Retrodiction in quantum mechanics, preferred Lorentz frames, and nonlocal measurements
 O. Cohen,
 B. J. Hiley
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We examine, in the context of the EinsteinPodolskyRosenBohm gedankenexperiment, problems associated with state reduction and with nonlocal influences according to different interpretations of quantum mechanics, when attempts are made to apply these interpretations in the relativistic domain. We begin by considering the significance of retrodiction within four different interpretations of quantum mechanics, and show that three of these interpretations, if applied in a relativistic context, can lead to ambiguities in their description of a process. We consider ways of dealing with these ambiguities, in particular focussing on the “preferred frame” hypothesis. We then reexamine an argument involving nonlocal measurements which claimed that the preferred frame hypothesis is not tenable, and show that this argument does not in fact necessitate a rejection of the preferred frame. We then suggest that, to avoid confusion, the preferred frame could be extended to cover unitary interactions as well as state reductions. We conclude with a brief examination of a proposal that state reduction should take effect across the backward light cone of a measurement event.
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 Title
 Retrodiction in quantum mechanics, preferred Lorentz frames, and nonlocal measurements
 Journal

Foundations of Physics
Volume 25, Issue 12 , pp 16691698
 Cover Date
 19951201
 DOI
 10.1007/BF02057882
 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. Physics Department, Birkbeck College, University of London, Malet Street, WC1E 7HX, London, UK