On the problem of completeness of QM: von Neumann against Einstein, Podolsky, and Rosen
Abstract
We performed a comparative analysis of the arguments of Einstein, Podolsky and Rosen -- EPR, 1935 (against the completeness of QM) and the theoretical formalism of QM (due to von Neumann, 1932). We found that the EPR considerations do not match at all with the von Neumann's theory. Thus EPR did not criticize the real theoretical model of QM. The root of EPR's paradoxical conclusion on incompleteness of QM is the misuse of von Neumann's projection postulate. EPR applied this postulate to observables with degenerate spectra (which is totally forbidden by the axiomatics of QM).
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Cite
@article{arxiv.0804.2006,
title = {On the problem of completeness of QM: von Neumann against Einstein, Podolsky, and Rosen},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:0804.2006},
year = {2008}
}
Comments
At the very end of the paper: coupling of our arguments against EPR with Legget's inequality and the recent experiment of S. Groblacher, T. Paterik, R. Kaltenbaek, C. Brukner, M. Zukowski, A. Aspelmeyer, and A. Zeilinger. Reply to supporters of Copenhagen and Vaxjo interpretations - sections 1.2, 1.3