Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the appearance of probability
Journal Article
·
· Annals of Physics (New York)
- Department of Pathology, Sinai Hospital, 2401 W. Belvedere Ave., Baltimore, MD 21215 (United States)
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.
- OSTI ID:
- 20845933
- Journal Information:
- Annals of Physics (New York), Vol. 321, 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); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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