Bell's Theorem

Bell's Theorem without Hidden Variables

Bell's Theorem and the Demise of Local Reality

Bell ’ s theorem in the presence of classical communication

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...

No time loophole in Bell's theorem: the Hess-Philipp model is nonlocal.

Hess and Philipp recently claimed [(2001) Proc. Natl. Acad. Sci. USA 98, 14224-14227 and 14228-14233] that proofs of Bell's theorem have overlooked the possibility of time dependence in local hidden variables, hence the theorem has not been proven true. Moreover they present what is claimed to be a local realistic model of the EPR correlations. If this is true then Bell's theorem is not just un...

A simple proof of Bell's inequality

Bell's theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an extremely simple proof of Bell's inequality; a single figure suffices. This simplicity may be useful in the unending debate over what exactly the Bell inequality m...

Quantum Mechanics as Complex Probability Theory

Realistic quantum mechanics based on complex probability theory is shown to have a frequency interpretation, to coexist with Bell's theorem, to be linear, to include wavefunctions which are expansions in eigenfunctions of Hermitian operators and to describe both pure and mixed systems. Illustrative examples are given. The quantum version of Bayesian inference is discussed.