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

Publication Year:
2017
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arXiv Id:
1704.02876
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12979
Author(s):
Christian, Joy
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preprint description
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.