Struyve, Ward (2023) Scope of the action principle. [Preprint]

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Abstract

Laws of motion given in terms of differential equations can not always be derived from an action principle, at least not without introducing auxiliary variables. By allowing auxiliary variables, e.g. in the form of Lagrange multipliers, an action is immediately obtained. Here, we consider some ways how this can be done, with illustrations from the literature, and apply this to Bohmian mechanics. We also discuss the possible metaphysical status of these auxiliary variables. A particularly interesting approach brings the theory in the form of a gauge theory, with the auxiliary variables as gauge degrees of freedom.

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Item Type:	Preprint
Creators:	Creators Email ORCID Struyve, Ward ward.struyve@gmail.com 0000-0002-3633-6353
Keywords:	action principle, gauge symmetry, Bohmian mechanics
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	dr ward struyve
Date Deposited:	01 Apr 2023 22:04
Last Modified:	01 Apr 2023 22:04
Item ID:	21962
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	1 April 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/21962

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• Scope of the action principle. (deposited 01 Apr 2023 22:04) [Currently Displayed]
  • Scope of the action principle. (deposited 28 Aug 2023 14:02)

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