Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem

TL;DR

This paper explores how entropy influences the dark energy problem, introduces a new small parameter in holographic models, and discusses implications for quantum gravity and uncertainty relations in cosmology.

Contribution

It identifies a new small dimensionless parameter in dark energy models and links it to high-energy gravitational thermodynamics, proposing a novel approach to quantum gravity.

Findings

Fundamental quantities in holographic dark energy models relate to a new small parameter.

The small parameter naturally appears in high-energy gravitational thermodynamics.

Revised uncertainty relations involving the cosmological constant and space-time volume.

Abstract

It is demonstrated that entropy and its density play a significant role in solving the problem of the vacuum energy density (cosmological constant) of the Universe and hence the dark energy problem. Taking this in mind, two most popular models for dark energy - Holographic Dark Energy Model and Agegraphic Dark Energy Model - are analyzed. It is shown that the fundamental quantities in the first of these models may be expressed in terms of a new small dimensionless parameter. It is revealed that this parameter is naturally occurring in High Energy Gravitational Thermodynamics and Gravitational Holography (UV-limit). On this basis the possibility of a new approach to the problem of Quantum Gravity is discussed. Besides, the results obtained on the uncertainty relation of the pair "cosmological constant - volume of space-time", where the cosmological constant is a dynamic quantity, are reconsidered and generalized up to the Generalized Uncertainty Relation.