Informace o publikaci
What Price Fiber Bundle Substantivalism? On How to Avoid Holes in Fibers
| Autoři | |
|---|---|
| Rok publikování | 2026 |
| Druh | Recenzovaný odborný článek |
| Časopis / Zdroj | FOUNDATIONS OF PHYSICS |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://link.springer.com/article/10.1007/s10701-026-00941-x |
| Doi | https://doi.org/10.1007/s10701-026-00941-x |
| Klíčová slova | Gauge theories; Hole argument; Gauge-invariance; Dressing field method; Dressed spaces |
| Přiložené soubory | |
| Popis | 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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