this post was submitted on 25 Aug 2024
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[–] [email protected] 0 points 2 months ago* (last edited 2 months ago)

Sure, but if you measure if a particle is spin up or spin down in a fixed measurement basis, physically rotate the particle, and then measure again the amplitudes change continuously. You could also measure it in another basis, which themselves form a continuous family, and get a similarly logical answer (although not independently of the first one). I don't know much about quantum field theory, but I do know that fields in it are continuous, just like they are in classical theories.

All in all, while quantum logic is part of what makes it continuous, I think I'd still stand by that it is continuous.