Unruh effect and information entropy approach

TL;DR

This paper calculates the entropy generated by the Unruh effect over finite time, considering particle mass and providing analytic expressions for boson and fermion spectra, advancing understanding of quantum field effects in non-inertial frames.

Contribution

It introduces a finite-time framework for entropy calculation in the Unruh effect, including particle mass dependence and analytic spectral expressions, extending previous infinite-time models.

Findings

Entropy depends on acceleration and particle mass.

Analytic expressions for boson and fermion spectra are derived.

Results apply to low and high acceleration limits.

Abstract

Total entropy generated by the Unruh effect is calculated within the framework of information theory. In contrast to previous studies, here the calculations are done for the finite time of existence of the non-inertial reference frame. In this case only the finite number of particles is produced. Dependence on mass of the emitted particles is taken into account. Analytic expression for the entropy of radiated boson and fermion spectra is derived. We study also its asymptotics corresponding to limiting cases of low and high acceleration. The obtained results can be further generalized to other intrinsic degrees of freedom of the emitted particles, such as spin and electric charge.