A Puzzle Concerning Local Symmetries and Their Empirical Significance

British Journal for the Philosophy of Science 73 (4):1021-1044 (2022)
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Abstract

In the last 5 years, the controversy about whether or not gauge transformations can be empirically significant has intensified. On the one hand, Greaves and Wallace developed a framework according to which, under some circumstances, gauge transformations can be empirically significant—and Teh further supported this result by using the constrained Hamiltonian formalism. On the other hand, Friederich claims to have proved that gauge transformation can never be empirically significant. In this article, I accomplish two tasks. First, I argue that there are strong reasons to resist Friederich’s proof because one of its assumptions is, at the very least, highly controversial. Second, I argue that despite criticism by Brading and Brown and Friederich, ‘t Hooft’s beam-splitter experiment is indeed a concrete example of a case where a local gauge symmetry has empirical significance. By shedding light on these two points, this article shows that recent arguments that claim gauge transformations cannot be empirically significant are not satisfactory.

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References found in this work

Empirical Consequences of Symmetries.David Wallace & Hilary Greaves - 2014 - British Journal for the Philosophy of Science 65 (1):59-89.
Are gauge symmetry transformations observable?Katherine Brading & Harvey R. Brown - 2004 - British Journal for the Philosophy of Science 55 (4):645-665.
Perfect symmetries.Richard Healey - 2009 - British Journal for the Philosophy of Science 60 (4):697-720.
Gauging the boundary in field-space.Henrique Gomes - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:89-110.

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