definition for mass t 2069 02:35:03,749 --> 02:35:09,629 prime times t squared corresponds with the radius f squared times 2070 02:35:09,659 --> 02:35:12,869 the partial derivative of alpha squared. 2071 02:35:13,530 --> 02:35:18,420 And so this pretend this kind of field has two distinct kinds of 2072 02:35:18,420 --> 02:35:22,710 quanta associated with it. One massless, one mass massive, 2073 02:35:23,070 --> 02:35:28,110 oscillating this way. We would call the Higgs boson and it has a 2074 02:35:28,110 --> 02:35:33,840 mass. What about oscillating this way? That's the Goldstone boson. 2075 02:35:33,900 --> 02:35:36,900 It's massless but there is no massless Goldstone boson in 2076 02:35:36,900 --> 02:35:43,680 nature. So something happened to it. In the parlance of high energy 2077 02:35:43,680 --> 02:35:49,530 physics, the Goldstone boson got eaten by the gauge Bose on 2078 02:35:49,740 --> 02:35:53,520 resulting in giving the Higgs boson a mass. 2079 02:35:54,960 --> 02:36:00,960 Goldstone goes on eaten by the gauge Bose on resulting in a mass 2080 02:36:00,960 --> 02:36:05,940 for the Higgs boson. Okay, remember, the Goldstone boson is 2081 02:36:05,940 --> 02:36:11,010 the one associated with a motion around here. The Higgs boson is 2082 02:36:11,010 --> 02:36:13,020 the one associated with us over here, 2083 02:36:13,230 --> 02:36:18,390 given the T squared corresponds to the Goldstone Bose on in changes 2084 02:36:18,390 --> 02:36:21,420 in the Higgs field in this direction corresponds with t 2085 02:36:21,420 --> 02:36:26,220 prime, it can be argued quite easily that the Higgs field is 2086 02:36:26,220 --> 02:36:30,030 nothing more than a scaled version of three dimensional time, 2087 02:36:30,480 --> 02:36:34,170 accounting for particle mass in the very same way that the 2088 02:36:34,170 --> 02:36:38,610 relationship between t prime and t squared accounts for mass in 2089 02:36:38,610 --> 02:36:39,930 temporal mechanics 2090 02:36:40,560 --> 02:36:46,350 are complex scalar field phi is that just that it's a complex 2091 02:36:46,350 --> 02:36:51,120 scalar field, and at every point in space, real space, it has a 2092 02:36:51,120 --> 02:36:55,980 value. That value is not a single number. It's a pair of numbers. 2093 02:36:56,100 --> 02:36:58,290 Why? Because it's a pair of fields to begin with. 2094 02:36:59,100 --> 02:37:02,910 We will look at the Higgs particle data from a temporal frame of 2095 02:37:02,910 --> 02:37:06,270 reference appealing to the equivalence between the Higgs 2096 02:37:06,270 --> 02:37:11,550 mechanism and the generator for time evolution relative to time 2097 02:37:11,730 --> 02:37:16,260 and at the moment of collusion. The securities route around the Lh 2098 02:37:16,260 --> 02:37:21,510 see accelerator that particles travel takes on characteristics of 2099 02:37:21,510 --> 02:37:26,430 a time loop. With the right level of energy, this time loop becomes 2100 02:37:26,430 --> 02:37:30,900 synonymous with the radius f from the Higgs mechanism which 2101 02:37:30,900 --> 02:37:35,970 corresponds with the Goldstone boson. H naught denotes a massless 2102 02:37:35,970 --> 02:37:41,340 Goldstone boson whose probability distribution throughout the Lh c 2103 02:37:41,430 --> 02:37:46,200 represents an undisturbed Higgs field permeating blh See, 2104 02:37:46,560 --> 02:37:50,820 including both the CMS and Atlas detectors, when the right 2105 02:37:50,820 --> 02:37:55,140 particles with sufficient energy are collided. This field is 2106 02:37:55,140 --> 02:38:00,750 excited and the H naught Goldstone bows on oscillates between H plus 2107 02:38:00,750 --> 02:38:06,060 and H minus eigenstates. The H plus and H minus consequently 2108 02:38:06,060 --> 02:38:11,610 decay into massive neutral Bose ons explicitly Zeebo zones, and 2109 02:38:11,790 --> 02:38:16,890 massless neutral Bose ons, specifically photons. There is an 2110 02:38:16,890 --> 02:38:21,180 unfamiliar symmetry violation here. The Higgs particle data from 2111 02:38:21,180 --> 02:38:25,920 both Atlas and CMS appear to exhibit unintentional effects of 2112 02:38:25,920 --> 02:38:31,560 quantum entanglement comparing the neutral k on mixing CP violation 2113 02:38:31,680 --> 02:38:36,600 and the neutral B Mays on oscillation t violation with the 2114 02:38:36,600 --> 02:38:41,160 age plus and H minus decay modes demonstrates a new kind of 2115 02:38:41,160 --> 02:38:47,550 symmetry breaking m violation. in relativity, it is assumed that 2116 02:38:47,550 --> 02:38:51,960 inertial mass is invariant under Lorentz transformations. 2117 02:38:52,320 --> 02:38:57,870 Conversely, the Higgs particle is showing us otherwise. Similar to 2118 02:38:57,870 --> 02:39:02,940 the two slit experiment. Both the H plus and H minus eigenstates 2119 02:39:02,940 --> 02:39:07,350 have a probability to be detected in either the Atlas or CMS 2120 02:39:07,350 --> 02:39:12,270 detector. By oversimplifying the issue, assuming there is quantum 2121 02:39:12,270 --> 02:39:17,250 entanglement between Particle Beams. Someone at CMS might first 2122 02:39:17,250 --> 02:39:22,110 attack Zeebo zones, then affecting atlases probability to detect the 2123 02:39:22,110 --> 02:39:27,330 same if the Z bows on Channel detected in CMS tends to be more 2124 02:39:27,330 --> 02:39:31,560 energetic than the Z Bo zones detected in Atlas will tend to be 2125 02:39:31,560 --> 02:39:36,870 less energetic or vice versa. Consequently, since the Higgs 2126 02:39:36,870 --> 02:39:42,390 particle also decays into photons, the less energetic photon channel 2127 02:39:42,420 --> 02:39:46,470 would correspond with the more energetic z channel and the more 2128 02:39:46,470 --> 02:39:50,430 energetic photon channel would correspond with the less energetic 2129 02:39:50,430 --> 02:39:55,680 z channel. This a symmetry between z z channels or the gamma gamma di 2130 02:39:55,680 --> 02:40:00,540 photon channel corresponds with the 5050 relationship. Between 2131 02:40:00,540 --> 02:40:05,520 forward and reverse time, the H plus and H minus eigenstates 2132 02:40:05,520 --> 02:40:09,600 represent two different Higgs fields or family oriented in 2133 02:40:09,600 --> 02:40:13,170 forward and reverse time simultaneously relative to one 2134 02:40:13,170 --> 02:40:19,080 another. The H naught is the same Goldstone boson and both fields so 2135 02:40:19,080 --> 02:40:23,100 at llorens transforms either way, giving mass to the Higgs 2136 02:40:23,100 --> 02:40:27,960 particles, there is a slight mass variation between the Atlas and 2137 02:40:27,960 --> 02:40:32,070 CMS measurements, this may affect the precision of determining a 2138 02:40:32,070 --> 02:40:36,030 mass violation between decay channels. Nevertheless, we could 2139 02:40:36,030 --> 02:40:40,410 swap the zz and die photon channels between eigenstates and 2140 02:40:40,410 --> 02:40:43,890 still end up with two Higgs particles one heavier than the 2141 02:40:43,890 --> 02:40:48,000 other. This criss cross relationship of probable 2142 02:40:48,000 --> 02:40:52,650 eigenstates between detectors is a perfect example of quantum 2143 02:40:52,650 --> 02:40:57,180 entanglement involving both the exclusion and inclusion principle 2144 02:40:57,390 --> 02:41:01,500 and how identity crises and the uncertainty principle are related. 2145 02:41:01,920 --> 02:41:06,060 We get an important insight into the inversely proportional 2146 02:41:06,060 --> 02:41:10,200 relationship between the absolute value of the passage of time and 2147 02:41:10,200 --> 02:41:14,490 linear time found in the temporal mechanical expression for mass and 2148 02:41:14,490 --> 02:41:18,630 how it relates to the standard model. The big question becomes 2149 02:41:18,660 --> 02:41:24,330 what normalizes this inertial mass variance with the conservation of 2150 02:41:24,330 --> 02:41:29,460 energy. A variety of time loops cycle with varying rates of the 2151 02:41:29,460 --> 02:41:34,350 passage of time, the more time cycled within a time loop, the 2152 02:41:34,350 --> 02:41:39,420 more massive or energetic the time loop. The ratio between the 2153 02:41:39,420 --> 02:41:43,800 passage of time with linear time and between the period of time 2154 02:41:43,920 --> 02:41:48,930 with the present moment determines the curvature of space time. The 2155 02:41:48,930 --> 02:41:52,770 complex relationship between spatial and temporal coordinates 2156 02:41:52,770 --> 02:41:56,250 gets deeper when considering the inversely proportional 2157 02:41:56,250 --> 02:42:00,900 relationship between the absolute value of t prime and t squared, 2158 02:42:01,290 --> 02:42:06,060 and how that relates to space. In classical physics, motion is 2159 02:42:06,060 --> 02:42:09,990 calculated using vectors, where changes in the physical state 2160 02:42:10,020 --> 02:42:15,270 along one axis are independent of changes along another axis when 2161 02:42:15,270 --> 02:42:20,040 the axes are perpendicular to one another. In modern physics, not 2162 02:42:20,040 --> 02:42:24,030 just vectors, but state vectors. tensors and differentiable 2163 02:42:24,030 --> 02:42:28,890 manifolds still utilize this principle, which in part leads to 2164 02:42:28,890 --> 02:42:34,380 Weinstein's equivalence principle, inertial mass times acceleration, 2165 02:42:34,680 --> 02:42:39,570 equals gravitational mass times the intensity of the gravitational 2166 02:42:39,570 --> 02:42:43,860 field. The new equivalence principle can be applied to both 2167 02:42:43,860 --> 02:42:48,180 acceleration and gravity through Einstein's equivalence principle, 2168 02:42:48,900 --> 02:42:52,680 if the inertial mass and gravitational mass are equivalent, 2169 02:42:52,830 --> 02:42:56,370 and if the intensity of the gravitational field and 2170 02:42:56,370 --> 02:43:00,780 acceleration are equivalent, then we get an equivalent to Einstein's 2171 02:43:00,780 --> 02:43:05,400 principle. Nonetheless, we can extend the same line of reasoning 2172 02:43:05,430 --> 02:43:09,270 used with the Hamiltonian and cross conjugation into this 2173 02:43:09,270 --> 02:43:12,660 equivalence expression by relabeling the mass and 2174 02:43:12,660 --> 02:43:17,430 acceleration components with initial and final states, applying 2175 02:43:17,430 --> 02:43:22,560 the reverse time interval. In a thermal loop, heat escapes through 2176 02:43:22,560 --> 02:43:27,600 entropy in a time loop, linear time escapes through entropy. So 2177 02:43:27,600 --> 02:43:33,000 what escapes and energy mass loop through entropy space, 2178 02:43:33,570 --> 02:43:38,610 the theory that Einstein wrote down, when you apply it, for 2179 02:43:38,610 --> 02:43:42,630 instance, to these black holes, you see that it starts resembling 2180 02:43:42,630 --> 02:43:46,650 things that we call thermodynamics, in terms of not 2181 02:43:46,710 --> 02:43:51,450 looking at the individual motion of the atoms and molecules. But by 2182 02:43:51,450 --> 02:43:54,690 just thinking about these objects like temperature, pressure, and so 2183 02:43:54,690 --> 02:43:59,010 on. So temperature, for instance, also forgets about how all of the 2184 02:43:59,010 --> 02:44:02,280 individual molecules are moving, we don't have to keep track of 2185 02:44:02,280 --> 02:44:06,270 that. Gravity is some what like that in the sense that the thing, 2186 02:44:06,300 --> 02:44:11,460 the equations that we currently use to describe gravity are 2187 02:44:11,460 --> 02:44:15,600 basically obtained from averaging, or at least describing things at a 2188 02:44:15,600 --> 02:44:19,350 much tinier scale, and then forgetting about certain details, 2189 02:44:19,800 --> 02:44:23,700 the face base of our universe, and I'm gonna make a picture of a big 2190 02:44:23,700 --> 02:44:28,890 face base of fast variables. And here we have a small face base. 2191 02:44:29,580 --> 02:44:32,970 And where we have slow variables, like the variables, x that are 2192 02:44:32,970 --> 02:44:37,650 indicated as the positions of particles. And God put a name for 2193 02:44:37,650 --> 02:44:41,100 it, I mean, I'm going to call this actually, the x branch. And a 2194 02:44:41,100 --> 02:44:44,940 small face base can be thought of as what's called a colon branch is 2195 02:44:44,940 --> 02:44:49,980 a language that's borrowed from string theory. See, you can think 2196 02:44:49,980 --> 02:44:54,570 about as the number of degrees of freedom, and n is more like the 2197 02:44:54,570 --> 02:44:58,350 number of excitations. So I'm going to think about a bar of 2198 02:44:58,350 --> 02:45:01,980 space time and then we're going to ask What is the the face base that 2199 02:45:01,980 --> 02:45:05,460 I'm gonna associate with that, and then C will be actually determined 2200 02:45:06,240 --> 02:45:09,870 by geometric data. So there will actually be eventually a way to 2201 02:45:09,870 --> 02:45:15,780 express these formulas in terms of the energy in the system, the area 2202 02:45:15,960 --> 02:45:21,570 of what's around it, and even the dimensions of the system. So the 2203 02:45:21,570 --> 02:45:25,020 extra dimensions that have added here, in our description 2204 02:45:25,020 --> 02:45:27,930 description to me are just necessary to describe the Hilbert 2205 02:45:27,930 --> 02:45:31,620 space from which I'm going to derive the positions that are 2206 02:45:31,620 --> 02:45:35,970 going to describe positions in space time. The gravity equations 2207 02:45:35,970 --> 02:45:41,400 of Einstein are also used in describing the expansion of the 2208 02:45:41,400 --> 02:45:45,540 universe, The Big Bang Theory are all based on the same equations. 2209 02:45:47,010 --> 02:45:51,180 What I hope is that the ideas that we are now starting to develop for 2210 02:45:51,180 --> 02:45:55,440 gravity can eventually sort of lead to possibly some somewhat 2211 02:45:56,010 --> 02:45:59,610 better or even more refined way of thinking about the early universe. 2212 02:46:00,570 --> 02:46:01,650 Referring back to 2213 02:46:01,650 --> 02:46:05,820 the time reversal violation of the neutral beam liaison, the near 2214 02:46:05,820 --> 02:46:09,660 zero change in the delta c component corresponds with the 2215 02:46:09,660 --> 02:46:14,910 reversible nature of linear time, the negative nonzero change in the 2216 02:46:14,910 --> 02:46:19,470 delta S component corresponds with a decreased rate of the passage of 2217 02:46:19,470 --> 02:46:24,660 time proportional to a decrease in the relative decay time, such as 2218 02:46:24,660 --> 02:46:29,820 with K long, the positive nonzero change in the delta S component 2219 02:46:29,850 --> 02:46:33,420 corresponds with an increased rate of the passage of time 2220 02:46:33,420 --> 02:46:37,770 proportional to an increase in relative decay time, such as with 2221 02:46:37,770 --> 02:46:43,740 K short. In addition, the slightly larger inertial mass with a longer 2222 02:46:43,740 --> 02:46:48,810 decay time for the K long and the slightly smaller inertial mass 2223 02:46:48,840 --> 02:46:53,160 with a shorter decay time for K short are consistent with the 2224 02:46:53,160 --> 02:46:56,460 inversely proportional relationship between the absolute 2225 02:46:56,460 --> 02:47:00,780 value of the passage of time and linear time concerning the 2226 02:47:00,780 --> 02:47:06,420 temporal mechanical expression for mass and energy. When the positive 2227 02:47:06,450 --> 02:47:10,680 and negative nonzero changes in the delta S component are 2228 02:47:10,680 --> 02:47:15,240 evaluated. figure is derived representing the time reversal 2229 02:47:15,240 --> 02:47:19,140 violation of the neutral de Maison measured independently. 2230 02:47:19,919 --> 02:47:24,719 In 1963, an Italian physicist Niccolo could be about notice a 2231 02:47:24,719 --> 02:47:29,429 relationship between these two apparently disparate decays and 2232 02:47:29,429 --> 02:47:32,849 that all of the cases of the case of these particles obey that 2233 02:47:32,849 --> 02:47:35,609 relationship to Japanese physicists Kobayashi in the 2234 02:47:35,609 --> 02:47:40,649 scholar in 1973, said, if we hypothesize that there are three 2235 02:47:40,649 --> 02:47:45,899 more quarks, so there are a total of six quarks, and that the way 2236 02:47:45,899 --> 02:47:50,369 that they decay into each other obeys a matrix of relationships, 2237 02:47:50,459 --> 02:47:54,899 then we can explain how the weak force makes a difference between 2238 02:47:54,899 --> 02:47:58,709 matter and anti matter. We have discovered which are important and 2239 02:47:58,709 --> 02:48:02,099 both the bottom and top courts were discovered at the lab outside 2240 02:48:02,099 --> 02:48:06,839 Chicago Fermilab and those relationships have allowed us to 2241 02:48:06,839 --> 02:48:10,289 make a number of important predictions, I'm going to call the 2242 02:48:10,319 --> 02:48:13,949 C k m model for the three guys could be the vivo Kobayashi 2243 02:48:13,949 --> 02:48:18,749 miscount. So this model or theory predicts relationships between the 2244 02:48:18,749 --> 02:48:23,699 waves different courts decay, and it predicts that there'll be a big 2245 02:48:23,699 --> 02:48:28,319 matter anti matter difference, and a symmetry in the case of the beam 2246 02:48:28,319 --> 02:48:32,699 as it's a particle that has a bottom cork, the cork and another 2247 02:48:32,699 --> 02:48:37,049 cork, and it's it's an upper downpour, remember in the K on the 2248 02:48:37,049 --> 02:48:42,239 size of the asymmetry was point oh three, three. In this case, they 2249 02:48:42,239 --> 02:48:46,199 predict that the asymmetry will be large point seven or point eight. 2250 02:48:46,199 --> 02:48:48,689 So that sounds great, because it's a lot easier to measure a big 2251 02:48:48,689 --> 02:48:52,469 effect than a small effect. And so what we have done over the last 15 2252 02:48:52,469 --> 02:48:57,209 years, is to build an accelerator and a detector to make lots and 2253 02:48:57,209 --> 02:49:01,619 lots of beam marathons and to try to prove that the SI cam model is 2254 02:49:01,619 --> 02:49:06,419 correct. Problem is the SI cam model of differences between 2255 02:49:06,419 --> 02:49:11,099 matter and anti matter cannot unfortunately explain why there's 2256 02:49:11,099 --> 02:49:16,139 matter left in the universe. If the ck a model were the only way 2257 02:49:16,169 --> 02:49:19,679 that forces were different between matter and anti matter, we would 2258 02:49:19,679 --> 02:49:24,089 have 110 billion of the amount of matter in the universe that we 2259 02:49:24,090 --> 02:49:24,780 actually have. 2260 02:49:25,349 --> 02:49:30,659 Remember, because of CPT symmetry, there is equivalence between CP 2261 02:49:30,659 --> 02:49:35,699 violations and time reversal violations. Likewise, the C k m 2262 02:49:35,699 --> 02:49:39,689 matrix connects the asymmetry between particles and anti 2263 02:49:39,689 --> 02:49:46,259 particles preserving CPT symmetry. However, neither the C k m matrix 2264 02:49:46,289 --> 02:49:50,999 nor the CPT symmetry account for gravity. The Standard Model 2265 02:49:50,999 --> 02:49:55,289 remains silent regarding one of the four fundamental forces in 2266 02:49:55,289 --> 02:49:59,969 physics. Furthermore, the M violation detected in the decay 2267 02:50:00,029 --> 02:50:05,129 channels of the Higgs boson indicates yet another symmetry not 2268 02:50:05,129 --> 02:50:09,179 covered by CPT symmetry corresponding with mass 2269 02:50:09,209 --> 02:50:14,789 invariance. Temporal mechanics preserves rotation, reflection and 2270 02:50:14,789 --> 02:50:19,109 translation symmetry within a three dimensional time construct 2271 02:50:19,139 --> 02:50:22,829 whereby temporal asymmetries are the equivalent to the mass 2272 02:50:22,829 --> 02:50:28,979 violation asymmetry found in the Higgs decay channels. What saves 2273 02:50:29,009 --> 02:50:33,839 em violation from violating the conservation of energy, three 2274 02:50:33,839 --> 02:50:38,849 dimensional time and its relationship with space. Therefore 2275 02:50:39,359 --> 02:50:44,069 cptn symmetry may be a new fundamental symmetry of physical 2276 02:50:44,069 --> 02:50:49,799 law. If the Higgs data remains more or less the same in 2015, 2277 02:50:49,889 --> 02:50:54,149 when the Particle Beams brightness is significantly increased. 2278 02:50:56,700 --> 02:51:01,050 How does inertial mass stay invariant if it's passage of time 2279 02:51:01,050 --> 02:51:07,020 component can change and inertial mass stays invariant by having a 2280 02:51:07,020 --> 02:51:11,760 gravitational field if two particles are in the same state at 2281 02:51:11,760 --> 02:51:15,930 the same time, and it is not possible for them to change state 2282 02:51:15,930 --> 02:51:20,730 in order to avoid violating the exclusion principle, the identity 2283 02:51:20,730 --> 02:51:24,030 of each separate particle can become indistinguishable, 2284 02:51:24,300 --> 02:51:30,240 resulting in just one particle. If the two particles become one, what 2285 02:51:30,240 --> 02:51:35,520 happens to their mass? What do we do with the excess mass created by 2286 02:51:35,520 --> 02:51:39,270 this identity crisis as not to violate the conservation of 2287 02:51:39,270 --> 02:51:45,060 energy, one of the masses is converted to a relative time and 2288 02:51:45,060 --> 02:51:50,400 conserved through a change in the rate of the passage of time, the 2289 02:51:50,400 --> 02:51:55,230 gradient of change in the rate of the passage of time of the massive 2290 02:51:55,260 --> 02:52:02,310 object is the gravitational field of that massive object. Now, the 2291 02:52:02,310 --> 02:52:07,380 two particles as one exists in a slower frame of reference than 2292 02:52:07,380 --> 02:52:12,450 before, in a three dimensional time way, the two particles remain 2293 02:52:12,450 --> 02:52:17,430 both separate and together simultaneously, a superposition of 2294 02:52:17,430 --> 02:52:21,840 possible states where the initial separate states are the 2295 02:52:21,840 --> 02:52:26,850 probability of the single state in reverse, and the single state is 2296 02:52:26,850 --> 02:52:31,890 the collapsed wave function of that reversed probability, the 2297 02:52:31,890 --> 02:52:34,800 particles become indistinguishable, and without 2298 02:52:34,800 --> 02:52:39,240 violating the conservation of energy, the two become one with a 2299 02:52:39,240 --> 02:52:43,470 probability of having been one or the other of the two interfering 2300 02:52:43,470 --> 02:52:47,790 particles. The exclusion principle prevents the inclusion principle 2301 02:52:47,790 --> 02:52:51,840 from collapsing the wavefunction into the same space at the same 2302 02:52:51,840 --> 02:52:55,860 time, and the inclusion principle prevents the exclusion principle 2303 02:52:55,860 --> 02:52:59,880 from distinguishing between particles. revisiting the temporal 2304 02:52:59,880 --> 02:53:04,260 definition of mass, we find that the passage of time coordinate t 2305 02:53:04,260 --> 02:53:09,180 prime and the corresponding relation term and have an inverse 2306 02:53:09,180 --> 02:53:13,020 proportional relationship not dependent on the linear time 2307 02:53:13,020 --> 02:53:17,820 vector t squared, the linear time vector is composed of two 2308 02:53:17,820 --> 02:53:25,050 coordinates period T sub one and present T sub two. Since particles 2309 02:53:25,050 --> 02:53:28,980 can exist in the same place at the same time period, by being 2310 02:53:28,980 --> 02:53:33,480 distributed throughout various present moments at various rates 2311 02:53:33,480 --> 02:53:37,380 of the passage of time, these quantities associated with 2312 02:53:37,380 --> 02:53:41,310 particles masses, would be distributed along various present 2313 02:53:41,310 --> 02:53:46,770 moments, leaving the period and spatial coordinates unchanged. In 2314 02:53:46,770 --> 02:53:51,000 other words, the period coordinate T sub one and the present 2315 02:53:51,030 --> 02:53:56,400 coordinate T sub two can vary inversely proportional, not 2316 02:53:56,400 --> 02:54:01,770 affecting the value of t squared. However, since we are dealing with 2317 02:54:01,770 --> 02:54:06,450 various rates of the passage of time, different mass distributions 2318 02:54:06,450 --> 02:54:10,800 of point particle masses, the difference in the passage of time 2319 02:54:10,830 --> 02:54:15,720 between various masses in different locations will displace 2320 02:54:15,720 --> 02:54:19,470 this center of mass towards equilibrium through uniform 2321 02:54:19,500 --> 02:54:24,810 invariant motion, inversely proportional to the distance and 2322 02:54:24,810 --> 02:54:29,880 proportional to the period of time the motion takes place in we know 2323 02:54:29,880 --> 02:54:35,430 this simply as gravity returning to the inversely proportional 2324 02:54:35,430 --> 02:54:40,230 relationship, that both space and period of time have with the 2325 02:54:40,230 --> 02:54:45,390 passage of time and the Lorentz invariant relationship between 2326 02:54:45,390 --> 02:54:50,340 space and periods of time, we can find deeper insight into the 2327 02:54:50,340 --> 02:54:55,020 Galilean equivalence principle. What becomes apparent is that 2328 02:54:55,020 --> 02:55:00,750 these four potential relations between space linear time squared 2329 02:55:01,140 --> 02:55:06,450 and passage of time have a complex conjugate type of relationship 2330 02:55:06,750 --> 02:55:11,400 where relative to the lighter mass object, we get the following 2331 02:55:11,400 --> 02:55:16,080 frames of reference, and relative to the heavier mass object, we get 2332 02:55:16,080 --> 02:55:20,880 these frames of reference. From here we can derive two equations 2333 02:55:20,880 --> 02:55:25,350 for acceleration, one relative to the falling object, the other 2334 02:55:25,350 --> 02:55:30,510 relative to the mass of body, while we can see is that these two 2335 02:55:30,510 --> 02:55:35,190 equations are conjugates. Therefore, both masses are 2336 02:55:35,190 --> 02:55:38,790 experiencing the same acceleration, though not in the 2337 02:55:38,790 --> 02:55:39,600 same way. 2338 02:55:40,890 --> 02:55:46,260 Remember, a quick look at Kepler's Third Law reveals a common 2339 02:55:46,260 --> 02:55:51,570 universality with our time loop. Therefore, we can use the two body 2340 02:55:51,570 --> 02:55:55,260 problem to work out the relationship between the age plus 2341 02:55:55,260 --> 02:56:00,630 and H minus potential states of the Higgs particle and use the M 2342 02:56:00,630 --> 02:56:05,010 violation to relate the Higgs field to a gravitational field 2343 02:56:05,010 --> 02:56:09,870 thereby quantizing gravitation and bringing it into the standard 2344 02:56:09,870 --> 02:56:15,780 model. Let's assume that the H plus state has its own Higgs 2345 02:56:15,780 --> 02:56:20,280 field, the H minus state has its own Higgs field, and that these 2346 02:56:20,280 --> 02:56:25,230 fields vary according to the new equivalence principle. Since the H 2347 02:56:25,230 --> 02:56:29,430 naught is a massless Goldstone boson, we will let it inter 2348 02:56:29,430 --> 02:56:34,560 mediate between the age plus field and the age minus field. Since the 2349 02:56:34,560 --> 02:56:39,030 age plus field mass is more associated with photons, it is 2350 02:56:39,030 --> 02:56:44,220 slightly ahead in linear time and since the H minus field mass is 2351 02:56:44,220 --> 02:56:49,320 more associated with z bows ons, it is slightly behind in linear 2352 02:56:49,320 --> 02:56:55,050 time. However, relative to a position frame of reference, since 2353 02:56:55,050 --> 02:57:00,030 the H minus field overall bears less mass than the H plus field, 2354 02:57:00,300 --> 02:57:04,950 the opposite is true, we will assume that the H plus field is 2355 02:57:04,950 --> 02:57:09,540 more gravitation like and that the age minus field is more inertial 2356 02:57:09,540 --> 02:57:14,760 mass like there are four basic a symmetries that make up the mass 2357 02:57:14,760 --> 02:57:19,530 of Higgs bows on oscillations. It is the inversely proportional 2358 02:57:19,530 --> 02:57:25,620 asymmetry between h plus h minus that couples them together. The H 2359 02:57:25,620 --> 02:57:29,700 naught bows on exchanges the inertial mass lash momentum 2360 02:57:29,730 --> 02:57:35,370 between H plus and H minus. Therefore, this massless 2361 02:57:35,370 --> 02:57:41,280 Goldstone, Higgs is gravitation like oscillating mass between H 2362 02:57:41,280 --> 02:57:45,300 plus and H minus fields through its three dimensional time 2363 02:57:45,300 --> 02:57:48,840 equivalence and inversely proportional to the square of the 2364 02:57:48,840 --> 02:57:53,340 period between them. When the linear time function of H naught 2365 02:57:53,370 --> 02:57:57,690 is equivalent to the center of mass, the variance between H plus 2366 02:57:57,690 --> 02:58:01,500 and H minus corresponds with the curb time components of the 2367 02:58:01,500 --> 02:58:06,630 relevant geodesics. The difference in period of time between H plus 2368 02:58:06,630 --> 02:58:11,070 and H minus, which corresponds to their difference in mass can be 2369 02:58:11,070 --> 02:58:15,690 used to derive the corresponding spatial expression, locating H 2370 02:58:15,690 --> 02:58:20,460 plus and H minus in space in relation to one another. When we 2371 02:58:20,460 --> 02:58:24,960 take the spatial coordinates, and the temporal coordinates and apply 2372 02:58:24,960 --> 02:58:28,650 them together through cross symmetry or cross conjugation, 2373 02:58:29,130 --> 02:58:33,210 while we're able to do is superimpose these two reference 2374 02:58:33,210 --> 02:58:37,590 frames on top of one another, and what we can see as we end up with 2375 02:58:37,590 --> 02:58:38,940 an identity crisis, 2376 02:58:39,599 --> 02:58:44,969 if the potential had an imbalance, so that one was lower than the 2377 02:58:44,969 --> 02:58:51,359 other, then this would be an explicit symmetry breaking, and 2378 02:58:51,419 --> 02:58:56,129 the ground state would sit here. In that case, if you take a very, 2379 02:58:56,129 --> 02:59:00,209 very big sample, there will not be domain walls, it will be very 2380 02:59:00,209 --> 02:59:03,809 energetically unfavorable to have domain walls or domain walls 2381 02:59:03,809 --> 02:59:08,279 simply want to minimize the number of wrongheaded wrong direct and 2382 02:59:08,279 --> 02:59:14,759 spins or wrong directed fields and simply move over and try to wipe 2383 02:59:14,759 --> 02:59:20,129 out the wrong spins. You one is a continuous symmetry, Su two, Su 2384 02:59:20,129 --> 02:59:23,909 three, whatever they're all continuous symmetries, where you 2385 02:59:23,909 --> 02:59:29,519 can interpolate configurations. By using the continuous generators of 2386 02:59:29,519 --> 02:59:32,639 the group to go from one configuration to another. We want 2387 02:59:32,639 --> 02:59:35,549 to understand what it would mean to spontaneously break a 2388 02:59:35,549 --> 02:59:36,749 continuous symmetry. 2389 02:59:37,500 --> 02:59:41,280 If we start with the cross conjugate equivalence between the 2390 02:59:41,280 --> 02:59:45,660 first and third quadrants of the identity crises complex unit 2391 02:59:45,660 --> 02:59:49,950 circle, we can apply absolute values to the passage of time 2392 02:59:49,950 --> 02:59:55,200 components setting both forward and reverse time directions equal. 2393 02:59:55,830 --> 03:00:01,170 In doing so, entropy can be applied to both space And temporal 2394 03:00:01,170 --> 03:00:06,600 frames of reference, where both age plus and H minus tend towards 2395 03:00:06,600 --> 03:00:10,140 sharing the same frame of reference in the same direction of 2396 03:00:10,140 --> 03:00:10,620 time. 2397 03:00:11,820 --> 03:00:15,420 Entropy depends upon the number of ways the system can be arranged, 2398 03:00:15,900 --> 03:00:19,530 the more ways the system can be in a macroscopic state, the higher 2399 03:00:19,530 --> 03:00:24,000 the entropy. So the entropy, or Boltzmann's equation for the 2400 03:00:24,000 --> 03:00:28,320 entropy is equal to k, the Boltzmann's constant constant 2401 03:00:28,320 --> 03:00:32,100 times natural log of the number of ways this is going to be in that 2402 03:00:32,100 --> 03:00:35,760 particular state. So, this is a case where we have all four light 2403 03:00:35,760 --> 03:00:38,430 bulbs on we're at the highest energy states, all four light 2404 03:00:38,430 --> 03:00:40,890 bulbs have the lowest lowest energy state, and then their, 2405 03:00:41,100 --> 03:00:43,650 their states in between. First we'll look at the state where 2406 03:00:43,680 --> 03:00:48,510 there are none on they're all off. So the probability is one over 16. 2407 03:00:48,510 --> 03:00:52,860 Because there are two to the fourth ways we can have these 2408 03:00:52,860 --> 03:00:56,580 light bulbs, either on off or somewhere in between. This gives 2409 03:00:56,580 --> 03:01:00,450 us an entropy of zero because since there's only one way the 2410 03:01:00,450 --> 03:01:04,770 natural log of one is zero, when there's one on, there are four 2411 03:01:04,770 --> 03:01:09,510 possible states, any one of the lights can be turned on, when all 2412 03:01:09,510 --> 03:01:13,320 the restaurants, so there's four possible ways, looking at the rest 2413 03:01:13,320 --> 03:01:18,000 of them, to on has the most possible states for the highest 2414 03:01:18,000 --> 03:01:22,620 probability, and also the highest entropy, three on goes back to the 2415 03:01:22,620 --> 03:01:27,870 situation of one on. So it is the same entropy and four on is the 2416 03:01:27,870 --> 03:01:31,620 same as none on as far as the fact there's only one way we can do 2417 03:01:31,620 --> 03:01:35,250 this. So it also has zero entropy. There's a formula for the number 2418 03:01:35,250 --> 03:01:40,200 of ways. And this formula says that we take the capital N which 2419 03:01:40,200 --> 03:01:43,140 is the number of lightbulbs molecules, whatever particles 2420 03:01:43,140 --> 03:01:46,530 there are in the system, and in this case, there's two different 2421 03:01:46,530 --> 03:01:50,520 social situations offer on the number of lightbulbs that are in 2422 03:01:50,520 --> 03:01:52,800 the optician and the number of light bulbs that are in the on 2423 03:01:52,800 --> 03:01:53,280 position, 2424 03:01:53,850 --> 03:01:58,410 the different states represent a gradient from inequality to 2425 03:01:58,410 --> 03:02:03,780 equality. Together, the temporal asymmetry and spatial asymmetry 2426 03:02:03,810 --> 03:02:08,490 neutralized over a period of time as a positive change in entropy. 2427 03:02:09,960 --> 03:02:14,160 The mechanism for initiating time evolution is the cause for the 2428 03:02:14,160 --> 03:02:19,200 curvature of space time. This can be expressed through an inequality 2429 03:02:19,230 --> 03:02:25,440 of rate between A and B, where the rate relative to a is a head of 2430 03:02:25,440 --> 03:02:30,300 the rate relative to B, and the rate relative to B is behind the 2431 03:02:30,300 --> 03:02:35,730 rate relative to a, the inequality between rates has an inversely 2432 03:02:35,730 --> 03:02:39,660 proportional relationship with the difference in passage of time 2433 03:02:39,660 --> 03:02:46,080 components between A and B, B is more massive than a therefore B 2434 03:02:46,080 --> 03:02:51,330 undergoes a slower rate of the passage of time than a A is less 2435 03:02:51,330 --> 03:02:55,920 massive than B. Therefore, a undergoes a faster rate of the 2436 03:02:55,920 --> 03:03:01,380 passage of time than B. revolving about a common center of mass and 2437 03:03:01,380 --> 03:03:06,870 uniform circular motion is a time reversible process with a constant 2438 03:03:06,870 --> 03:03:12,210 positive change in entropy in the form of linear time, drifting away 2439 03:03:12,240 --> 03:03:16,230 or coming together towards a common center of mass is not a 2440 03:03:16,230 --> 03:03:20,850 time reversible process. Regardless, these processes are 2441 03:03:20,850 --> 03:03:25,110 equivalent to interacting with a force proportional to the mass and 2442 03:03:25,110 --> 03:03:28,470 inversely proportional to the square of the distance between 2443 03:03:28,470 --> 03:03:28,740 them. 2444 03:03:30,780 --> 03:03:36,480 Force ask the question How to space time curve in response to 2445 03:03:36,480 --> 03:03:43,140 matter. Or asked another way, what determines the metric? In the 2446 03:03:43,140 --> 03:03:48,990 Newtonian case, we have Newtonian laws of gravity, they determine 2447 03:03:49,020 --> 03:03:52,890 the gravitational potential, there must be some analog in general 2448 03:03:52,890 --> 03:03:58,080 relativity. This is the path that Einstein took, he was forced to 2449 03:03:59,190 --> 03:04:03,720 modify his thinking about space and time, because he realized 2450 03:04:03,720 --> 03:04:07,260 early on, that a proper description of gravity would 2451 03:04:07,260 --> 03:04:12,360 require curved space time. Really though, what this equation means 2452 03:04:13,140 --> 03:04:16,080 is a set of three equations for each of the components of the 2453 03:04:16,080 --> 03:04:21,660 vector, those would be called the components of F equals MA. The 2454 03:04:21,660 --> 03:04:25,800 masses again cancel because of the Galilean equivalence of inertial 2455 03:04:26,070 --> 03:04:31,800 and gravitational masses. A four vector is a tensor with one index. 2456 03:04:33,000 --> 03:04:36,900 The metric itself is a tensor. Hi, 2457 03:04:37,140 --> 03:04:40,080 I'm Dan fleisch. What's a tensor? 2458 03:04:40,590 --> 03:04:43,650 If you've taken any college level physics or engineering, you 2459 03:04:43,650 --> 03:04:47,790 probably think about vector as something like this, and the arrow 2460 03:04:47,850 --> 03:04:52,140 representing a quantity that has both magnitude and direction. But 2461 03:04:52,140 --> 03:04:57,810 vectors can represent other things as well, such as an area, you 2462 03:04:57,810 --> 03:05:02,130 simply make the length of the vector proportional to the amount 2463 03:05:02,310 --> 03:05:05,460 of the area and then you make the direction of the arrow 2464 03:05:05,550 --> 03:05:10,110 perpendicular to the surface vectors are members of a wider 2465 03:05:10,110 --> 03:05:13,230 class of object called tensors. And the thing to remember about 2466 03:05:13,230 --> 03:05:17,100 coordinate systems is they come along with coordinate basis 2467 03:05:17,100 --> 03:05:20,430 vectors. The thing to remember about these little guys is they 2468 03:05:20,430 --> 03:05:25,560 have a length of one, one what one of whatever the units are that 2469 03:05:25,560 --> 03:05:28,740 you're going to express the length of your vector in, that's the x 2470 03:05:28,740 --> 03:05:32,970 hat unit vector, it points in the direction of increasing x 2471 03:05:32,970 --> 03:05:36,630 coordinate, the Y hat, sometimes called the j hat unit vector 2472 03:05:36,750 --> 03:05:40,950 points in the direction of increasing y, the Z hat, or K, 2473 03:05:40,950 --> 03:05:45,600 that unit vector points in the direction of increasing z. Now 2474 03:05:45,600 --> 03:05:49,740 you're in a position to find the components of your vector, how 2475 03:05:49,740 --> 03:05:55,170 many x hat or i hat unit vectors, and how many y hat or j hat unit 2476 03:05:55,170 --> 03:05:58,860 vectors would it take to get from the base to the tip of this 2477 03:05:58,860 --> 03:06:04,980 vector. So in other words, this vector is made up of four 2478 03:06:05,340 --> 03:06:06,750 of these 2479 03:06:07,890 --> 03:06:15,150 plus three of these, if you want to be complete, since there's no z 2480 03:06:15,150 --> 03:06:17,820 component to this vector, zero. 2481 03:06:20,310 --> 03:06:24,420 Of these, this is a perfectly 2482 03:06:24,420 --> 03:06:27,630 valid representation of that vector, put a nice set of 2483 03:06:27,630 --> 03:06:31,890 parentheses around them. This looks just like the way you see 2484 03:06:31,890 --> 03:06:36,990 column vectors written, we can replace these components with ace 2485 03:06:36,990 --> 03:06:45,030 of x, a sub y, and a sub z. This is what makes vectors tensors of 2486 03:06:45,030 --> 03:06:50,880 rank one, one index one basis vector per component, this is a 2487 03:06:50,880 --> 03:06:54,780 representation of a rank two tensor in three dimensional space, 2488 03:06:55,140 --> 03:06:58,740 the competence no longer have a single index, they have two 2489 03:06:58,740 --> 03:07:03,870 indices. Consider, for example, the forces inside a solid object. 2490 03:07:04,200 --> 03:07:08,010 Inside that object, you can imagine surfaces whose area 2491 03:07:08,010 --> 03:07:14,730 vectors point in the x, or in the Y, or in the z direction. And on 2492 03:07:14,730 --> 03:07:18,690 each of those types of surface, there might be a force that has a 2493 03:07:18,690 --> 03:07:24,360 component in the x, or in the Y, or in the z direction. So to fully 2494 03:07:24,360 --> 03:07:28,050 characterize all the possible forces on all the possible 2495 03:07:28,050 --> 03:07:33,360 surfaces, you need nine components, each with two indices 2496 03:07:33,480 --> 03:07:39,390 referring to basis factors. All observers in all reference frames 2497 03:07:39,510 --> 03:07:44,700 agree, not on the basis factors, not only components, but um, the 2498 03:07:44,700 --> 03:07:50,340 combination of components and basis factors. The reason for that 2499 03:07:50,550 --> 03:07:54,870 is that the basis vectors transform one way between 2500 03:07:54,900 --> 03:07:59,430 reference frames, and the components transform in just such 2501 03:07:59,430 --> 03:08:03,510 a way, so as to keep the combination of components and 2502 03:08:03,510 --> 03:08:06,900 basis vectors, the same for all observers, 2503 03:08:08,070 --> 03:08:12,930 the metric coefficients, they form a tensor. And so sometimes we talk 2504 03:08:12,930 --> 03:08:16,800 about the metric tensor. Other times we talk about the metric as 2505 03:08:16,800 --> 03:08:21,000 being this equation, it is though, completely analogous to the 2506 03:08:21,000 --> 03:08:25,710 differential form of the gravity equation, the only thing different 2507 03:08:25,740 --> 03:08:32,100 is that factor of two on the right hand side. And this object called 2508 03:08:32,160 --> 03:08:40,230 team unit, energy is part of what's called the energy momentum 2509 03:08:40,230 --> 03:08:45,210 for vector whose elements are the energy and the momentum of a 2510 03:08:45,210 --> 03:08:52,260 particle. But this energy density is not the same as energy it is 2511 03:08:52,260 --> 03:08:57,510 energy per unit volume. So in a moving frame, if the momentum 2512 03:08:58,110 --> 03:09:07,260 equals zero in frame S, then in S prime, u prime is equal to gamma 2513 03:09:07,260 --> 03:09:12,810 squared times u, where this gamma is the famous Lorentz Factor, one 2514 03:09:12,810 --> 03:09:17,130 over the square root of one minus beta squared. In a local lorenc 2515 03:09:17,130 --> 03:09:23,160 frame, this matrix team you knew it's a four by four matrix. I can 2516 03:09:23,160 --> 03:09:33,450 split it up into pieces, where 00 components this would be 01230123, 2517 03:09:33,750 --> 03:09:38,160 labeling the rows and columns of the matrix. The 00 component is 2518 03:09:38,160 --> 03:09:44,580 the energy density. This component is the momentum density, the three 2519 03:09:44,580 --> 03:09:53,160 components along the top row and also along the column. I mentioned 2520 03:09:53,160 --> 03:09:56,790 density, and then there's a three by three part in the middle that 2521 03:09:56,790 --> 03:10:04,350 is called the stress tensor. The components of this stress tensor 2522 03:10:04,350 --> 03:10:09,870 include very importantly, pressure. It's a three by three 2523 03:10:09,870 --> 03:10:15,330 matrix whose diagonal elements are pressure. Why should pressure 2524 03:10:15,330 --> 03:10:23,010 appear here? Well look at the energy density. That's energy per 2525 03:10:23,010 --> 03:10:29,160 unit volume, energy, momentum, and pressure, participate in the 2526 03:10:29,310 --> 03:10:33,570 requirements for energy conservation. This Einstein tensor 2527 03:10:34,140 --> 03:10:51,750 is up to trivial redefinitions. The only tensor that is linear in 2528 03:10:51,780 --> 03:10:56,640 the second partial derivatives of the metric coefficients, first 2529 03:10:56,640 --> 03:10:59,250 derivative tells you the slope, second derivative tells you about 2530 03:10:59,250 --> 03:11:04,350 the curvature. Here you see the second derivatives of the metric. 2531 03:11:05,130 --> 03:11:11,070 If I take the second partial derivatives of this object, the 2532 03:11:11,070 --> 03:11:15,390 set of partial derivatives I have here in these parentheses, in the 2533 03:11:15,480 --> 03:11:19,770 week field limit, Einstein field equations exactly reproduce the 2534 03:11:19,770 --> 03:11:23,730 Newtonian equation for the gravitational potential, they do 2535 03:11:23,730 --> 03:11:29,850 so, with the implication with the cost, that the time part of the 2536 03:11:29,850 --> 03:11:33,690 metric, this is the thing that multiplies the dt squared is not 2537 03:11:33,690 --> 03:11:42,240 one. But it's one plus two, five. And that means that time is 2538 03:11:42,300 --> 03:11:50,520 worked. This is the weak field limit of general relativity. All 2539 03:11:50,520 --> 03:11:54,540 of Newtonian gravity that we're familiar with, comes from work 2540 03:11:54,570 --> 03:11:59,100 time from the time factor in the metric. All the popular discussion 2541 03:11:59,100 --> 03:12:03,960 of black holes is associated with the work with the curved space and 2542 03:12:03,960 --> 03:12:07,740 these funnel embedding diagrams. And, you know, we spent so much 2543 03:12:07,740 --> 03:12:12,000 time already with a spatial curvature, it's the time part of 2544 03:12:12,000 --> 03:12:17,430 the metric that tells bodies how to fall in a gravitational field. 2545 03:12:18,540 --> 03:12:21,240 And that's what the Einstein equations are all about. 2546 03:12:22,860 --> 03:12:26,940 After a brief examination of Einstein's field equations, we 2547 03:12:26,940 --> 03:12:31,230 find a familiar theme. The left handed side of the expression 2548 03:12:31,230 --> 03:12:35,250 corresponds with the curvature of space time, and the right handed 2549 03:12:35,250 --> 03:12:39,420 side of the expression corresponds with the matter energy content of 2550 03:12:39,420 --> 03:12:43,290 space time, we can apply the new equivalence principle and the 2551 03:12:43,290 --> 03:12:48,030 generator for time evolution to Einstein's field equation, let the 2552 03:12:48,030 --> 03:12:51,510 initial and final states have an inversely proportional 2553 03:12:51,510 --> 03:12:57,030 relationship, focusing on one side at a time, for simplicity, let the 2554 03:12:57,030 --> 03:13:01,200 speed of light equal one. Since eight pi is conventional for 2555 03:13:01,200 --> 03:13:05,460 radian measurement, we can ignore it as well for both curved space 2556 03:13:05,460 --> 03:13:09,900 time and the corresponding inertial mass. Since the 2557 03:13:09,900 --> 03:13:15,300 gravitational stress energy reduces to zero locally, cross 2558 03:13:15,300 --> 03:13:19,350 conjugation can be expressed through the product of the stress 2559 03:13:19,380 --> 03:13:24,720 energy tensor with its inverse transpose or orthogonal matrix, 2560 03:13:25,200 --> 03:13:29,550 the moment of inertia tensor. What about big g? 2561 03:13:30,509 --> 03:13:35,099 One of my favorite scientists is Henry Cavendish, towards the end 2562 03:13:35,099 --> 03:13:40,559 of his life, he did a crucial experiment, he had a big garden 2563 03:13:40,559 --> 03:13:46,079 shed, and in it, he had to lead balls like this suspended from the 2564 03:13:46,079 --> 03:13:50,609 ceiling, only this is not to scale. This is I mean, led balls. 2565 03:13:50,789 --> 03:13:54,029 So he had a, an aperture place where you look through and he put 2566 03:13:54,029 --> 03:13:57,359 a telescope out there staring through the window to take his 2567 03:13:57,359 --> 03:14:01,979 measurements over a year, there's another set of LED balls inside 2568 03:14:01,979 --> 03:14:05,759 there, this experiment really is very difficult to get to work in a 2569 03:14:05,759 --> 03:14:10,049 technician is sorted apart. So because he got so frustrated, so 2570 03:14:10,049 --> 03:14:13,109 you'd set it up like this in his shed, 2571 03:14:14,370 --> 03:14:18,360 and you put it like that, and this lead ball would attract that lead 2572 03:14:18,360 --> 03:14:20,160 ball, and this lead ball would attract 2573 03:14:20,220 --> 03:14:23,280 this one. And so, it will be pushed a little bit this way and 2574 03:14:23,280 --> 03:14:25,530 twist the wire and that will be pushed a little bit that way and 2575 03:14:25,530 --> 03:14:28,350 the wire would twist and twist the mirror, which is which was a 2576 03:14:28,350 --> 03:14:30,600 little bit and light which comes in the reflected off in a slightly 2577 03:14:30,600 --> 03:14:31,650 different angle. And we have to do with me. 2578 03:14:34,470 --> 03:14:37,470 This is a very complicated technical thing for the time, 2579 03:14:38,310 --> 03:14:43,560 that way Now, the other way. And from that get the all the 2580 03:14:43,560 --> 03:14:44,850 properties of the torsional constant. 2581 03:14:45,180 --> 03:14:49,320 And that enabled him to measure big g the gravitational constant 2582 03:14:49,320 --> 03:14:55,140 to an accuracy of 1%. And nobody improved on that for 100 years. 2583 03:14:55,500 --> 03:14:59,640 And that quantity is essentially b g 2584 03:15:00,900 --> 03:15:04,560 Since we don't know for certain whether big G is a constant or 2585 03:15:04,560 --> 03:15:09,870 variable, we will substitute alpha for G initial over g final, where 2586 03:15:09,870 --> 03:15:14,880 when alpha equals one, or G initial over g final times its 2587 03:15:14,880 --> 03:15:19,800 transpose inverse equals one, and alpha is a running coupling 2588 03:15:19,800 --> 03:15:24,540 constant. by expressing the stress energy tensor and the moment of 2589 03:15:24,540 --> 03:15:28,770 inertia tensor in a diagonal matrix form and multiplying them 2590 03:15:28,770 --> 03:15:33,750 together, we get the following scalar matrix. Likewise, if we 2591 03:15:33,750 --> 03:15:37,230 examine the left side of the equation, we see a familiar 2592 03:15:37,230 --> 03:15:43,380 concept. We will associate the cosmological constant in this form 2593 03:15:43,710 --> 03:15:48,900 with use star and substitute the Einstein tensor with the identity 2594 03:15:48,900 --> 03:15:54,540 constant expressed in matrix form. The inverse transpose relationship 2595 03:15:54,570 --> 03:16:00,270 between n star minus AI and AI m minus u star always disappears 2596 03:16:00,270 --> 03:16:05,430 locally in any particular frame at any specific point, and it can 2597 03:16:05,430 --> 03:16:10,770 only be expressed non locally as a quotient of nonzero numbers. 2598 03:16:11,190 --> 03:16:17,280 However, if we let n star minus i equal i minus u star, where both 2599 03:16:17,310 --> 03:16:21,930 are some discrete amount, since alpha is an adjustable coupling 2600 03:16:21,930 --> 03:16:27,180 constant, we can let it equal one for the unitary case, square both 2601 03:16:27,180 --> 03:16:32,400 sides and get the identity matrix. Nonetheless, there are two cross 2602 03:16:32,400 --> 03:16:37,590 conjugate pairs and both must be accounted for. We end up with two 2603 03:16:37,590 --> 03:16:42,180 skewed or anti symmetric matrices with a cross symmetrical 2604 03:16:42,180 --> 03:16:47,220 relationship as a commutative ring. When the adjustable coupling 2605 03:16:47,220 --> 03:16:50,730 constant is negative, it represents the exclusion 2606 03:16:50,730 --> 03:16:54,930 principle. When the adjustable coupling constant is positive, it 2607 03:16:54,930 --> 03:16:59,040 represents the inclusion principle. These two metrics 2608 03:16:59,070 --> 03:17:04,380 represent any pair of oscillating pseudo scalars. orienting slightly 2609 03:17:04,380 --> 03:17:08,490 out of phase can a variable coupling constant change 2610 03:17:08,490 --> 03:17:12,780 proportionally or inversely proportionally with both metrics 2611 03:17:12,780 --> 03:17:16,770 so that the field strength scale and range can be fixed to a 2612 03:17:16,770 --> 03:17:20,910 specific set of values. The relationship between different 2613 03:17:20,910 --> 03:17:24,660 rates or the passage of time corresponds with the beta function 2614 03:17:24,900 --> 03:17:28,350 and all of the other coupling constants in the same way that the 2615 03:17:28,350 --> 03:17:32,250 generator for time evolution works within the three dimensional time 2616 03:17:32,250 --> 03:17:36,720 loop. The universality between thermodynamics and temporal 2617 03:17:36,720 --> 03:17:40,590 mechanics can reduce the fundamental forces of nature into 2618 03:17:40,590 --> 03:17:45,000 a single expression, and new equivalence principle which can be 2619 03:17:45,000 --> 03:17:49,260 used as the generator for the evolution of time. If the 2620 03:17:49,260 --> 03:17:52,890 necessary equivalences can be worked out between these two 2621 03:17:52,890 --> 03:17:57,390 expressions, then we finally have a unified field equation that 2622 03:17:57,390 --> 03:18:01,380 accounts for the fundamental forces of nature. It appears that 2623 03:18:01,380 --> 03:18:05,670 the subtle adjustments made the time evolution using equivalences 2624 03:18:05,670 --> 03:18:09,540 between thermodynamics and three dimensional time and applying it 2625 03:18:09,540 --> 03:18:13,410 to physics unlocks the mystery surrounding inertial mass 2626 03:18:13,530 --> 03:18:19,020 gravitation and how they relate to quantum mechanics. So, where does 2627 03:18:19,020 --> 03:18:20,070 this lead us? 2628 03:18:21,330 --> 03:18:26,670 In beginnings, there is light or is it the ending? How do things 2629 03:18:26,670 --> 03:18:31,470 begin or end in three dimensional time, the relationship of the time 2630 03:18:31,470 --> 03:18:34,710 loop with the uncertainty principle has an interesting 2631 03:18:34,710 --> 03:18:39,870 consequence. At the smallest scale possible for quantum fluctuations 2632 03:18:39,870 --> 03:18:44,370 the inner and outsides of the time loop become indistinguishable, and 2633 03:18:44,370 --> 03:18:48,810 there is a superposition of both coming out of and going back into 2634 03:18:48,810 --> 03:18:54,180 the vacuum, which can be expressed through a complex unit circle, at 2635 03:18:54,180 --> 03:18:58,290 a fundamental level, coming into existence and going out of 2636 03:18:58,290 --> 03:19:01,980 existence becomes indistinguishable. Yet we see 2637 03:19:01,980 --> 03:19:06,540 things coming and going out of existence all of the time. Or do 2638 03:19:06,540 --> 03:19:11,550 we? In actuality, we are watching transformations from one form of 2639 03:19:11,550 --> 03:19:15,720 existence into another, preserving not only the conservation of 2640 03:19:15,720 --> 03:19:19,950 energy, but preserving the conservation of information. There 2641 03:19:19,950 --> 03:19:23,910 is no big bang and existence emerges from the vacuum through 2642 03:19:23,910 --> 03:19:29,400 minimal quantum fluctuations. But how does it work? Let's consider 2643 03:19:29,400 --> 03:19:35,460 two forms of creation soft and hard. Hard creation involves Big 2644 03:19:35,460 --> 03:19:39,900 Bang such as supernova or high energy particle collisions. For 2645 03:19:39,900 --> 03:19:44,220 the most part, modern cosmology assumes hard creation as the 2646 03:19:44,220 --> 03:19:48,450 primary source of the universe. On the other hand, consider the 2647 03:19:48,450 --> 03:19:53,460 possibility of soft creation creation involving condensations 2648 03:19:53,490 --> 03:19:58,350 over a variety of periods of time. Suppose the creation happens 2649 03:19:58,350 --> 03:20:02,400 through multiple facets. possibly even different for different types 2650 03:20:02,400 --> 03:20:03,240 of particles. 2651 03:20:03,900 --> 03:20:07,980 Keeping the universe very, very smooth at early times is not easy. 2652 03:20:07,980 --> 03:20:11,430 It's a delicate arrangement. It's a clue that the early universe is 2653 03:20:11,430 --> 03:20:14,550 not chosen randomly. There was something that made it that way, 2654 03:20:14,550 --> 03:20:18,210 we would like to know what this insight that entropy increases, by 2655 03:20:18,210 --> 03:20:22,050 the way, is what's behind what we call the arrow of time. Boltzmann 2656 03:20:22,050 --> 03:20:25,260 explained that if you start with low entropy, it's very natural for 2657 03:20:25,260 --> 03:20:29,160 to increase because there's more ways to be high entropy. What he 2658 03:20:29,160 --> 03:20:33,780 didn't explain was why the entropy was ever low in the first place, 2659 03:20:33,810 --> 03:20:37,260 we'd like to understand that unfortunately, it's actually not a 2660 03:20:37,260 --> 03:20:40,020 problem that we've been giving enough attention to the reason the 2661 03:20:40,020 --> 03:20:44,430 problem has gotten worse, rather than better, is because in 1998, 2662 03:20:44,430 --> 03:20:47,310 we learned something crucial about the universe that we didn't know 2663 03:20:47,310 --> 03:20:51,090 before, we learned that it's accelerating space may be finite 2664 03:20:51,090 --> 03:20:53,910 or infinite. But because the universe is accelerating, there 2665 03:20:53,910 --> 03:20:57,930 are parts of it we cannot see and never will see, there's a finite 2666 03:20:57,930 --> 03:21:01,170 region of space that we have access to surrounded by a horizon. 2667 03:21:01,290 --> 03:21:04,980 So even though time goes on forever, Space is limited to us. 2668 03:21:05,100 --> 03:21:10,200 empty space has a temperature, some thermal fluctuations, even an 2669 03:21:10,200 --> 03:21:14,760 empty space. So what this means that the universe is like a box of 2670 03:21:14,760 --> 03:21:18,690 gas that lasts forever. So Boltzmann says, look, you could 2671 03:21:18,690 --> 03:21:22,380 start with a universe that was in thermal equilibrium, he didn't 2672 03:21:22,380 --> 03:21:24,450 know about the Big Bang, he didn't know about the expansion of the 2673 03:21:24,450 --> 03:21:27,300 universe, here, Boltzmann, you know that if you wait long enough, 2674 03:21:27,450 --> 03:21:31,080 the random fluctuations of those molecules will occasionally bring 2675 03:21:31,080 --> 03:21:34,470 them into lower entropy configurations. And then of 2676 03:21:34,470 --> 03:21:37,530 course, in the natural course of things, they will expand back. 2677 03:21:37,740 --> 03:21:40,830 Well, if that's true, Boltzmann then goes on to invent two very 2678 03:21:40,830 --> 03:21:44,250 modern sounding ideas, the multiverse and the anthropic 2679 03:21:44,250 --> 03:21:47,520 principle, if you imagine a very, very big universe and infinitely 2680 03:21:47,520 --> 03:21:51,030 big universe, with randomly bumping into each other particles, 2681 03:21:51,210 --> 03:21:53,940 there will occasionally be small fluctuations in the lower entropy 2682 03:21:53,940 --> 03:21:56,880 states, and then they relax back. But there will also be large 2683 03:21:56,880 --> 03:22:01,410 fluctuations. Occasionally, you will make a planet or a star, or a 2684 03:22:01,410 --> 03:22:08,490 galaxy, or 100 billion galaxies. So this scenario makes predictions 2685 03:22:08,550 --> 03:22:11,850 and the predictions are that the fluctuations that make us are 2686 03:22:11,850 --> 03:22:15,330 minimal. The universe is not a fluctuation. Why did the early 2687 03:22:15,330 --> 03:22:18,990 universe have a low entropy here is the universe that we tell you 2688 03:22:18,990 --> 03:22:21,720 about versus the universe that really exists. I just showed you 2689 03:22:21,720 --> 03:22:24,270 this picture, the universe is expanding for last 10 billion 2690 03:22:24,270 --> 03:22:27,810 years or so it's cooling off. But we now know enough about the 2691 03:22:27,810 --> 03:22:31,170 future of the universe to say a lot more if the dark energy 2692 03:22:31,200 --> 03:22:35,220 remains around, we will live in a universe with nothing in it. But 2693 03:22:35,220 --> 03:22:40,290 black holes, that universe will last 10 to the 100 years, the 2694 03:22:40,290 --> 03:22:43,710 future is much longer than the past. But even black holes don't 2695 03:22:43,710 --> 03:22:46,560 last forever, they will evaporate, and we will be left with nothing 2696 03:22:46,560 --> 03:22:51,150 but empty space. that empty space lasts essentially forever. 2697 03:22:51,840 --> 03:22:55,080 However, you notice that since empty space gives off radiation, 2698 03:22:55,110 --> 03:22:58,140 there's actually thermal fluctuations, and it cycles around 2699 03:22:58,380 --> 03:23:02,100 all the different possible combinations of the degrees of 2700 03:23:02,100 --> 03:23:05,820 freedom that exist in empty space. If the universe last for 10, to 2701 03:23:05,820 --> 03:23:10,260 the 10 to the 120 years. Why are we born in the first 14 billion 2702 03:23:10,260 --> 03:23:13,770 years, or maybe the Big Bang is not the beginning. 2703 03:23:15,750 --> 03:23:20,400 A great cosmic Carlo cycle with a leading edge of a universal 2704 03:23:20,430 --> 03:23:25,080 Mirage, and you find it interesting, it is supergiants 2705 03:23:25,590 --> 03:23:27,630 on this end over here, 2706 03:23:27,660 --> 03:23:32,250 okay, we have our white tours over here, your relationship in star 2707 03:23:32,250 --> 03:23:34,290 formation toe to the process 2708 03:23:34,290 --> 03:23:35,400 between white dogs. 2709 03:23:35,760 --> 03:23:36,780 And supergiants is 2710 03:23:36,780 --> 03:23:40,470 very related. It's almost suggestive to me 2711 03:23:40,980 --> 03:23:44,340 as though there's like a double helix pattern to star 2712 03:23:44,340 --> 03:23:45,840 formation suggesting 2713 03:23:45,840 --> 03:23:47,970 somehow that this is a repeating cycle 2714 03:23:48,060 --> 03:23:48,420 with 2715 03:23:49,560 --> 03:23:52,080 an x cross section, it could 2716 03:23:52,080 --> 03:23:54,690 be a cross section, which could 2717 03:23:54,690 --> 03:23:56,250 possibly be indicative, 2718 03:23:56,520 --> 03:23:59,310 or time dimensions. That's right, 2719 03:23:59,310 --> 03:24:01,440 if you rotate out here, and some other guy would be in some other 2720 03:24:01,440 --> 03:24:02,730 dimension, almost as if 2721 03:24:02,730 --> 03:24:06,540 maybe those pays out at some point during the right doors. 2722 03:24:11,070 --> 03:24:11,820 Down here again, you 2723 03:24:11,820 --> 03:24:12,540 see so it's like 2724 03:24:12,540 --> 03:24:15,870 the link is the link between a pair down here. 2725 03:24:16,770 --> 03:24:17,610 And they say these just 2726 03:24:22,380 --> 03:24:26,850 from the smallest to the largest. The Universal emerges through 2727 03:24:26,850 --> 03:24:31,680 upwelling from the infinite tasmac depths of quantum fluctuations, 2728 03:24:31,890 --> 03:24:36,300 and cataclysmic eruptions, alga mating through a variety of 2729 03:24:36,300 --> 03:24:43,140 entropic cycles of temporal loops. Dark Matter undergoes a slow rate 2730 03:24:43,140 --> 03:24:48,360 of the passage of time, relative to visible matter. And dark energy 2731 03:24:48,390 --> 03:24:52,290 undergoes a faster rate of the passage of time relative to 2732 03:24:52,290 --> 03:24:57,300 visible metal. The interface of cross conjugate pairs through 2733 03:24:57,300 --> 03:25:01,440 identity crises on the quantum field lab corresponds with the 2734 03:25:01,440 --> 03:25:05,880 same proportionality, as the interface of dark energy to dark 2735 03:25:05,880 --> 03:25:08,580 matter on the gravitational field scale.