Equipartition of energy and the first law of thermodynamics at the apparent horizon

TL;DR

This paper demonstrates how the holographic principle and equipartition law can derive the Friedmann equations and interpret the first law of thermodynamics at the apparent horizon of a universe.

Contribution

It introduces a novel approach linking holography, thermodynamics, and cosmological dynamics at the apparent horizon.

Findings

Derives Friedmann equations from holographic and thermodynamic principles.

Shows equipartition law as the first law of thermodynamics at the horizon.

Establishes a thermodynamic interpretation of cosmic evolution.

Abstract

We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann-Robertson-Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon.