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.
Minimal length phenomenology and the black body radiation
Bosso P.
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2022-01-01
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.File in questo prodotto:
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