From minimal-length quantum theory to modified gravity
Year: 2026
Authors: D’Agostino R., Bosso P., Luciano G.G.
Autors Affiliation: INAF Osservatorio Astron Roma, Via Frascati 33, I-00078 Monte Porzio Catone, Italy; Sez Roma 1, INFN, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Ist Nazl Ottica, CNR INO, Via Campi Flegrei 34, I-80078 Pozzuoli, Italy; Univ Lleida, Escuela Politecn Super Lleida, Dept Quim Fis & Ciencias Ambientales & Suelo, Ave Jaume 2,69, Lleida 25001, Spain.
Abstract: In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective gravitational actions extending general relativity. By examining quantum gravity-motivated corrections to black hole entropy induced by the GUP and employing Wald’s formalism, we reconstruct modifications to Einstein’s gravity within the contexts of f(R) and f(R, R mu nu R mu nu) theories. In this way, we establish a direct mapping between the GUP parameters and the higher-order curvature coefficients in the gravitational Lagrangian. As an illustrative application, we compute corrections to the general relativistic prediction for light deflection, which in turn allows us to infer a stringent upper bound on the minimal measurable length. Our results show that GUP-induced effects can be consistently embedded into extended gravity theories, offering a promising framework for testing quantum gravity phenomenology through astrophysical and cosmological observations.
Journal/Review: PHYSICS LETTERS B
Volume: 878 Pages from: RoccoD?Agostino to: RoccoD?Agostino
KeyWords: Quantum gravity phenomenology; Generalized uncertainty princple; Extended thories of gravityDOI: 10.1016/j.physletb.2026.140519
