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On The Galilean Invariance of the Pilot-Wave Theory

Allori, Valia (2022) On The Galilean Invariance of the Pilot-Wave Theory. [Preprint]

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Abstract

Many agree that the pilot-wave theory is to be understood as a first-order theory, in which the law constrains the velocity of the particles. However, while Dürr, Goldstein and Zanghì maintain that the pilot-wave theory is Galilei invariant, Valentini argues that such a symmetry is mathematical but it has no physical significance. Moreover, some wavefunction realists insist that the pilot-wave theory is not Galilei invariant in any sense. It has been maintained by some that this disagreement originates in the disagreement about ontology, as Valentini, contrary to Dürr, Goldstein and Zanghì, has been taken to endorse wavefunction realism. In this paper I argue that Valentini’s argument is independent of the choice of the ontology of matter: it is based on the notion of natural kinematics for a theory, and the idea that the kinematics should match the dynamics. If so, I also argue that there are several reasons to dispute Valentini’s claim that the kinematical symmetries should constrain dynamical ones.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Allori, Valiavaliaallori@fastmail.com0000-0002-8144-8549
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr Valia Allori
Date Deposited: 17 Nov 2022 14:56
Last Modified: 17 Nov 2022 14:56
Item ID: 21438
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/21438

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