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On a Surprising Oversight by John S. Bell in the Proof of his Famous Theorem

Christian, Joy (2017) On a Surprising Oversight by John S. Bell in the Proof of his Famous Theorem. [Preprint]

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Abstract

Bell inequalities are usually derived by assuming locality and realism, and therefore violations of the Bell-CHSH inequality are usually taken to imply violations of either locality or realism, or both. But, after reviewing an oversight by Bell, in the Corollary below we derive the Bell-CHSH inequality by assuming only that Bob can measure along vectors b and b' simultaneously while Alice measures along either a or a', and likewise Alice can measure along vectors a and a' simultaneously while Bob measures along either b or b', without assuming locality. The violations of the Bell-CHSH inequality therefore only mean impossibility of measuring along b and b' (or along a and a') simultaneously.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Christian, Joyjjc@alum.bu.edu
Keywords: Bell's theorem, EPR Paradox, Local Realism, Local Causality, Quantum Correlations
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Joy Christian
Date Deposited: 11 Apr 2017 13:11
Last Modified: 11 Apr 2017 13:11
Item ID: 12979
Official URL: https://arxiv.org/abs/1704.02876
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 3 April 2017
URI: https://philsci-archive.pitt.edu/id/eprint/12979

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