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

• URL: http://arxiv.org/abs/2307.13218v2
• Date: Tue, 28 Jan 2025 03:57:35 GMT
• Title: Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse
• Authors: Eugene Y. S. Chua, Eddy Keming Chen,
• Abstract summary: We develop the conceptual foundations for decoherence and branching in a mixed-state multiverse. This framework provides a unification of 'classical' and 'quantum' probabilities, and additional theoretical benefits.
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• 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 arguments 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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