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Time, quantum mechanics, and decoherence

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Abstract

State-reduction and the notion of “actuality” are compared to “passage” through time and the notion of “the present”; already in classical relativity the latter give rise to difficulties. The solution proposed here is to treat both tense and value-definiteness as relational properties or “facts as relations”; likewise the notions of change and probability. In both cases “essential” characteristics are absent: temporal relations are tenselessly true; probabilistic relations are deterministically true.

The basic ideas go back to Everett, although the technical development makes use of the decoherent histories theory of Griffiths, Omnès, and Gell-Mann and Hartle. Alternative interpretations of the decoherent histories framework are also considered.

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I would like to thank Abner Shimony for valuable criticism.

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Saunders, S. Time, quantum mechanics, and decoherence. Synthese 102, 235–266 (1995). https://doi.org/10.1007/BF01089802

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