Possible Experience: from Boole to Bell

Details Possible Experience: from Boole to Bell Possible Experience: from Boole to Bell

2009-07-04

arxiv.org/abs/0907.0767v2

Europhys. Lett. 87, 60007 (2009)

Physics

Quantum Physics

Published in: EPL, 87 (2009) 60007

Scientific paper

10.1209/0295-5075/87/60007

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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