Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse

• URL: http://arxiv.org/abs/2307.13218v1
• Date: Tue, 25 Jul 2023 03:10:53 GMT
• Title: Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse
• Authors: Eugene Y. S. Chua and Eddy Keming Chen
• Abstract summary: Recent works in quantum foundations suggest that it is viable to consider a mixed-state Everettian multiverse. We extend the standard Everettian justifications for the Born rule to this setting. This extended framework provides a unification of 'classical' and 'quantum' probabilities, and additional theoretical benefits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In Everettian quantum mechanics, justifications for the Born rule appeal to self-locating uncertainty or decision theory. Such justifications have focused exclusively on a pure-state Everettian multiverse, represented by a wave function. Recent works in quantum foundations suggest that it is viable to consider a mixed-state Everettian multiverse, represented by a (mixed-state) density matrix. Here, we develop the conceptual foundations for decoherence and branching in a mixed-state multiverse, and extend the standard Everettian justifications for the Born rule to this setting. This extended framework provides a unification of 'classical' and 'quantum' probabilities, and additional theoretical benefits, for the Everettian picture.

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