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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Replying to @DanielleFong @raeez
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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Replying to @DanielleFong
it's a great idea. We all seem to participate in this collective misunderstanding that we learn best by reading, but it's more likely that we learn best by doing; affording an arena to retrace (or follow) someone else's steps would be game-changing, especially in science
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Replying to @raeez
yes that's the idea. this is also embedding ideas from like "mind palaces" and RPGs
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Replying to @DanielleFong
not sure if you know this, but actually the route I got into MIT/the US to begin with was by making an educational video game (teaching 9th grade chemistry) and entering it into ISEF... it had hybrid elements from the FPS/MMORPG genres
so yeah, I'm totally sympathathetic!1 reply 1 retweet 2 likes -
Replying to @raeez
i absolutely did not know this.
awesome!
did @patrickc and@collision and@gdb know this?1 reply 0 retweets 0 likes -
Replying to @DanielleFong @patrickc and
might have mentioned it at some point, but not sure
1 reply 0 retweets 1 like
@gdb got into Harvard from like his chemistry book / notes too. was wondering about a certain, how we say, chemistry with you guys 

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