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Einstein-Podolsky-Rosen paradox, Bell's inequality, and the projection postulate
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik. (Matematik)ORCID iD: 0000-0002-9857-0938
2008 (English)In: Journal of Russian Laser Research, ISSN 1071-2836, E-ISSN 1573-8760, Vol. 29, no 2, p. 101-113Article in journal (Refereed) Published
Abstract [en]

Our aim is to understand the role of implicit assumptions which has been used by Einstein, Podolsky, and Rosen (EPR) in their famous article [Phys. Rev., 47, 777 (1935)] devoted to the so-called EPR paradox. We found that the projection postulate plays a crucial role in the EPR argument. It seems that EPR made a mistake in this paper — the projection postulate was applied not in its original form (as it has been formulated in von Neumann's book [Mathematical Foundations of Quantum mechanics, Princeton University Press (1955)] but in the form which was later formalized as Lüders' postulate [Ann. Phys., Lpz. 8, 322 (1951)]. Von Neumann's postulate was crucially modified by extending it to observables with degenerate spectra. This modification is the real source of “quantum nonlocality.” The use of the original von Neumann postulate eliminates this problem — instead of (an action at a distance)-nonlocality, we obtain a classical measurement nonlocality, which is related to the synchronization of two measurements (produced on the two parts of a composite system). If one uses correctly von Neumann's projection postulate, no “elements of reality” can be assigned to entangled systems.

Place, publisher, year, edition, pages
2008. Vol. 29, no 2, p. 101-113
Keywords [en]
Einstein-Podolsky-Rosen paradox, Bell's inequality, projection postulate
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-3866DOI: 10.1007/s10946-008-9003-8OAI: oai:DiVA.org:vxu-3866DiVA, id: diva2:203823
Available from: 2009-01-02 Created: 2009-01-02 Last updated: 2017-12-13Bibliographically approved

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Publisher's full texthttp://databas.bib.vxu.se:2451/summary.do?qid=2&product=WOS&SID=X2jIMGBJOn1Bng9N38b&search_mode=GeneralSearch

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Khrennikov, Andrei

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