Holography and the Cosmic Coincidence

TL;DR

This paper explores how the holographic principle applied to the universe's scale can explain the observed cosmological constant and the coincidence between matter and vacuum energy densities, based on entropy analysis of quantum fluctuations.

Contribution

It proposes a holographic explanation for the cosmological constant and the matter-vacuum energy coincidence, extending previous conjectures with entropy considerations.

Findings

Holographic principle can account for the cosmological constant value.

Holography may explain the matter and vacuum energy density coincidence.

Entropy analysis supports the holographic interpretation of cosmic parameters.

Abstract

Based on an analysis of the entropy associated to the vacuum quantum fluctuations, we show that the holographic principle, applied to the cosmic scale, constitutes a possible explanation for the observed value of the cosmological constant, theoretically justifying a relation proposed 35 years ago by Zel'dovich. Furthermore, extending to the total energy density the conjecture by Chen and Wu, concerning the dependence of the cosmological constant on the scale factor, we show that the holographic principle may also lie at the root of the coincidence between the matter density in the universe and the vacuum energy density.