First and second laws of modified gravity theories on dynamical holographic screens

TL;DR

This paper demonstrates that the field equations of certain modified gravity theories can be reformulated as thermodynamic laws on dynamical holographic screens, linking gravity and thermodynamics.

Contribution

It introduces a novel approach to express modified gravity equations as thermodynamic laws on dynamical holographic screens.

Findings

Field equations recast as thermodynamic first law

Thermodynamic second law established for these theories

Links gravity dynamics with thermodynamic principles

Abstract

We show that field equations of some typical modified gravity theories can be recast as thermodynamic first law on dynamical holographic screens. The thermodynamic second law are also presented.