A Dynamical Cosmological Term from the Verlinde's Maps

TL;DR

This paper proposes a new generalization of Verlinde's maps for non-zero cosmological constant, leading to a thermodynamics-based derivation of an inverse square-law behavior for the cosmological term.

Contribution

It introduces a novel generalization of Verlinde's maps applicable when the cosmological constant is non-zero, connecting thermodynamics to cosmological dynamics.

Findings

Derivation of an inverse square-law behavior for the cosmological term.

Extension of Verlinde's maps to cases with non-zero cosmological constant.

Abstract

In this letter it is proposed another generalization of the Verlinde's maps for the case $\Lambda \neq 0$. Thermodynamical arguments combined with this proposal conduce to a inverse square-law cosmological term behavior.