Holographic vacuum energy regularization and corrected entropy of de Sitter space

TL;DR

This paper introduces a holographic regularization method for vacuum energy in de Sitter space, deriving corrected entropy and temperature by analyzing the apparent horizon spectrum through quantum and thermodynamic principles.

Contribution

It presents a novel approach linking the apparent horizon spectrum to vacuum energy regularization and thermodynamic corrections in de Sitter spacetime.

Findings

Derived corrected entropy and temperature of de Sitter space

Linked horizon spectrum to vacuum energy regularization

Provided new thermodynamic insights into de Sitter spacetime

Abstract

We propose that the spectrum of the surface area of the apparent horizon (AH) of de Sitter (dS) spacetime leads to corrected temperature and entropy of the dS spacetime, offering new insights into its thermodynamic properties. This is done by employing the spectrum of the AH radius, acquired from the Wheeler--DeWitt (WDW) equation, together with the Stefan--Boltzmann law, the time-energy uncertainty relation, and the unified first law of thermodynamics.