Jacobs C. The metaphysics of fibre bundles.
Stud Hist Philos Sci 2023;
97:34-43. [PMID:
36525712 DOI:
10.1016/j.shpsa.2022.11.010]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2021] [Revised: 09/13/2022] [Accepted: 11/24/2022] [Indexed: 06/17/2023]
Abstract
Recently, Dewar (2019) has suggested that one can apply the strategy of 'sophistication'-as exemplified by sophisticated substantivalism as a response to the diffeomorphism invariance of General Relativity-to gauge theories such as electrodynamics. This requires a shift to the formalism of fibre bundles. In this paper, I develop and defend this suggestion. Where my approach differs from previous discussions is that I focus on the metaphysical picture underlying the fibre bundle formalism. In particular, I aim to affirm the physical reality of gauge properties. I argue that this allows for a local and separable explanation of the Aharonov-Bohm effect. Its puzzling features are explained by a form of holism inherent to fibre bundles.
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