Planck's Radiation Law in the Quantized Universe

TL;DR

This paper proposes a modified Planck radiation law derived from a quantum model of the universe, suggesting a universal energy quantization limit at the Planck scale, which could reveal quantum gravity effects.

Contribution

It introduces a quantum cosmological model leading to a modified black-body radiation law based on energy quantization at the Planck scale.

Findings

Universal energy level spacing limited by Planck energy

Modified Planck radiation law derived from quantum universe model

Potential experimental implications for quantum gravity

Abstract

Physical research looks for clues to quantum properties of the gravitational field. On the basis of the common Schr\"odinger theory, a simple model of the quantization of a Friedmann universe comprising dust and radiation is investigated. With regard to energy quantization, the result suggests a universal limitation of the energy spacing between neighbouring quantum states by the Planck energy. Applied to black-body radiation, a modified Planck radiation law follows. If this could be verified in the laboratory, it would provide a direct hint at quantum properties of the space-time manifold.