Black-body radiation for twist-deformed space-time

TL;DR

This paper explores how twist-deformed noncommutative space-time alters black-body radiation, deriving modified distribution functions and showing significant damping effects, with implications for understanding quantum gravity effects.

Contribution

It introduces the $ heta$-deformed Planck distribution and analyzes its impact on black-body radiation, a novel approach in noncommutative geometry applications.

Findings

Space-time noncommutativity strongly damps black-body radiation.

Derived $ heta$-deformed Planck, Rayleigh-Jeans, and Wien distributions.

Numerical integration shows significant deviations from classical results.

Abstract

In this article we formally investigate the impact of twisted space-time on black-body radiation phenomena, i.e. we derive the $\theta$-deformed Planck distribution function as well as we perform its numerical integration to the $\theta$-deformed total radiation energy. In such a way we indicate that the space-time noncommutativity very strongly damps the black-body radiation process. Besides we provide for small parameter $\theta$ the twisted counterparts of Rayleigh-Jeans and Wien distributions respectively.