Axiomatization of quantum mechanics and physics in general ?

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The discussion centers on the axiomatization of quantum mechanics and its relationship with mathematical formulations. It emphasizes the necessity of establishing rules to map physical concepts into mathematical objects, highlighting the importance of model theory in interpreting these mappings. The conversation touches on the distinction between formal and non-formal proofs in mathematics and their application in mathematical physics, noting that interpretations of symbols are crucial for relating them to experimental observations. Additionally, alternative axiomatic approaches, such as those proposed by Constantin Piron, are mentioned, indicating that different mathematical languages can describe the same physical theories. Ultimately, the dialogue underscores the interplay between rigorous mathematical structures and their practical applications in physics.
  • #211
atyy said:
Where did you learn to derive CHSH?

Originally a combination of an introduction to Bell's theorem by Travis Norsen [arXiv:0707.0401 [quant-ph]], one of Bell's explanations ["The theory of local Beables"], and just sitting down and working it out. I'd read both Bell's original 1964 article the 1969 CHSH article before that but didn't find the reasoning quite as clear.

Deriving the local bound on a given linear Bell correlator isn't really an issue though. Like you pointed out earlier in post #192, it's sufficient to consider deterministic models. You can always work out the local bound on a linear Bell correlator just by maximising it over the set of local deterministic strategies (i.e., deterministic ways of mapping inputs ##x## and ##y## to outputs ##a_{x}## and ##b_{y}##), and there are a finite number of these (e.g., there are sixteen in the situation that the CHSH correlator applies to).
 
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