Summary - Video 12/12 скачать в хорошем качестве

Summary - Video 12/12

For theorists, every once in a while, it is worth taking a step back to ask: What is this universe made of, and how does it work? What is my current best guess? In this talk, I will offer for you my personal take on this question. My current best guess sees the world as constructed from algebraic graphs (vielbeins), and nothing more. That is, no additional underlying spacetime, neither continuous nor discrete. In search of a generalization of Conway’s C(x)H Lorentz representations, we examine the multiplication algebra of R(x)C(x)H(x)O. This algebra may be viewed as complex Cl(10), with additional division algebraic substructure. From here, we point out a factorization of complex Cl(10) as Cl(0,8) and complex Cl(2), the two recurring Clifford algebras of real and complex Bott periodicity. We propose the idea of a Bott Periodic Fock space. We capitalize on this aforementioned division algebraic substructure, finding a set of Lie algebras and Jordan algebras that bear a close resemblance to those seen in particle physics. We then propose for them a simple action on Cl(0,8). Under su(3) (+) su(2) (+) u(1) symmetries, we find a set of Z_2-graded states in Cl(0,8) transforming in agreement with 91% of the Standard Model’s unconstrained degrees of freedom. We point to a possibility that the missing 9% may materialize upon the construction of a rudimentary gauge theory. One of the more pertinent characteristics this model is the appearance of a “multiplet mirroring” between three colours and three generations, between two quark helicity states and two su(2)_L isospin states, between two lepton helicity states and two su(2)_R isospin states. We explore the possibility that the colour sector could be intrinsically Lie algebraic, while the electroweak sector could be intrinsically Jordan algebraic. Could this contribute to an explanation for perfectly-preserved and unobservable colour sector on one hand, and the broken, yet observable, electroweak sector on the other?