The Relative Entropy as an Increasing Function of Time in Cosmology

TL;DR

This paper demonstrates that relative entropy consistently increases over time during large scale structure formation in cosmology, applicable to both linear and non-linear regimes.

Contribution

It establishes the monotonic increase of relative entropy over time in cosmological structure formation, covering both linear and non-linear regimes.

Findings

Relative entropy increases over time in the linear regime.

Relative entropy increases over time in the non-linear regime.

The result applies generally during large scale structure formation.

Abstract

In this paper, it is shown that the relative entropy is an increasing function of time in both the linear regime and the non-linear regime during the large scale structure formation in cosmology.