Statistical description of ideal gas at Planck scale with strong quantum gravity measurement

It has been recently introduced a set of noncommutative algebra that describes the space at the Planck scale [J. Phys. A: Math. Theor. 53, 115303 (2020)]. The interesting significant result we found is that the generalized uncertainty principle induced a maximal length of quantum gravity which revealed strong quantum gravitational effects at this scale [J. Phys. A: Math. Theor. 55, 105303 (2022)]. Based on these works, we study the thermodynamic quantities within the canonical ensembles of an ideal gas made up of N indistinguishable particles at this scale. A comparison with the results obtained in the context of minimal length scenarios and in Reissner-Nordström's black hole indicates that the maximal length in this theory induces logarithmic corrections of deformed parameter which are consequences of strong quantum gravitational effects.