A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
Revision as of 05:50, 11 April 2020
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===== Part IV ===== | ===== Part IV ===== | ||
<p>[02:04:18] We've got problems. We're not in four dimensions. We're in 14. We don't have great field content | <p>[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 $$U$$. | ||
<p>[02:04: | <p>[02:04:55] We've forgotten about $$X$$. Okay. How does all of this look to $$X$$? | ||
<p>[02:04 | <p>[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. | ||
<p>[02:05: | <p>[02:05:27] What does zeta Pulled back or $$\nu$$ pulled back look like on $$X^4$$. | ||
<p>[02:05 | <p>[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. | ||
<p>[02: | <p>[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. | ||
<p>[02: | <p>[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'd add. | ||
<p>[02:07:10] We'd had a pseudo-generation of 16 particles. Spin three-halves, 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, one half fermions, which contain a bunch of particles with familiar quantum numbers, but also some very exotic looking particles that nobody's ever seen before. | |||
<p>[02:07:10] We'd had a pseudo generation of 16 particles. Spin three halves, never before seen. Not necessarily super partners, | |||
<p>[02:07:46] Now we start doing something different. We make an accusation. One of our generations isn't a regular generation. It's an impostor at low energy in a cooled state. Potentially. It looks just the same as these other generations, but where are we somehow able to turn up the energy? Imagine that it would unify differently with this new matter that | <p>[02:07:46] Now we start doing something different. We make an accusation. One of our generations isn't a regular generation. It's an impostor at low energy in a cooled state. Potentially. It looks just the same as these other generations, but where are we somehow able to turn up the energy? Imagine that it would unify differently with this new matter that | ||