It’s also possible that the symmetry just vanishes completely in a relativistic setting (this is where actually knowing QFT would come in handy). But even then, I would also expect an explanation on a classical level because I have the intuition that you could have minds in a classical universe that perceive position and momentum differently.
Hmm, I think this expectation is actually on the wrong track? Admittedly I pretty much don’t know QFT at all, but when it comes to the relevance of relativity:
A finite speed of light provides a limit on how fast causality can travel. So it probably plays a key part in guaranteeing locality. The intuitions about classical mechanics might be misleading because we get our classical experience from a relativistic universe which does contain a finite speed of light? Whereas an imaginary classical universe without a finite speed of light would be less local and therefore more symmetric?
Hmm, I think this expectation is actually on the wrong track? Admittedly I pretty much don’t know QFT at all, but when it comes to the relevance of relativity:
A finite speed of light provides a limit on how fast causality can travel. So it probably plays a key part in guaranteeing locality. The intuitions about classical mechanics might be misleading because we get our classical experience from a relativistic universe which does contain a finite speed of light? Whereas an imaginary classical universe without a finite speed of light would be less local and therefore more symmetric?