# Holographic equipartition and the maximization of entropy

## TL;DR

This paper explores how the universe's accelerated expansion aligns with the holographic equipartition law, which implies entropy maximization, and demonstrates that the standard cosmological model is consistent with this principle.

## Contribution

It establishes a connection between holographic equipartition and entropy maximization, showing the standard cosmological model adheres to this law.

## Key findings

- Universe's expansion obeys holographic equipartition
- Entropy tends to a maximum in cosmological evolution
- Standard ΛCDM model is consistent with the law

## Abstract

\begin{abstract} The accelerated expansion of the universe can be interpreted as a tendency to satisfy the holographic equipartition. It can be expressed by a simple law, $\Delta V = \Delta t\left(N_{surf}-\epsilon N_{bulk}\right),$ where $V$ is the Hubble volume in Plank units, $t$ is the cosmic time plank units and $N_{surf/bulk}$ is the degrees of freedom on the horizon/bulk of the universe. We show that this holographic equipartition law effectively implies the maximization of entropy. In the cosmological context, a system that obeys the holographic equipartition law behaves as an ordinary macroscopic system that proceeds to an equilibrium state of maximum entropy. We consider the standard $\Lambda$CDM model of the universe and have shown that it is consistent with the holographic equipartition law. Analyzing the entropy evolution we find that it also proceeds to an equilibrium state of maximum entropy.