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

Chua, Eugene Y. S. and Chen, Eddy Keming (2023) Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse. [Preprint]

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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 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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Item Type: Preprint
Creators:
CreatorsEmailORCID
Chua, Eugene Y. S.eychua@ucsd.edu0000-0002-3169-7563
Chen, Eddy Kemingeddykemingchen@ucsd.edu0000-0001-5144-0952
Keywords: density matrix, probability, self-location, decision theory, unification, empirical equivalence, many worlds
Subjects: General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Dr. Eddy Keming Chen
Date Deposited: 25 Jul 2023 14:30
Last Modified: 25 Jul 2023 14:30
Item ID: 22335
Subjects: General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 24 July 2023
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/22335

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