Gravitational algebras and applications to nonequilibrium physics

TL;DR

This paper introduces gravitational algebras and explores their applications in nonequilibrium physics, focusing on entropy production in black holes and fluctuation theorems in de Sitter space, bridging operator algebra theory and gravitational systems.

Contribution

It provides a self-contained introduction to gravitational algebras and extends nonequilibrium dynamical systems theory to gravitational contexts.

Findings

Analysis of entropy production in black hole backgrounds

Discussion of fluctuation theorems in de Sitter spacetime

Connection between operator algebras and gravitational systems

Abstract

This note aims to offer a non-technical and self-contained introduction to gravitational algebras and their applications in the nonequilibrium physics of gravitational systems. We begin by presenting foundational concepts from operator algebra theory and exploring their relevance to perturbative quantum gravity. Additionally, we provide a brief overview of the theory of nonequilibrium dynamical systems in finite dimensions and discuss its generalization to gravitational algebras. Specifically, we focus on entropy production in black hole backgrounds and fluctuation theorems in de Sitter spacetime.