it's been like 10 years!
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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
computational physics is a major raison d'être for many of the questions I've been asking. esp. computation and complexity of particle excitations inside a given qft
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Replying to @raeez @DanielleFong
asking questions like: assuming you could classically control some particle excitations (i.e. control macroscopic variables like position) that have some quantum state, what could you compute?
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Replying to @raeez
extremely interesting to me! sometimes i like thinking about it in other ways, like depending upon the theory and the configuration, what computational constraints are imposed on the universe. e.g. is the complexity of qcd in a nucleon tied to its mass & therefore time (sluggish)
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Replying to @DanielleFong
The most fruitful approach I've found to answering these questions is to realize the particles as objects in some representation category of some symmetry (group, quantum group etc.).
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right, I see how a lot of things can collapse to that approximately, classical dynamics even can collapse to this (e.g. noether's theorem)
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