The metaphysics of fibre bundles

Jacobs, Caspar

doi:10.1016/j.shpsa.2022.11.010

Studies in History and Philosophy of Science

2023

DOI: 10.1016/j.shpsa.2022.11.010

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The metaphysics of fibre bundles

Caspar Jacobs

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2024

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Cited by 2 publications

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Gauge Theory Without Principal Fiber Bundles

Gomes

2024

Philos. sci.

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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 does afford such a geometric account, obviating the need for principal bundles.

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Gauge Theory Without Principal Fiber Bundles

Gomes

2024

Philos. sci.

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Symmetries as Isomorphisms

Chen

2024

The British Journal for the Philosophy of Science

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The metaphysics of fibre bundles

Cited by 2 publications

References 37 publications

Gauge Theory Without Principal Fiber Bundles

Gauge Theory Without Principal Fiber Bundles

Symmetries as Isomorphisms

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