Kaniadakis Holographic Dark Energy Behavior in f(Q) Theory

Abstract

In this study, the cosmological behavior of the Kaniadakis holographic dark energy model is investigated under the $f\left(Q\right)$ theory within the framework of a flat Friedmann–Robertson–Walker (FRW) universe. The generalized holographic energy density based on Kaniadakis entropy is modeled using the Hubble horizon infrared cutoff scale, and the field equations are solved analytically. Using the obtained solutions, the evolution of fundamental cosmological quantities such as the deceleration parameter, the equation of state parameter, and the statefinder parameters as a function of time and redshift is analyzed in detail. It is shown that the model successfully describes the transition to time-accelerated expansion and gives a value of $q_0\approx -0.508$, consistent with current observational data. Furthermore, it is observed that in the statefinder plane, the model exhibits a dynamic dark energy behavior close to the $\Lambda \mathrm{CDM}$ scenario, but tends toward the de Sitter universe in the long term. The results show that the $f\left(Q\right)$ theory of gravity, when considered together with Kaniadakis holographic dark energy, offers a consistent and viable framework for explaining the late-stage accelerating expansion of the universe.