Gauge and ghosts

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים


This article suggests a fresh look at gauge symmetries, with the aim of drawing a clear line between the a priori theoretical considerations involved, and some methodological and empirical non-deductive aspects that are often overlooked. The gauge argument is primarily based on a general symmetry principle expressing the idea that a change of mathematical representation should not change the form of the dynamical law. In addition, the ampliative part of the argument is based on the introduction of new degrees of freedom into the theory according to a methodological principle that is formulated here in terms of correspondence between passive and active transformations. To demonstrate how the two kinds of considerations work together in a concrete context, I begin by considering spatial symmetries in mechanics. I suggest understanding Mach’s principle as a similar combination of theoretical, methodological and empirical considerations, and demonstrate the claim with a simple toy model. I then examine gauge symmetries as a manifestation of the two principles in a quantum context. I further show that in all of these cases the relational nature of physically significant quantities can explain the relevance of the symmetry principle and the way the methodology is applied. In the quantum context, the relevant relational variables are quantum phases.

שפה מקוריתאנגלית
עמודים (מ-עד)773-796
מספר עמודים24
כתב עתBritish Journal for the Philosophy of Science
מספר גיליון3
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - ספט׳ 2021
פורסם באופן חיצוניכן

הערה ביבליוגרפית

Publisher Copyright:
© The Authors. Published by The University of Chicago Press for The British Society for the Philosophy of Science.

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