Emergence of Quantum-Corrected Geodesics from Geometric Saturation

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Authors: JUAN ALBERTO MEDINA ALBARENGA
Cited by: 0

Abstract

A covariant mechanism is proposed by which quantum-corrected trajectories arise from a geometrically saturated effective action rather than from operator-valued connection fluctuations. Thestarting point is a unified effective average action in which a single rigidity scale κc bounds admissible curvature densities through a geometric exclusion principle. Near the saturation domain, thecurvature block induces an effective repulsive potential for localized excitations, or equivalently aconformally deformed effective metric felt by matter probes. Varying the worldline action yields ageodesic equation supplemented by an anomalous force proportional to the projected gradient of asaturation scalar. In the weak-curvature regime the correction vanishes and general relativity is recovered, whereas near compact objects the correction regularizes inward motion and predicts delayedpropagation effects tied to finite-curvature cores. The construction produces a self-contained routefrom geometric saturation to quantum-corrected geodesics and identifies observational channels inshort-distance gravity, strong-field orbital dynamics, and black-hole ringdown phenomenology.

Fields of Study & Subjects

Noncommutative and Quantum Gravity Theories Relativity and Gravitational Theory Black Holes and Theoretical Physics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 March 2026
Language
EN
Document type
Preprint