Fluctuation and Inertia

TL;DR

This paper explores the connection between particle state transitions under acceleration and thermodynamic fluctuation theorems, revealing how external forces maintain entropy balance during these processes.

Contribution

It demonstrates that particle transitions in accelerated frames adhere to fluctuation theorems, linking quantum transitions with thermodynamic principles using Jacobson's horizon idea.

Findings

Transitions obey fluctuation theorem

External force compensates entropy decrease

Links quantum transitions with thermodynamics

Abstract

In this work, using Jacobson's idea: '$\delta$Q=TdS hold for all the local Rindler causal horizons through each spacetime point', we found that the transitions between the excited and ground state of a particle in a linear acceleration satisfy the fluctuation theorem. The up transition from the ground state to the excited state is an entropy-decreasing process, which requires an external force to contribute equal entropy increase to satisfy the second law of thermodynamics.