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Pilot-Wave Theory without Nonlocality

Tappenden, Paul (2022) Pilot-Wave Theory without Nonlocality. [Preprint]

MP-WW 13sep22.pdf

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It’s generally taken to be established that no local hidden-variable theory is possible. That conclusion applies if our world is a thread, where a thread is a world where particles follow trajectories, as in Pilot-Wave theory. But if our world is taken to be a set of threads locality can be recovered. Our world can be described by a many-threads theory, as defined by Jeffrey Barrett in the opening quote. Particles don’t follow trajectories because a particle in our world is a set of elemental particles following different trajectories, each in a thread. The “elements” of a superposition are construed as subsets in such a way that a particle in our world only has definite position if all its set-theoretic elements are at corresponding positions in each thread. Wavefunction becomes a 3D density distribution of particles’ subset measures, the stuff of an electron’s “probability cloud”. Current Pilot-Wave theory provides a non-relativistic dynamics for the elemental particles (approximated by Many Interacting Worlds theory). EPR-Bell nonlocality doesn’t apply because the relevant measurement outcomes in the absolute elsewhere of an observer are always in superposition.

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Item Type: Preprint
Tappenden, Paulpaulpagetappenden@gmail.com0000-0001-8457-8413
Additional Information: To appear in Foundations of Physics
Keywords: Pilot-Wave; Many-Worlds; Nonlocality; Bohm; Everett
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Paul Tappenden
Date Deposited: 14 Sep 2022 14:47
Last Modified: 14 Sep 2022 14:47
Item ID: 21161
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 13 September 2022

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