Chua, Eugene Y. S. and Chen, Eddy Keming (2024) 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 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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| Item Type: | Preprint | |||||||||
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| Additional Information: | Accepted version, Synthese | |||||||||
| 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 |
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| Depositing User: | Dr. Eddy Keming Chen | |||||||||
| Date Deposited: | 28 Jan 2025 17:56 | |||||||||
| Last Modified: | 28 Jan 2025 17:56 | |||||||||
| Item ID: | 24634 | |||||||||
| 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 |
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| Date: | 27 January 2024 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/24634 |
Available Versions of this Item
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Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse. (deposited 25 Jul 2023 14:30)
- Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse. (deposited 28 Jan 2025 17:56) [Currently Displayed]
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