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

Abstract

The hidden-variables premise is shown to be equivalent to the existence of generic filters for systems of commuting observables of a quantum system. The significance of this equivalence is interpreted in light of the theory of generic filters and boolean-valued models in set theory. The apparent stochastic nature of quantum observation is derived for these hidden-variables models.

Authors:
 [1]
  1. Department of Pathology, Sinai Hospital, 2401 W. Belvedere Ave., Baltimore, MD 21215 (United States)
Publication Date:
OSTI Identifier:
20845933
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 321; Journal Issue: 10; Other Information: DOI: 10.1016/j.aop.2006.02.003; PII: S0003-4916(06)00039-X; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUIVALENCE PRINCIPLE; HIDDEN VARIABLES; PROBABILITY; QUANTUM MECHANICS; SET THEORY

Citation Formats

Van Wesep, Robert A. Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the appearance of probability. United States: N. p., 2006. Web. doi:10.1016/j.aop.2006.02.003.
Van Wesep, Robert A. Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the appearance of probability. United States. https://doi.org/10.1016/j.aop.2006.02.003
Van Wesep, Robert A. 2006. "Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the appearance of probability". United States. https://doi.org/10.1016/j.aop.2006.02.003.
@article{osti_20845933,
title = {Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the appearance of probability},
author = {Van Wesep, Robert A},
abstractNote = {The hidden-variables premise is shown to be equivalent to the existence of generic filters for systems of commuting observables of a quantum system. The significance of this equivalence is interpreted in light of the theory of generic filters and boolean-valued models in set theory. The apparent stochastic nature of quantum observation is derived for these hidden-variables models.},
doi = {10.1016/j.aop.2006.02.003},
url = {https://www.osti.gov/biblio/20845933}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 10,
volume = 321,
place = {United States},
year = {Sun Oct 15 00:00:00 EDT 2006},
month = {Sun Oct 15 00:00:00 EDT 2006}
}