McQueen, Kelvin J. and Vaidman, Lev (2018) In defence of the self-location uncertainty account of probability in the many-worlds interpretation. [Preprint]
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Abstract
We defend the many-worlds interpretation of quantum mechanics (MWI) against the objection that it cannot explain why measurement outcomes are predicted by the Born probability rule. We understand quantum probabilities in terms of an observer's self-location probabilities. We formulate a probability postulate for the MWI: the probability of self-location in a world with a given set of outcomes is the absolute square of that world's amplitude. We provide a proof of this postulate, which assumes the quantum formalism and two principles concerning symmetry and locality. We also show how a structurally similar proof of the Born rule is available for collapse theories. We conclude by comparing our account to the recent account offered by Sebens and Carroll.
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| Item Type: | Preprint | |||||||||
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| Keywords: | Many worlds interpretation; Everett; Probability problem; Self-location uncertainty; measurement problem | |||||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Dr. Kelvin J. McQueen | |||||||||
| Date Deposited: | 26 Oct 2018 20:40 | |||||||||
| Last Modified: | 26 Oct 2018 20:40 | |||||||||
| Item ID: | 15195 | |||||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 12 February 2018 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/15195 |
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In defence of the self-location uncertainty account of probability in the many-worlds interpretation. (deposited 16 Feb 2018 02:48)
- In defence of the self-location uncertainty account of probability in the many-worlds interpretation. (deposited 26 Oct 2018 20:40) [Currently Displayed]
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