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A short note on conflicting definitions of locality

2011/05/04 by Antonio Di Lorenzo, Di Lorenzo, Antonio · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1105.0958

arxiv created 2011/05/04 · arxiv updated 2011/05/06

Abstract

There are various non-equivalent definitions of locality. Three of them, impossibility of instantaneous communication, impossibility of action-at-a-distance, and impossibility of faster-than-light travel, while not fully implying each other, have a large overlap. When the term non-locality is used, most physicists think that one of these three conditions is being violated. There is a minority of physicists, however, who uses "locality" with a fourth meaning, the satisfaction of the hypotheses underlying Bell inequality. This definition devoids Bell's theorem of its profoundness, reducing it to a mere tautology. It is demonstrated here, through a classical example using a deck of cards, that this latter definition of "locality" is untenable.

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