Waegell, Mordecai and McQueen, Kelvin J. (2020) Reformulating Bell's Theorem: The Search for a Truly Local Quantum Theory. [Preprint]
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Abstract
The apparent nonlocality of quantum theory has been a persistent concern. Einstein et. al. (1935) and Bell (1964) emphasized the apparent nonlocality arising from entanglement correlations. While some interpretations embrace this nonlocality, modern variations of the Everett-inspired many worlds interpretation try to circumvent it. In this paper, we review Bell's "no-go" theorem and explain how it rests on three axioms, local causality, no superdeterminism, and one world. Although Bell is often taken to have shown that local causality is ruled out by the experimentally confirmed entanglement correlations, we make clear that it is the conjunction of the three axioms that is ruled out by these correlations. We then show that by assuming local causality and no superdeterminism, we can give a direct proof of many worlds. The remainder of the paper searches for a consistent, local, formulation of many worlds. We show that prominent formulations whose ontology is given by the wave function violate local causality, and we critically evaluate claims in the literature to the contrary. We ultimately identify a local many worlds interpretation that replaces the wave function with a separable Lorentz-invariant wave-field. We conclude with discussions of the Born rule, and other interpretations of quantum mechanics.
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Item Type: | Preprint | |||||||||
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Keywords: | Bell's Theorem, EPR, Many Worlds, nonlocality, Local causality, Measurement problem, Everett. | |||||||||
Subjects: | General Issues > Scientific Metaphysics General Issues > Causation General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory |
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Depositing User: | Dr. Kelvin J. McQueen | |||||||||
Date Deposited: | 04 Mar 2020 03:25 | |||||||||
Last Modified: | 09 Mar 2020 16:29 | |||||||||
Item ID: | 16963 | |||||||||
Subjects: | General Issues > Scientific Metaphysics General Issues > Causation General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory |
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Date: | March 2020 | |||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/16963 |
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