Gomes, Henrique (2024) Gauge theory without principal fiber bundles. [Preprint]

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Abstract

In general relativity, the strong equivalence principle is underpinned by a geometrical account of fields on spacetime, by which all fields and bodies probe the same geometry. This geometric account implies that the parallel transport of all spacetime tensors and spinors is dictated by a single affine connection. No similar account of gauge theory is put forward by standard textbooks, which use principal bundles to coordinate the parallel transport of different, interacting particles. Nonetheless, here I argue that gauge theory \emph{does} afford such a geometric account, obviating the need for principal bundles.

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Item Type:	Preprint
Creators:	Creators Email ORCID Gomes, Henrique gomes.ha@gmail.com 0000-0002-9285-0090
Keywords:	Gauge theory, eliminativism, standard model of particle physics
Subjects:	Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Ontology Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Dr Henrique Gomes
Date Deposited:	15 Oct 2024 13:03
Last Modified:	15 Oct 2024 13:03
Item ID:	24069
Subjects:	Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Ontology Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Symmetries/Invariances
Date:	8 October 2024
URI:	https://philsci-archive.pitt.edu/id/eprint/24069

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