On Modification of Phase-Space Measure in Theory with Invariant Planck Scale as an Ultraviolet Cut-Off

Planck scale acts as a threshold where a new description of spacetime is expected to appear. Such a scale should be invariant which is achieved by modifying the algebra. For the exotic spacetimes appearing at Planck scale, the phase-space is also expected to modify. Considering such a modification in a relativistic theory with an invariant Planck scale as an ultraviolet cut-off, we study the thermodynamics of ideal gases. In case of ideal photon gas this leads to the modification of Planck energy density distribution and Wien’s displacement law. We also study various equilibrium thermodynamic properties of blackbody radiation.