Thermodynamics of the $H^2 + H^{-2}$ Dark Energy model

TL;DR

This paper introduces a novel dark energy model based on the $H^2 + H^{-2}$ form, incorporating Kaniadakis holographic entropy, and explores its thermodynamic properties, including temperature correction and entropy modifications, to address cosmological issues.

Contribution

The study presents a new dark energy model that combines holographic entropy with a specific Hubble parameter dependence, analyzing its thermodynamics and potential to resolve the Hubble tension.

Findings

Model relieves the Hubble tension.

Modified entropy includes an area cubic term.

Derived corrected temperature for the model.

Abstract

In this study, we introduced a phenomenological dark energy model $H^{2}+H^{-2}$ model) that incorporates the first-order approximation of Kaniadakis holographic entropy dark energy and utilizes the Hubble horizon, $1/H$ as the infrared cutoff. The advantage of this model is that it can relieve the Hubble tension issue and cicumventing the potential issue of a "big rip". In this article, we will study the thermodynamics of the model and obtain the corrected temperature. In addition, we found that the model modified the entropy area relationship by adding an area cubic term in addition to the area term.