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

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.

7 papges, no figure, comments are welcome! v2:Typos corrected, some references added; v3:typoes corrected, more references added, final version to appear in Phys. Lett. B