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One world is (probably) just as good as many

Steeger, Jer (2022) One world is (probably) just as good as many. [Preprint]

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Abstract

One of our most sophisticated accounts of objective chance in quantum mechanics involves the Deutsch-Wallace theorem, which uses state-space symmetries to justify agents' use of the Born rule when the quantum state is known. But Wallace argues that this theorem requires an Everettian approach to measurement. I find that this argument is unsound. I demonstrate a counter-example by applying the Deutsch-Wallace theorem to the de Broglie-Bohm pilot-wave theory.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Steeger, Jerjsteeger@uw.edu0000-0003-2771-4145
Keywords: Deutsch-Wallace theorem, Born rule, Everettian quantum mechanics, pilot-wave theory, chance, principal principle
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Jer Steeger
Date Deposited: 01 Apr 2022 04:15
Last Modified: 01 Apr 2022 04:15
Item ID: 20423
Official URL: https://doi.org/10.1007/s11229-022-03499-z
DOI or Unique Handle: 10.1007/s11229-022-03499-z
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 31 March 2022
URI: https://philsci-archive.pitt.edu/id/eprint/20423

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