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John Baez (Dec 17 2020 at 06:27):I wrote a blog post about Jordan algebras, their symmetry groups, their invariant structures - and how they connect quantum mechanics, special relativity and projective geometry:
John van de Wetering (Dec 17 2020 at 15:40):Is your plan to eventually combine all these blog posts into a review article? I think it would make for a good read!
John Baez (Dec 17 2020 at 20:23):Thanks! I would like to do that. I may need to rearrange and polish them. Right now there's something strange about them: I state a theorem about how to get the Standard Model gauge group sitting inside , but instead of proving it I go into a very long discussion (5 posts so far) about how to understand and and their relation to 10-dimensional Minkowski spacetime. This long discussion should eventually help prove that theorem... but it's taking on a life of its own.
I think by the end of this series I'll understand everything better and be able to organize the material better.