Holographic principle and dark energy

TL;DR

This paper explores the connection between holographic entropy bounds and dark energy, deriving a holographic energy density from Bekenstein-Hawking entropy and linking it to the universe's acceleration.

Contribution

It introduces a method to derive holographic energy density using Bekenstein-Hawking entropy and relates it to the accelerating universe via vacuum fluctuations.

Findings

Holographic energy bound aligns with Bekenstein-Hawking bound for weakly gravitating systems.

Holographic energy density associated with the future event horizon can explain cosmic acceleration.

Vacuum fluctuations can account for the holographic dark energy density.

Abstract

We discuss the relationship between holographic entropy bounds and gravitating systems. In order to obtain a holographic energy density, we introduce the Bekenstein-Hawking entropy $S_{\rm BH}$ and its corresponding energy $E_{\rm BH}$ using the Friedman equation. We show that the holographic energy bound proposed by Cohen {\it et al} comes from the Bekenstein-Hawking bound for a weakly gravitating system. Also we find that the holographic energy density with the future event horizon deriving an accelerating universe could be given by vacuum fluctuations of the energy density.