Emergence of Cosmic Space and Horizon Thermodynamics from Kaniadakis Entropy

TL;DR

This paper explores how Kaniadakis entropy influences the emergence of cosmic space and horizon thermodynamics, leading to modified Friedmann equations and insights into the universe's thermodynamic laws.

Contribution

It introduces a novel application of Kaniadakis entropy to derive modified Friedmann equations and connect cosmic emergence with horizon thermodynamics.

Findings

Derived modified Friedmann equations using Kaniadakis entropy.

Established the link between emergence of space and thermodynamics laws.

Analyzed conditions for the Generalized second law in this framework.

Abstract

Utilizing Kaniadakis entropy associated with the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe and applying the emergence of cosmic space paradigm, we deduce the modified Friedmann equation for a non-flat (n+1)-dimensional universe. Employing the first law of thermodynamics, we arrive at the same modified Friedmann equation, showing the connection between emergence of cosmic space and first law of thermodynamics. We also establish the condition to satisfy the Generalized second law of thermodynamics within the Kaniadakis framework. Our study illuminates the intricate connection between the law of emergence and horizon thermodynamics, offering a deeper insight through the lens of Kaniadakis entropy.