# Expectation variables on a para-contact metric manifold exactly derived from master equations

## TL;DR

This paper derives a class of dynamical systems for expectation variables from master equations within the framework of information and para-contact metric geometries, advancing the understanding of nonequilibrium processes.

## Contribution

It introduces a novel geometric approach to exactly derive dynamical systems for expectation variables from master equations in nonequilibrium physics.

## Key findings

- Exact derivation of expectation variable dynamics from master equations
- Integration of information and para-contact metric geometries in system formulation
- Enhanced understanding of nonequilibrium process evolution

## Abstract

Based on information and para-contact metric geometries, in this paper a class of dynamical systems is formulated for describing time-development of expectation variables. Here such systems for expectation variables are exactly derived from continuous-time master equations describing nonequilibrium processes.