  Planck scale inspired theories which are also often accompanied with maximum
energy and/or momentum scale predict deformed dispersion relations compared to
ordinary special relativity and quantum mechanics. In this paper we resort to
the methods of statistical mechanics in order to determine the effects of a
deformed dispersion relation along with upper bound in partition function as
maximum energy and/or momentum scale can have on the thermodynamics of photon
gas. We have analyzed two distinct quantum gravity models in this paper
