Foundations of Physics 36 (4):585-601 (2006)

Allen Stairs
University of Maryland, College Park
Jeffrey Bub
University of Maryland, College Park
Emilio Santos has argued (Santos, Studies in History and Philosophy of Physics http: //arxiv-org/abs/quant-ph/0410193) that to date, no experiment has provided a loophole-free refutation of Bell’s inequalities. He believes that this provides strong evidence for the principle of local realism, and argues that we should reject this principle only if we have extremely strong evidence. However, recent work by Malley and Fine (Non-commuting observables and local realism, http: //arxiv-org/abs/quant-ph/0505016) appears to suggest that experiments refuting Bell’s inequalities could at most confirm that quantum mechanical quantities do not commute. They also suggest that experiments performed on a single system could refute local realism. In this paper, we develop a connection between the work of Malley and Fine and an argument by Bub from some years ago [Bub, The Interpretation of Quantum Mechanics, Chapter VI(Reidel, Dodrecht,1974)]. We also argue that the appearance of conflict between Santos on the one hand and Malley and Fine on the other is a result of differences in the way they understand local realism
Keywords Bell’s inequality  local realism  hidden variables  nonlocality  Kochen–Specker theorem  quantum conditional probability
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DOI 10.1007/s10701-005-9031-y
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References found in this work BETA

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Quanten‐mechanik und wirklichkeit.A. Einstein - 1948 - Dialectica 2 (3‐4):320-324.
Correlations and Physical Locality.Arthur Fine - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:535 - 562.

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