English

Possible Experience: from Boole to Bell

Quantum Physics 2011-05-31 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0907.0767,
  title  = {Possible Experience: from Boole to Bell},
  author = {K. Hess and K. Michielsen and H. De Raedt},
  journal= {arXiv preprint arXiv:0907.0767},
  year   = {2011}
}

Comments

Published in: EPL, 87 (2009) 60007

R2 v1 2026-06-21T13:21:27.617Z