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

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.