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Global Branching and Everettian Probability: A Critique of Sebens and Carroll’s Proposal

Gao, Shan (2025) Global Branching and Everettian Probability: A Critique of Sebens and Carroll’s Proposal. [Preprint]

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Abstract

Sebens and Carroll (2018) propose that self-locating uncertainty, constrained by their Epistemic Separability Principle (ESP), derives Born rule probabilities in Everettian quantum mechanics. Their global branching model, however, leads to local amplitudes lost, undermining this derivation. This paper argues that global branching’s premature splitting of observers, such as Bob in an EPR-Bohm setup, yields local pure states devoid of amplitude coefficients essential for Born rule probabilities. Despite their innovative framework, further issues with global branching—conflicts with decoherence, relativistic violations via physical state changes, and constraints on superposition measurements—render it empirically inadequate. Defenses, such as invoking global amplitudes, fail to resolve these flaws. Additionally, observer-centric proofs of the Born rule neglect objective statistics, weakening their empirical grounding. This analysis underscores the need to reconsider branching mechanisms to secure a robust foundation for Everettian probabilities.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gao, Shansgao7319@uni.sydney.edu.au
Keywords: Many-Worlds Interpretation; Global Branching; Everettian Probability; Self-Locating Uncertainty; Born Rule; Special Relativity
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Depositing User: Prof. Shan Gao
Date Deposited: 25 Jun 2025 14:14
Last Modified: 25 Jun 2025 14:14
Item ID: 25800
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Date: 25 June 2025
URI: https://philsci-archive.pitt.edu/id/eprint/25800

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