Minimal Length Phenomenology and the Black Body Radiation

Abstract

The generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position giving room for a minimal length, as predicted by candidates theories of quantum gravity. Inspired by GUP, Planck's distribution is derived by considering a new quantization of the electromagnetic field. We elaborate on the thermodynamics of the black body radiation obtaining Wien's law and the Stefan-Boltzmann law. We show that such thermodynamics laws are modified at Planck-scale.

15 pages, 3 figures

References in corpus (6)

• Universality of Quantum Gravity Corrections
• GUP parameter from quantum corrections to the Newtonian potential
• Generalized uncertainty principles and quantum field theory
• Heuristic derivation of Casimir effect in minimal length theories
• On the quasi-position representation in theories with a minimal length
• Test of Quantum Gravity in Statistical Mechanics