Abstract
One of the Bell’s assumptions in the original derivation of his inequalities was the hypothesis of locality, i.e., the absence of the influence of two remote measuring instruments on one another. That is why violations of these inequalities observed in experiments are often interpreted as a manifestation of the nonlocal nature of quantum mechanics, or a refutation of a local realism. It is well known that the Bell’s inequality was derived in its traditional form, without resorting to the hypothesis of locality and without the introduction of hidden variables, the only assumption being that the probability distributions are nonnegative. This can therefore be regarded as a rigorous proof that the hypothesis of locality and the hypothesis of existence of the hidden variables not relevant to violations of Bell’s inequalities. The physical meaning of the obtained results is examined. Physical nature of the violation of the Bell inequalities is explained under new EPR-B nonlocality postulate. We show that the correlations of the observables involved in the Bohm–Bell type experiments can be expressed as correlations of classical random variables. The revisited Bell type inequality in canonical notatons reads 〈AB〉 + 〈A’B〉 + 〈AB’〉 − 〈A’B’〉 ⩽ 6.
Highlights
One of the Bell’s assumptions in the original derivation of his inequalities was the hypothesis of locality, i.e., of the absence of the influence of two remote measuring instruments on one another
In paper [1], Bell inequality was derived in its traditional form, without resorting to the hypothesis of locality, the only assumption being that the probability distributions are nonnegative
This can be regarded as a rigorous proof that the hypothesis of locality is not relevant to violations of Bell inequalities
Summary
One of the Bell’s assumptions in the original derivation of his inequalities was the hypothesis of locality, i.e., of the absence of the influence of two remote measuring instruments on one another. Bell theorem without the hypothesis of locality Remind that the assumption of locality in the derivation of Bell’s theorem requires that the measurement processes of the two observers are space-like separated (Fig.). Bell theorem without the hypothesis of locality Remind that the assumption of locality in the derivation of Bell’s theorem requires that the measurement processes of the two observers are space-like separated (Fig.1) This means that it is necessary to freely choose a direction for analysis, to set the analyzer and to register the particle such that it is impossible for any information about these processes to travel via any (possibly unknown) channel to the other observer before he, in turn, finishes his measurement. Measurement on particle B alters a wave function ψA (x) even if particles A and B are space-like separatedand and EPR paradox disappears
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have