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The Metaphysics of Fibre Bundles

Jacobs, Caspar (2022) The Metaphysics of Fibre Bundles. [Preprint]

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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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Item Type: Preprint
Creators:
CreatorsEmailORCID
Jacobs, Casparcaspar.jacobs@merton.ox.ac.uk0000-0001-6903-0468
Keywords: gauge, fiber bundles, electromagnetism, equivalence, symmetries, sophistication, aharonov-bohm effect, locality
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Caspar Jacobs
Date Deposited: 25 Nov 2022 17:04
Last Modified: 25 Nov 2022 17:04
Item ID: 21468
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Symmetries/Invariances
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/21468

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