Thermodynamic Prescription of Cosmological Constant in Randall Sundrum-II Brane

TL;DR

This paper uses quantum-corrected entropy and holographic principles to derive a thermodynamic perspective on the cosmological constant within the Randall-Sundrum II brane model, linking thermodynamics and cosmology.

Contribution

It introduces a thermodynamic approach incorporating GUP-corrected entropy to constrain the cosmological constant in RS-II brane cosmology.

Findings

Extra driving term in Friedmann equation resembles cosmological constant.

Thermodynamic constraints align this term with observed cosmological constant.

Quantum corrections influence the effective cosmological dynamics.

Abstract

In this work, we apply quantum corrected entropy function derived from the Generalized Uncertainty Principle (GUP) to the Holographic Equipartition Law to study the cosmological scenario in Randall-Sundrum (RS) II brane. An extra driving term has come up in the effective Friedmann equation for a homogeneous, isotropic and spatially flat universe. Further, thermodynamic prescription of the universe constraints this term eventually with order equivalent to that of the cosmological constant.