Minimal length, maximal momentum and thermodynamics of black body radiation

In this paper we study thermodynamics of black body radiation in the presence of quantum gravitational effects through a Generalized Uncertainty Principle (GUP) that admits both a minimal measurable length and a maximal momentum. We focus on quantum gravity induced modifications of thermodynamical quantities in this framework. Some important issues such as the generalized Planck distribution, Wien’s law and Dulong-Petit law are studied in this setup with details.

Quantum gravity, Generalized uncertainty principle, Thermodynamics of black body radiation