Barrett, Jeffrey A. and Goldbring, Isaac (2023) A Nonstandard Formulation of Bohmian Mechanics. [Preprint]

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Abstract

Using the tools of nonstandard analysis, we develop and present an alternative formulation of Bohmian mechanics. This approach allows one to describe a broader assortment of physical systems than the standard formulation of the theory. It also allows one to make predictions in more situations. We motivate the nonstandard formulation with a Bohmian example system that exhibits behavior akin to Earman's (1986) classical space invaders and reverse space invaders. We then use the example to illustrate how the alternative formulation of Bohmian mechanics works.

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Item Type:	Preprint
Creators:	Creators Email ORCID Barrett, Jeffrey A. j.barrett@uci.edu Goldbring, Isaac isaac@math.uci.edu
Keywords:	Bohmian mechanics, determinism, nonstandard analysis, hyperreals, space invaders
Subjects:	General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Jeffrey Barrett
Date Deposited:	15 Mar 2023 13:26
Last Modified:	15 Mar 2023 13:26
Item ID:	21874
Subjects:	General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	14 March 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/21874

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