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Physics Letters A

Is quantum mechanics with CP nonconservation incompatible with Einstein's locality condition at the statistical level?

Amitava Datta, Dipankar Home, Amitava Raychaudhuri

Published Jul 1, 1988• 17 citations
Publisher
DOI
10.1016/0375-9601(88)90590-7

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A critical reconsideration of the EPR (Einstein-Podolsky-Rosen) paper shows that the EPR argument can be developed without using the concept of `element of physical reality', thus eliminating any philosophical element in the logical chains of the paper. Deprived of its philosophical ornament, the EPR argument plainly reduces to require what quantum mechanics can not do: to assign definite values to two incompatible physical quantities. Hidden variables theories built up according to Bell - type theorems are formulated on the basis of the assumption that the locality condition implies the statistical independence between two measurements space - like separated. This assumption is valid only with the additional one that statistical dependence between two measurements requires a causal connection between them. This additional assumption rules out the possibility that statistical dependence may due to an intrinsic property of the physical system under study. Therefore, hidden variables theories are built up with a restriction which leads them to be disproved by experiment. Quantum mechanical non - locality, invoked for describing EPR - type experiments, is strictly connected to the hypothesis (NDV hypothesis) according to which the twin photons of entangled pairs do not have a definite polarization before measurements. Both hypotheses are used only for describing EPR experiments and not for making predictions. Therefore, they can be dropped without reducing the predictive power of quantum mechanics concerning entangled photons pairs. Furthermore, both hypotheses can be experimentally tested by a modification of a standard experimental apparatus designed for studying entangled photons pairs.
We analyze a possible loophole to the conclusion of the Bell-KS theorem that quantum mechanics is not compatible with any realistic and noncontextual or local theory. We emphasize that the models discarded by Bell-KS-like arguments possess a property not shared by quantum mechanics, i.e. the capability to make non-trivial statements about the joint statistics of quantum incompatible observables. By ruling out this possibility, apparently nothing seems to prevent from a realistic, noncontextual or local view of quantum mechanics.