Minimal Length Phenomenology and the Black Body Radiation

TL;DR

This paper explores how the generalized uncertainty principle introduces a minimal length scale, leading to modifications in black body radiation laws at the Planck scale, with implications for quantum gravity theories.

Contribution

It derives Planck's distribution considering a new electromagnetic quantization inspired by GUP, and analyzes the resulting modifications to black body thermodynamics.

Findings

Modified Wien's law at Planck scale

Altered Stefan-Boltzmann law due to GUP effects

Black body radiation thermodynamics are affected at quantum gravity scales

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.