Berghofer, Philipp and François, Jordan and Ravera, Lucrezia (2025) What Price Fiber Bundle Substantivalism? On How to Avoid Holes in Fibers. [Preprint]
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Abstract
On a mathematically foundational level, our most successful physical theories (gauge field theories and general-relativistic theories) are formulated in a framework based on the differential geometry of connections on principal bundles. After reviewing the essentials of this framework, we articulate the generalized hole and point-coincidence arguments, examining how they weight on a substantivalist position towards bundle spaces. This question, then, is considered in light of the Dressing Field Method, which allows a manifestly invariant reformulation of gauge field theories and general-relativistic theories, making their conceptual structure more transparent: it formally implements the point-coincidence argument and thus allows to define (dressed) fields and (dressed) bundle spaces immune to hole-type arguments.
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| Item Type: | Preprint | ||||||||||||
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| Keywords: | Gauge theories, Hole argument, Gauge-invariance, Dressing Field Method, Dressed spaces. | ||||||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Dr. Lucrezia Ravera | ||||||||||||
| Date Deposited: | 19 May 2025 13:02 | ||||||||||||
| Last Modified: | 19 May 2025 13:02 | ||||||||||||
| Item ID: | 25363 | ||||||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 19 May 2025 | ||||||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/25363 |
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