Abstract
The main purpose of this note is to prove a lemma about random variables, and then to apply this lemma to the characterization of local theories of hidden variables by Bell (1964, 1966) and Wigner (1970), which are focused around Bell’s inequality. We use the results of the lemma in two different ways. The first is to show that the assumptions of Bell and Wigner can be weakened to conditional statistical independence rather than conditional determinism because determinism follows from conditional independence and the other assumptions that are made about systems of two spin−1/2 particles.
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Bibliography
Bell, J.S., `On the Einstein Podolsky Rosen Paradox’, Physics 1 (1964), 195–200.
Bell, J. S., `On the Problem of Hidden Variables in Quantum Mechanics’, Reviews of Modern Physics 38 (1966), 447–452.
Clauser, J. F. and Home, M. A., `Experimental Consequences of Objective Local Theories’, Physical Review D 10 (1974), 526–535.
Wigner, E. P., `On Hidden Variables and Quantum Mechanical Probabilities’, American Journal of Physics 38 (1970), 1005–1009.
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© 1976 Springer Science+Business Media Dordrecht
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Suppes, P., Zanotti, M. (1976). On the Determinism of Hidden Variable Theories with Strict Correlation and Conditional Statistical Independence of Observables. In: Suppes, P. (eds) Logic and Probability in Quantum Mechanics. Synthese Library, vol 78. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9466-5_21
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DOI: https://doi.org/10.1007/978-94-010-9466-5_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-1200-4
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