Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe

TL;DR

This paper explores how the generalized and extended uncertainty principles modify the entropy and dynamics of the FRW universe's apparent horizon, providing insights into quantum gravity effects on cosmological thermodynamics.

Contribution

It introduces corrected entropy formulas based on GUP and EUP and derives modified Friedmann equations from thermodynamic principles, linking quantum gravity to cosmological evolution.

Findings

Entropy of the apparent horizon is corrected by GUP and EUP effects.

Modified Friedmann equations are derived from the corrected entropy and thermodynamics.

Provides a framework connecting quantum gravity corrections to universe dynamics.

Abstract

The influence of the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP) on the thermodynamics of the Friedmann-Robertson-Walker (FRW) universe has been investigated. It is shown that the entropy of the apparent horizon of the FRW universe gets a correction if one considers the effect of the GUP or EUP. Moreover, starting with the modified entropy and applying the first law of thermodynamics, $dE=TdS$, to the apparent horizon of the FRW universe, we obtain the modified Friedmann equations. The influence of the GUP or EUP on the thermodynamics of the FRW universe provides a deep insight into the understanding of the quantum gravity or large length scale corrections to the dynamics of the FRW universe.