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Spacetime boundaries do not break diffeomorphism and gauge symmetries

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FRANCOIS Jordan Thomas RAVERA L.

Rok publikování 2025
Druh Recenzovaný odborný článek
Časopis / Zdroj PHYSICAL REVIEW D
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://journals.aps.org/prd/abstract/10.1103/pwv6-tg7n
Doi https://doi.org/10.1103/pwv6-tg7n
Klíčová slova Continuous symmetries; Gauge theories; General relativity; Geometry; Gravitation; Symmetries; Spacetime symmetries
Popis In general relativity and gauge field theory, one often encounters a claim, which may be called the boundary problem, according to which “boundaries break diffeomorphism and gauge symmetries”. We argue that this statement has the same conceptual structure as the hole argument, and is thus likewise defused by the point-coincidence argument: We show that the boundary problem dissolves once it is understood that a physical region, thus its boundary, is relationally and invariantly defined. This insight can be technically implemented via the dressing field method, a systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories, whereby physical field-theoretical degrees of freedom co-define each other and define, coordinatize, the physical spacetime. We illustrate our claim with a simple application to the case of general relativity.
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