good examples; it that class it seems important that the test perpetually mutates, so in a sense, it's not "standardized"
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Replying to @DanielleFong
truth. I've been tunnelling deep with math/physics
somehow precludes much social activity...1 reply 1 retweet 1 like -
Replying to @raeez
yeah it's tough to context switch what have you been jamming on? :D1 reply 1 retweet 1 like -
Replying to @DanielleFong
quantum field theory and its interactions with geometry... "quantum geometry" if you will. Happy to go into detail... but y'know, twitter has its limits. Only surfacing now because a long-running project has just about finished
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Replying to @DanielleFong @raeez
i started doing my notes on an infinite canvas and explored a lot of fractal geometry when I stumbled upon william thurston's expositions on 3-manifolds and the geometrization conjecture. i started looking into computational physics on 3 manifoldspic.twitter.com/UA2zxuh4Ia
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Replying to @DanielleFong
the world of 3 manifolds is a beautiful and particularly rewarding garden to explore exactly those questions!
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Replying to @raeez
yes there's SO MUCH THAT YOU CAN DO with 3 manifolds it's been super underexploited. Poincare's theorem means that certain forms of dynamics can be thought of as computation on 3 manifolds that won't get caught, & the Ricci Flow method Perlman used to prove it gives the method
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the geometrization conjecture is fucking wild -- that you can break *any* 3-manifold (which as a physicist I think of as a 3d embedding) into just a few different fundamental architectures - it's mind bending & I think it's a great entry point into physicshttps://www.youtube.com/watch?v=o6SucT2Zzys …
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Replying to @DanielleFong
in recent times, that understanding has translated into a kind of lego-like decomposition of arbitrary quantum field theories!
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Replying to @raeez
so my idea is to do this with computational domains for my AR-over-the-world project.
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