Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability

Details Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability

2005-06-06

arxiv.org/abs/quant-ph/0506040v2

Annals of Physics 321 (2006) 2453-2490

Physics

Quantum Physics

67 pages. Corrected formulas for conditional and joint probabilities per comment of J. Malley

Scientific paper

10.1016/j.aop.2006.02.003

The hidden-variables premise is shown to be equivalent to the existence of generic filters for algebras of commuting propositions and for certain more general propositional systems. The significance of this equivalence is interpreted in light of the theory of generic filters and boolean-valued models in set theory (the method of forcing). The apparent stochastic nature of quantum observation is derived for these hidden-variables models.

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