General Relativistic Fluctuation Theorems

TL;DR

This paper extends fluctuation theorems to curved spacetime using a covariant approach in general relativistic stochastic thermodynamics, maintaining covariance and describing time-reversal as observer perspective change.

Contribution

It introduces a covariant framework for fluctuation theorems in general relativity, preserving covariance and defining time-reversal via observer perspective.

Findings

Proved detailed and integral fluctuation theorems in curved spacetime.

Maintained general covariance in the formulation.

Described time-reversal as a transformation between observer perspectives.

Abstract

Using the recently proposed covariant framework of general relativistic stochastic mechanics and stochastic thermodynamics, we proved the detailed and integral fluctuation theorems in curved spacetime. The time-reversal transformation is described as a transformation from the perspective of future-directed observer to that of the corresponding past-directed observer, which enables us to maintain general covariance throughout the construction.