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