Probability, arrow of time and decoherence

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):439-456 (2007)
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Abstract

This paper relates both to the metaphysics of probability and to the physics of time asymmetry. Using the formalism of decoherent histories, it investigates whether intuitions about intrinsic time directedness that are often associated with probability can be justified in the context of no-collapse approaches to quantum mechanics. The standard approach to time symmetry in the decoherent histories literature is criticised, and an alternative approach is proposed, based on two decoherence conditions within the one-vector formalism. In turn, considerations of forwards and backwards decoherence and of decoherence and recoherence suggest that a time-directed interpretation of probabilities, if adopted, should be both contingent and perspectival.

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Guido Bacciagaluppi
Utrecht University

Citations of this work

The role of decoherence in quantum mechanics.Guido Bacciagaluppi - 2003 - Stanford Encyclopedia of Philosophy.
Time in Thermodynamics.Jill North - 2011 - In Criag Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press. pp. 312--350.
Philosophy of Physics.Elise M. Crull - 2013 - Analysis 73 (4):771-784.

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References found in this work

Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule.David Wallace - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):311-332.
The role of decoherence in quantum mechanics.Guido Bacciagaluppi - 2003 - Stanford Encyclopedia of Philosophy.
Beables for quantum field theory.J. S. Bell - 1987 - In Basil J. Hiley & D. Peat (eds.), Quantum Implications: Essays in Honour of David Bohm. Methuen. pp. 227--234.
Decoherence, relative states, and evolutionary adaptation.Simon Saunders - 1993 - Foundations of Physics 23 (12):1553-1585.

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