Work

Generalized Heisenberg algebra from o(2, 4) Yang model

Year: 2026

Type: article

Abstract: It is well known that the algebra o (2, 4) generates the conformal group, but it can also be used to define some variants of the Yang model of noncommutative geometry on a curved spacetime. Starting from these examples, we construct a new physical model based on o (2, 4), that can be interpreted as a generalization of the Heisenberg algebra n phase space, with flat positions and momenta, but nontrivial commutation relations between positions and momenta and with the Planck constant promoted to an operator.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2026.140834

Authors: Tea Martinić Bilać, Stjepan Meljanac, Salvatore Mignemi

Institutions: Ruđer Bošković Institute, University of Cagliari, Istituto Nazionale di Fisica Nucleare, Sezione di Cagliari

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond