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March 2019

Prismatic Cohomology

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When I was working in Los Angeles last year, my main focus was thinking about motivic cohomology with Michael Rios. Other quantum gravity colleagues were less mathematically inclined, and only Michael and I appreciated the depth of the new theory and its potential for deriving classical spaces. Mike likes to wear Pink Floyd T-shirts with prisms on them, and he put the picture on an arxiv paper some time ago.

This week at UCLA (oh, Los Angeles) a mathematician is talking about a new theory of motivic cohomology, which is called Prismatic Cohomology, after the Pink Floyd album cover (for the Dark Side of the Moon). 

Terence Tao blog post

Columbia lecture notes

Terence Tao links to new seminar notes by anonymous audience members. Take a look.

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As you know, q-deformations are what happens to classical algebras when we go to braided structures. And from quantum gravity, we determined that the cohomology underlies the emergence of coordinates. 


The Electric Universe

I have been enjoying YouTube videos by long term proponents of the Electric Universe theory, who have a good appreciation of the solar and galactic environments, and are generally not afraid to laugh (professionally speaking, not personally) at particle physicists and relativists. This lecture by Bagashov looks at electromagnetic sructures on all scales, starting with the structure of the proton:

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Recall that 1/9 of the proton mass is 1/3 of the dynamical quark mass (which appears in the charged lepton Koide formula), suggesting anyon pairs, as we expect from the braid spectrum. This is close to the mass of the muon. Can our quark anyon be a muon? Leptons inside quarks, quarks inside leptons. Cool.