Work

Generalized uncertainty principle theory with a single constraint

Year: 2026

Type: article

Abstract: We aim to analyze the consistency of the deformation of the Heisenberg algebra in the setting of constrained Hamiltonian systems, providing a procedure to induce the deformation on the Poisson algebra after symplectic reduction. We investigate this in the context of the classical interpretation of Generalized Uncertainty Principle theories, treating two cases separately. For the first case, we consider a group action on the phase space together with a set of first-class constraints that can be interpreted as a momentum map. We furnish an explicit example in the case of rotational invariant deformed algebras. In the second case, we consider a single constraint provided by the Hamiltonian, which is a common instance in General Relativity, with straightforward application in cosmology.

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s021988782650115x

Authors: Matteo Bruno, Sebastiano Segreto

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministero dell'Università e della Ricerca

Award: G7848950412