A Noether Theorem for discrete Covariant Mechanics · HackerPapers discussions

A Noether Theorem for discrete Covariant Mechanics — mentioned by naasking

Tue, 22 Oct 2024 13:41:33 GMT

This is a common belief and true of many discrete models because they violate symmetries, but that is not true of all discrete models: A Noether Theorem for discrete Covariant Mechanics, https://arxiv.org/abs/1902.08997

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A Noether Theorem for discrete Covariant Mechanics — mentioned by naasking

Mon, 10 Jul 2023 19:15:40 GMT

I think naive approaches to digital physics have been inadequate, but newer works have made good progress on important questions. Arguably one of the biggest tools in the physicists' toolbox are symmetries, and there's now a good account for those: A Noether Theorem for discrete Covariant Mechanics, https://arxiv.org/abs/1902.08997

Paper and discussion history. A mention is not an endorsement.

A Noether Theorem for discrete Covariant Mechanics — mentioned by naasking

Sat, 25 Feb 2023 01:24:51 GMT

Nobody knows of any certain reasons to not scale, but there's plenty of speculation. Someone else posted about Gil Kalai in this subthread, so he's one high profile person that has documented his skepticism on quantum computing and explained his reasons. For my part, I don't think quantum foundations are on a firm footing. I think the measurement problem is still unresolved to a satisfactory degree, which means our understanding of decoherence is incomplete. Per the link I posted above, there's also a good chance that gravity is inherently decoherent, which means entanglement will naturally…

Paper and discussion history. A mention is not an endorsement.

A Noether Theorem for discrete Covariant Mechanics — mentioned by naasking

Wed, 15 Feb 2023 13:26:47 GMT

> As far as we know, time and space are continuous. Our models are continuous. The map is not the territory. > Various aspects of quantum field theories would not work in a discretized universe. If you're referring to symmetries, that's not true [1]. Discretized theories have received barely any attention because physicists have simply built upon the formalisms they're used to from classical physics. We see people frequently saying that we should abandon classical intuitions now that we have quantum mechanics, but we haven't really even tried to abandon classical formalisms, which are just…

Paper and discussion history. A mention is not an endorsement.