Effects of Spatial Curvature on Blackbody Radiation: Modifications to Energy Distribution and Fundamental Laws

TL;DR

This paper explores how spatial curvature affects blackbody radiation, revealing modifications to energy distribution and fundamental laws through an analog model that replaces straight-line oscillators with circular ones.

Contribution

It introduces a novel analog model using oscillators on a circle to study blackbody radiation in curved space, deriving curvature-dependent modifications to classical laws.

Findings

Curvature reduces the height and width of the Planck function.

Increased curvature causes a redshift in the peak frequency.

Spatial curvature alters the Stefan-Boltzmann, Rayleigh-Jeans, and Wien laws.

Abstract

In this paper, we investigate the effects of spatial curvature on blackbody radiation. By employing an analog model of general relativity, we replace the conventional straight-line harmonic oscillators used to model blackbody radiation with oscillators on a circle. This innovative approach provides an effective framework for describing blackbody radiation influenced by spatial curvature. We derive the curvature-dependent Planck energy distribution and find that moving from flat to curved space results in a reduction in both the height and width of the Planck function. Moreover, increasing the curvature leads to a pronounced redshift in the peak frequency. We also analyze the influence of spatial curvature on the Stefan-Boltzmann law, Rayleigh-Jeans law, and Wien law.