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Brian Keating
00:00:00 - 00:00:02
The great nap is now over.
Brian Keating
00:00:03 - 00:00:07
Eric Weinstein is one of the most revered thinkers of our generation.
Eric Weinstein
00:00:08 - 00:00:42
Right now, where we are is four light years from the nearest star. There is no way to get to the speed of light or even close. We are marooned in our solar system with only two habitable rocks that aren't the earth and that's with a lot of work. The problem is that the culmination of all human theory about the base reality stagnated abruptly and mysteriously in 1973. Imagine that physics stopped when crocodile rock was top of the charts. The field is not producing new results. This is also terrible, but it turns wonderful because if we can find the problem, we can make progress and reach the stars.
Brian Keating
00:00:42 - 00:01:22
In today's talk, you're about to witness an update to his groundbreaking theory first presented at Oxford in 2013. This lecture was held live at the UC San Diego Physics Department in the Mayor Room in April of twenty twenty five at UCSD's prestigious Astroparticle Cosmology Cinema. Here, one of the most brilliant mathematical physicists of our time presents his revolutionary theory of everything to an audience of odd skeptics and supporters. Can geometric unity actually solve the deepest mysteries of our universe? Or will it join a host of others who have tried in the past unsuccessfully to create a new unified theory?
Brian Keating
00:01:22 - 00:02:05
Thank you guys so much. What I wanted to talk about is the cosmological sector has a very different character than either the general relativistic attempted an equation for for the gravitational field, or the standard model because, in essence, the standard model got codified in Arasmanian bundle theoretic geometry. So only the Higgs sector sort of has this kind of hobbyist flavor. Everything else is pretty much kind of, locked in. So what I have is three basic equations. The central one is from geometric unity. This is the bosonic part. This is the fermionic part.
Eric Weinstein
00:02:05 - 00:03:05
My, difficulty with this field concerns the bottom equation, which in 1987 or thereabouts was called insufficiently nonlinear. It later became sufficiently unlinear in 1994 when Ed Whitton and Nattie Seiberg did it. And on top, I have the Einstein field equations. So what I wanna talk about is the fact that we can't continue with dark energy as a constant lambda times the metric just for the purpose of maintaining divergence free across the various terms of the equation. In case any of you have to leave early, my claim is is that this is going to end up as the formula for dark energy, what currently is lambda times g mu nu. Epsilon sub omega is gonna be a gauge transformation. This is gonna be an exterior derivative minimally coupled to a connection that will come from something called alpha. And this is actually a pi, which we don't use all that much, which is an add valued one form or a gauge potential.
Eric Weinstein
00:03:06 - 00:04:08
So, basically, this whole thing is gonna live in add valued one forms, and it's gonna replace the cosmological constant times the metric. And you have to ask yourself on what kind of a gadget does that live. So the claim is that what we're going to be doing is taking a semi direct product. So if you are familiar with the Poincare group, think about the group of gauge transformations as what the Lorentz group always wanted to be, and the space of add valued one forms or gauge potentials being the natural, linear space upon which an affine space of connections is modeled. So that'll be playing the role of the four momenta. So the idea is that you form the semi direct product as a group to begin with. That object seems to be wildly understudied, which I find very strange. And if you have a single connection, you can push it around either by gauge transformations or you can push it around by adding gauge potentials to it.
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