On the vacuum entropy and the cosmological constant

TL;DR

This paper explores how the entropy of vacuum quantum fluctuations and holographic bounds could explain the small observed value of the cosmological constant, linking quantum theory and cosmology.

Contribution

It proposes a novel explanation for the cosmological constant based on vacuum entropy and holographic principles, connecting quantum fluctuations to cosmological observations.

Findings

Vacuum entropy is related to the de Sitter horizon area.

Holographic bounds may explain the smallness of the cosmological constant.

Supports Zel'dovich's proposed relation between vacuum energy and the cosmological constant.

Abstract

It is generally accepted that the entropy of an asymptotically de Sitter universe is bounded by the area, in Planck units, of the de Sitter horizon. Based on an analysis of the entropy associated to the vacuum quantum fluctuations, we suggest that the existence of such a holographic bound constitutes a possible explanation for the observed value of the cosmological constant, theoretically justifying a relation proposed 35 years ago by Zel'dovich.