Measurement outcomes and probability in Everettian quantum mechanics


Authors
David Baker
University of Michigan, Ann Arbor
Abstract
The decision-theoretic account of probability in the Everett or many-worlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range over. But the existence of a preferred basis can only be established by the process of decoherence, which is itself probabilistic.
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DOI 10.1016/j.shpsb.2006.05.003
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References found in this work BETA

Reasons and Persons.Derek Parfit - 1984 - Philosophy and Phenomenological Research 47 (2):311-327.
Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Understanding Deutsch's Probability in a Deterministic Universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Modern Physics 35 (3):423-456.
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.

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Citations of this work BETA

Branching and Uncertainty.Simon Saunders & David Wallace - 2008 - British Journal for the Philosophy of Science 59 (3):293-305.
Many Worlds and Schrodinger's First Quantum Theory.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi - 2011 - British Journal for the Philosophy of Science 62 (1):1-27.
Evidence and Uncertainty in Everett's Multiverse.Paul Tappenden - 2011 - British Journal for the Philosophy of Science 62 (1):99-123.
On the Everettian Epistemic Problem.Hilary Greaves - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):120-152.

View all 16 citations / Add more citations

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