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Possible Experience: from Boole to Bell

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arxiv 0907.0767 v2 pith:QASC35EU submitted 2009-07-04 quant-ph

Possible Experience: from Boole to Bell

classification quant-ph
keywords inequalitiesbellbooleeinsteincertaincounterexamplefindingslocal
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Mainstream interpretations of quantum theory maintain that violations of the Bell inequalities deny at least either realism or Einstein locality. Here we investigate the premises of the Bell-type inequalities by returning to earlier inequalities presented by Boole and the findings of Vorob'ev as related to these inequalities. These findings together with a space-time generalization of Boole's elements of logic lead us to a completely transparent Einstein local counterexample from everyday life that violates certain variations of the Bell inequalities. We show that the counterexample suggests an interpretation of the Born rule as a pre-measure of probability that can be transformed into a Kolmogorov probability measure by certain Einstein local space-time characterizations of the involved random variables.

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