A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions

<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>[02:06:44] 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>[02:07:46] 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 we've posited rather than simply unifying onto itself. So two of the generations would unify unto themselves, but this third generation would fuse with the new particles that we've already added. We consolidate geometrically. We can add some zero-th order terms, and we imagine that there is an elliptic complex that would govern the state of affairs.

<p>[02:08:36] We then choose to add some stuff that we can't see at all that's dark and this matter would be governed by forces that were dark too. There might be dark electromagnetism and dark-strong, and dark-weak. It might be that things break in that sector completely differently and it doesn't break down to SU(3) cross SU(2) to cross U(1) because these are different SU(3), SU(2), and U(1)s, and it may be that there would be like a high-energy SU(5).

<p>[02:09:05] Or some [[Pati-Salam Model]]. Imagine then that chirality was not fundamental, but it was emergent that you had some complex and as long as they were cross terms, these two halves would talk to each other. But if they cross terms went away, the two terms would become decoupled. And just the way we have a left hand and we have a right hand, and you asked me, right?

<p>[02:09:27] Imagine you have a neurological condition and in an Oliver Sacks sort of idiom. If somebody is only aware of one side of their body and they say, Oh my God, I'm deformed, I'm asymmetric, right? But we actually have a symmetry between the two things that can't see each other,

<p>[02:09:44] then we would still have a chiral world, but the chirality wouldn't be fundamental. There'd be something else keeping the fermions light, and that would be the absence of the cross term. Now, if you look at what happens in our replacement for the Einstein field equation. The term that would counterbalance the scalar curvature.

 

<p>[02:10:02] If you put these equations on a sphere, they wouldn't be satisfied if the T term had a zero expectation value because there would be non-trivial scalar curvature in the swervature terms, but there'd be nothing to counterbalance it. So, it's fundamentally the scalar curvature that would coax the veb[?] on the augmented torsion out of the vacuum.