From Relation to Gauge Geometry. Presymplectic Reduction and Localization of Bilocal Constraint Orbits
Year: 2026
Type: preprint
Abstract: In previous work, the radial sector of bilocal phase spacewas shown to generate a distinguished relational time coordinatethrough the geometry of constraint orbits. The present paper investigates the complementary angular sector.We show that the angular sector admits a natural presymplectic reduction whose reduced phase space is a symplectic orbit carrying a Hamiltonian group action. Localizing this reduced internal geometry over spacetime naturally produces a connection, covariant momenta, and the Yang–Mills curvature. The resulting construction leads from the geometry ofconstraint orbits to Yang--Mills-type structures withoutintroducing gauge fields as fundamental objects.
Author: Tymiński, Andrzej
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166346737
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