Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability
Quantum Physics
2007-05-23 v2 Logic
Abstract
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.
Cite
@article{arxiv.quant-ph/0506040,
title = {Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability},
author = {Robert A. Van Wesep},
journal= {arXiv preprint arXiv:quant-ph/0506040},
year = {2007}
}
Comments
67 pages. Corrected formulas for conditional and joint probabilities per comment of J. Malley