Is thermodynamics of the universe bounded by the event horizon a Bekenstein system?

TL;DR

This paper investigates whether the universe bounded by an event horizon can be considered a Bekenstein system, demonstrating the equivalence of Einstein's equations and the first law of thermodynamics under certain conditions.

Contribution

It shows that the universe bounded by the event horizon can be a Bekenstein system when the temperature is appropriately chosen, linking thermodynamics and Einstein's equations.

Findings

Universe bounded by the event horizon may be a Bekenstein system

Einstein's equations and the first law of thermodynamics are equivalent on the event horizon

Appropriate temperature choice is crucial for thermodynamic validity

Abstract

In this brief communication, we have studied the validity of the first law of thermodynamics for the universe bounded by event horizon with two examples. The key point is the appropriate choice of the temperature on the event horizon. Finally, we have concluded that universe bounded by the event horizon may be a Bekenstein system and the Einstein's equations and the first law of thermodynamics on the event horizons are equivalent.