Exploring the Interplay Between Wave Function Realism and Gauge Symmetry Interpretations in Quantum Mechanics

Foundations of Physics 54 (4):1-18 (2024)
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Abstract

This paper examines the tension between wave function realism and interpretations of gauge symmetries within quantum mechanics. We explore how traditional views of gauge symmetries as descriptive redundancies challenge the principles of wave function realism, which regards the wave function as a real entity. By noting that, through the case study of a quantum particle in an electromagnetic field, gauge transformations impact the wave function’s phase, we present a dilemma for wave function realism. We discuss potential resolutions, including redefining ontological commitments to accommodate gauge-invariance.

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Marco Sanchioni
Università degli Studi di Urbino

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References found in this work

Symmetry as an Epistemic Notion.Shamik Dasgupta - 2016 - British Journal for the Philosophy of Science 67 (3):837-878.
The Structure of a Quantum World.Jill North - 2013 - In Alyssa Ney & David Albert (eds.), The Wave Function: Essays on the Metaphysics of Quantum Mechanics. , US: Oxford University Press USA. pp. 184-202.
Quantum Mechanics and 3 N - Dimensional Space.Bradley Monton - 2006 - Philosophy of Science 73 (5):778-789.
Quantum physics without quantum philosophy.Detlef Dürr, Sheldon Goldstein & Nino Zanghì - 1995 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 26 (2):137-149.

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