2003/01/08 by D. A. Slavnov, Slavnov, D. A.
Mathematics · Physics and Astronomy · #Quantum Mechanics and Applications #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0301027
8 pages, no figures, Latex
arxiv created 2003/01/08 · arxiv updated 2009/11/30
We establish connections between the requirement of measurability of a probability space and the principle of complimentarity in quantum mechanics. It is shown that measurability of a probability space implies the dependence of results of quantum measurement not only on the properties of a quantum object under consideration, but also on the classical characteristics of the measuring device which is used. We show that if one takes into account the requirement of measurability in a quantum case, the Bell inequality does not follow from the hypothesis about the existence of an objective reality.