One world is (probably) just as good as many.

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 mea...

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Bibliographic Details
Published in:Synthese Vol. 200; no. 2; pp. 1 - 33
Main Author: Steeger, Jer
Format: Article
Published: Springer Nature Apr2022
Online Access:View this record in EBSCOhost
Description
Summary: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.