Abstract
Bell’s inequality is predicated on the joint requirements of locality and the existence of joint probability for a single particle’s observables. A theory based on Hilbert space formalism (such as is quantum mechanics) does not allow, in general, joint probabilities. Hence deduction from the validity (or not) of the inequality is inapplicable to quantum mechanics. Indeed we show that the violation of the inequality by quantum mechanics is given quantitatively by local commutators which are relevant to the nonexistence of certain joint probabilities. It is argued that in quantum mechanics counterfactual considerations are not always allowed.
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© 1998 Springer Science+Business Media Dordrecht
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Revzen, M., De Baere, W., Mann, A. (1998). Bell’s Inequality Violation and Localization. In: Hunter, G., Jeffers, S., Vigier, JP. (eds) Causality and Locality in Modern Physics. Fundamental Theories of Physics, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0990-3_46
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DOI: https://doi.org/10.1007/978-94-017-0990-3_46
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