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.

arXiv comment15 pages, 3 figures

References in corpus (33)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Quantum Spacetime Phenomenology
• Universality of Quantum Gravity Corrections
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• The algebraic structure of the generalized uncertainty principle
• On Gravity and the Uncertainty Principle
• A proposal for testing Quantum Gravity in the lab
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• GUP parameter from quantum corrections to the Newtonian potential
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Modified Unruh effect from Generalized Uncertainty Principle
• Testing of Generalized Uncertainty Principle With Macroscopic Mechanical Oscillators and Pendulums
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• GUP parameter from Maximal Acceleration
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Generalized uncertainty principles and quantum field theory
• Spacetime with zero point length is two-dimensional at the Planck scale
• Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
• High energy modifications of blackbody radiation and dimensional reduction
• Heuristic derivation of Casimir effect in minimal length theories
• Searching for Signatures of Quantum Gravity in Quantum Gases
• On the quasi-position representation in theories with a minimal length
• Corrections to the black body radiation due to minimum-length deformed quantum mechanics
• Background independent condensed matter models for quantum gravity
• Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
• Towards quantum gravity measurement by cold atoms
• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry
• Test of Quantum Gravity in Statistical Mechanics
• Planck scale effect on the thermodynamics of photon gas