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Counter-Factual Meaningfulness and the Bell and CHSH Inequalities

2006/06/09 by Travis Norsen, Norsen, Travis · 1 citation
Agricultural and Biological Sciences · Chemistry · Physics and Astronomy · #Electrochemical Analysis and Applications #Plant and animal studies #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0606084

arxiv created 2006/06/09 · arxiv updated 2009/12/01

Abstract

We discuss the role of counter-factual meaningfulness (a weaker cousin of "counter-factual definiteness") as a premise in the derivation of the Bell and CHSH inequalities. The basic question motivating the discussion is this: can the CHSH inequality, unlike the original Bell inequality, be derived without making a hidden-variables (or equivalent counter-factual definiteness) assumption? We answer, somewhat tentatively, in the negative, and suggest that an appropriately-modified version of the EPR argument is needed to rigorously establish that the empirical violation of Bell-type inequalities can only be blamed on the failure, in nature, of local causality.

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