  We study the statistical mechanics of the early radiation dominated universe
in the context of a generalized uncertainty principle which supports the
existence of a minimal length scale. Utilizing the resultant modified
thermodynamical quantities, we obtain a deformed Friedmann equation which is
very similar to that arises from loop quantum cosmology scenarios. The energy
and entropy densities get maximum bounds about Planck temperature and a
nonsingular universe then emerges in this setup.
