I explain what kinds of correlation or even direct classical communication between detectors invalidate Bell's theorem, and what kinds do not. [1] of my simple demonstration [2] that their refutation [3] of an elementary version of Bell's theorem [4] cannot be correct. Rather than belabor misconceptions 1 in [3], I prefer to examine a question of more general interest. Let us turn Hess and Phil...

Bell’s theorem states that some quantum correlations can not be represented by classical correlations of separated random variables. It has been interpreted as incompatibility of the requirement of locality with quantum mechanics. We point out that in fact the space part of the wave function was neglected in the proof of Bell’s theorem. However this space part is crucial for considerations of p...

– Bell’s inequalities are a variant of Boole’s legendary consistency “conditions of possible experience.” Although they do not specifically refer to spatially separated subsystems, they apply to spatially separated particles as well. Such an interpretation appears to be immune to arguments involving time dependencies put forward recently by Hess and Philipp [1]. In the middle of the 19th centur...

Most of the standard proofs of the Bell theorem are based on the Kolmogorov axioms of probability theory. We show that these proofs contain mathematical steps that cannot be reconciled with the Kolmogorov axioms. Specifically we demonstrate that these proofs ignore the conclusion of a theorem of Vorob’ev on the consistency of joint distributions. As a consequence Bell’s theorem stated in its fu...

J.S. Bell believed that his famous theorem entailed a deep and troubling conflict between the empirically verified predictions of quantum theory and the notion of local causality that is motivated by relativity theory. Yet many physicists continue to accept, usually on the reports of textbook writers and other commentators, that Bell’s own view was wrong, and that, in fact, the theorem only bri...

Bell's theorem is supposed to exclude all local hidden-variable models of quantum correlations. However, an explicit counterexample shows that a new class realistic models, based on generalized arithmetic and calculus, can exactly reconstruct rotationally symmetric probabilities typical two-electron singlet states. Observable are consistent with the usual employed by macroscopic observers, but ...

We derive inequalities for n spin-1/2 systems under the assumption that the hidden-variable theoretical joint probability distribution for any pair of commuting observables is equal to the quantum mechanical one. Fine showed that this assumption is connected to the no-hidden-variables theorem of Kochen and Specker (KS theorem). These inequalities give a way to experimentally test the KS theorem...

I make some critical comments on the article [11]. This article makes incorrect claims concerning Bell’s theorem [1]. Moreover, I point to the fact that a hypothesis referred to as “realism” in [11] is not used in the deduction of Leggett’s inequality. “It is the requirement of locality, or more precisely that the result of a measurement on one system be unaffected by operations on a distant sy...

Contents 1 Introduction. page 1 2 Does relativity preclude action at a distance? 2 3 Locally explicable correlations. 5 4 Correlations that are not locally explicable 9 5 Bell and Local Causality 11 6 Quantum state evolution 13 7 Local beables for relativistic collapse theories 17 8 A comment on Everettian theories 19 9 Conclusion 20 10 Acknowledgments 20 11 Appendix 20 References 25 1 Introduc...

I make some critical comments on the article [11]. This article makes incorrect claims concerning Bell’s theorem [1]. Moreover, I point to the fact that a hypothesis referred to as “realism” in [11] is not used in the deduction of Leggett’s inequality. “It is the requirement of locality, or more precisely that the result of a measurement on one system be unaffected by operations on a distant sy...