4 ms·
I think it's a cool idea, but it's one of many that start with a lattice model of space.
by wwarner 5y ago
I think it's a cool idea, but it's one of many that start with a lattice model of space.
- miej 5y agohaven't done the math, myself - are there significant problems with a lattice model of space?
- eurasiantiger 5y agoIt implies an a priori background structure. Hilbert spaces are usually preferred, as the complex state of a wavefunction kind of implies that representation.
- miej 5y agoso i think that's actually part of what I found notable about one of the posed hypotheses nearer the end of the video - the complex nature of the wavefunction essentially gets transformed into a 'more intuitive' lattice node space-like rotation within the Kleinert elastic crystal model. which, as someone who spent a short time 'getting used to' qm, seems very tempting. plus, dont Hilbert spaces assume they are infinitessimally detailed (ie: complete)? which seems like it could lead to potential collisions with set-theoretic geometry, eg possibly some potential for a physical manifestation of the banach-tarski paradox, which would clearly violate conservation laws
- bawana 5y agowhat other models start with a lattice assumption of space? I have been working on the math for a a model of space that is just a lattice, bosons are a vibration on the lattice, hadrons are twists on the lattice, gravity is stretching/compression of the lattice.
- wwarner 5y agoLee Smolin, Stephen Wolfram and, though I am not an expert, I'm pretty sure many more.
- leephillips 5y agoGerard ’t Hooft has been working on something like that, too.