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A Portal Special Presentation- Geometric Unity: A First Look (edit)

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==== Matter in Unified Field Content ====
==== Matter in Unified Field Content ====
[02:03:53] So, we've got one more unit to go. I mean, there's a fifth unit that has to do with mathematical applications, but this is sort of a physics talk for today. Is there any questions before we go into the last unit and then really handle questions for real? All right, let me show you the next little bit.


[02:04:18] We've got problems. We're not in four dimensions. We're in 14. We don't have great field content because we've just got these unadorned spinors, and we're doing gauge transformations effectively on the intrinsic geometric quantities, not on some safe auxiliary data that's tensor product with what are spinors are. How is it that we're going to find anything realistic? And then we have to remember everything we've been doing recently has been done on $$U$$.
''[https://youtu.be/Z7rd04KzLcg?t=7433 02:03:53]''<br>
So, we've got one more unit to go. I mean, there's a fifth unit that has to do with mathematical applications, but this is sort of a physics talk for today. Is there any question before we go into the last unit and then really handle questions for real? All right, let me show you the next little bit.


[02:04:55] We've forgotten about $$X$$. Okay. How does all of this look to $$X$$?
''[https://youtu.be/Z7rd04KzLcg?t=7458 02:04:18]''<br>
We've got problems. We're not in four dimensions, we're in 14. We don't have great field content because we've just got these unadorned spinors, and we're doing gauge transformations effectively on the intrinsic geometric quantities, not on some safe auxiliary data that's tensor producted with what our spinors are. How is it that we're going to find anything realistic? And then we have to remember everything we've been doing recently has been done on \(U\). We've forgotten about \(X\). How does all of this look to \(X\)?


[02:05:04] So is sitting down here and all the action is happening up here on $$U^{14}$$ there's a projection operator. I've used $$\pi$$ twice. It's not the field content here, just the projection. And I've got a $$\sigma$$, which is a section.
[[File:GU Presentation Zeta Nu Pullback.png|thumb|right]]


[02:05:27] What does $$\zeta$$ pulled back or $$\nu$$ pulled back look like on $$X^4$$.
''[https://youtu.be/Z7rd04KzLcg?t=7504 02:05:04]''<br>
So \(X\) is sitting down here, and all the action is happening up here on \(U^{14}\). There's a projection operator—I've used \(\pi\) twice, it's not, here, the field content, it's just projection. And I've got a \(\sigma\), which is a section. What does \(\zeta\) pulled back or \(\nu\) pulled back look like on \(X^4\)?


[02:06:05] Okay, let's try to think about how we would come up with this field content starting from first principles. Let's imagine that there's nothing to begin with.
[[File:GU Oxford Lecture First Generation Slide.png|thumb|right]]


[02:06:21] Then, you have one copy of matter, whatever it is that we see in our world: the first generation. In order for that to become interesting, it has to have an equation, so it has to get mapped somewhere. Then, we've seen the muon and all the rest of the matter that comes with it. We have a second generation.
''[https://youtu.be/Z7rd04KzLcg?t=7565 02:06:05]''<br>
Okay. Let's try to think about how we would come up with this field content starting from first principles. Let's imagine that there's nothing to begin with. Then you have one copy of matter: whatever it is that we see in our world, the first generation. In order for that to become interesting, it has to have an equation, so it has to get mapped somewhere.


[02:06:44] Then in the mid-1970s [Martin Lewis] Perl finds the tau particle and we start to get panicked that we don't understand what's going on. One thing we can do is we could move these equations around a little bit and move the equation for the first generation back, and then we can start adding particles. Let's imagine that we could guess what particles we would add.
[[File:GU Oxford Lecture Second Generation Slide.png|thumb|right]]
 
''[https://youtu.be/Z7rd04KzLcg?t=7597 02:06:37]''<br>
Then we see the muon and all the rest of the matter that comes with it, and we have a second generation.
 
[[File:GU Oxford Lecture Third Generation Slide.png|thumb|right]]
 
''[https://youtu.be/Z7rd04KzLcg?t=7604 02:06:44]''<br>
Then in the mid-1970s, [Martin Lewis] Perl finds the tau particle, and we start to get panicked that we don't understand what's going on.
 
===== Third Generation is an Imposter =====


[02:07:10] We'd had a pseudo-generation of 16 particles. Spin 3/2, never before seen. Not necessarily super-partners, Rarita-Schwinger matter with familiar internal quantum numbers, but potentially so that they're flipped so that matter looks like anti-matter to this generation. Then we add just for the heck of it, 144 spin-1/2 fermions, which contain a bunch of particles with familiar quantum numbers, but also some very exotic looking particles that nobody's ever seen before.
[02:07:10] We'd had a pseudo-generation of 16 particles. Spin 3/2, never before seen. Not necessarily super-partners, Rarita-Schwinger matter with familiar internal quantum numbers, but potentially so that they're flipped so that matter looks like anti-matter to this generation. Then we add just for the heck of it, 144 spin-1/2 fermions, which contain a bunch of particles with familiar quantum numbers, but also some very exotic looking particles that nobody's ever seen before.
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