Elements of reality, Lorentz invariance, and the product rule
 O. Cohen,
 B. J. Hiley
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Recently various gedankenexperiments have been formulated which argue that the assumption that “elements of reality” are Lorentz invariant cannot be reconciled with standard quantum mechanics. Two of these gedankenexperiments were subsequently analyzed using the notion of pre and postselected quantum systems, and it was claimed that elements of reality can be made Lorentz invariant if the “product rule” of standard quantum mechanics is abandoned. In this paper we show that the apparent violations of the product rule in these gedankenexperiments are not as significant as they appeared to be in the previous analysis. We conclude that the problems with Lorentz invariance which arise in these gedankenexperiments are essentially unrelated to the product rule violations.
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 Title
 Elements of reality, Lorentz invariance, and the product rule
 Journal

Foundations of Physics
Volume 26, Issue 1 , pp 115
 Cover Date
 19960101
 DOI
 10.1007/BF02058886
 Print ISSN
 00159018
 Online ISSN
 15729516
 Publisher
 Kluwer Academic PublishersPlenum Publishers
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 Authors

 O. Cohen ^{(1)}
 B. J. Hiley ^{(1)}
 Author Affiliations

 1. Department of Physics, Birkbeck College, University of London, Malet Street, WC1E 7HX, London, UK