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A particular framework for quantum gravity is the doubly special relativity(DSR) formalism that introduces a new observer independent scale (the Planckscale). We resort to the methods of statistical mechanics in this framework todetermine how the deformed dispersion relation affects the thermodynamics of aphoton gas. The ensuing modifications to the density of states, partitionfunction, pressure, internal energy, entropy, free energy and specific heat arecalculated. These results are compared with the outcome obtained in the Lorentzviolating model of Camacho and Marcias (Gen. Relativ. Gravit. 39: 1175-1183,2007). The two types of models predict different results due to differentspacetime structure near the Planck scale. The resulting modifications can beinterpreted as a consequence of the deformed Lorentz symmetry present in theparticular model we have considered. In the low energy limit, our calculationcoincides with usual results of photon thermodynamics in special relativity(SR) theory, in contrast to the study presented in (Phys. Rev. D81, 085039(2010)).

Planck scale effect on the thermodynamics of photon gas