Work

On the nonequilibrium dynamics of gravitational algebras

Year: 2024

Type: article

Abstract: We explore nonequilibrium features of certain operator algebras which appear in quantum gravity. The algebra of observables in a black hole background is a Type II∞ von Neumann algebra. We discuss how this algebra can be coupled to the algebra of observable of an infinite reservoir within the canonical ensemble, aiming to induce nonequilibrium dynamics. The resulting dynamics can lead the system towards a nonequilibrium steady state which can be characterized through modular theory. Within this framework we address the definition of entropy production and its relationship to relative entropy, alongside exploring other applications.

Source: Classical and Quantum Gravity

DOI: 10.1088/1361-6382/ad85bf

Author: Michele Cirafici

Institutions: University of Trieste, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Institute for Geometry and Physics

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Istituto Nazionale di Fisica Nucleare, Gruppo Nazionale per la Fisica Matematica