Entropy of the FRW universe based on the generalized uncertainty principle

TL;DR

This paper calculates the statistical entropy of a time-dependent FRW universe using a modified brick wall method based on the generalized uncertainty principle, linking minimal length at the Planck scale to horizon area.

Contribution

It introduces a novel approach to compute the universe's entropy incorporating the generalized uncertainty principle with minimal length.

Findings

Entropy proportional to the apparent horizon area

Minimal length determined at the Planck scale

Modified brick wall method applied to time-dependent metrics

Abstract

The statistical entropy of the FRW universe described by time-dependent metric is newly calculated using the brick wall method based on the general uncertainty principle with the minimal length. We can determine the minimal length with the Plank scale to obtain the entropy proportional to the area of the cosmological apparent horizon.