Planck's Radiation Law in the Quantized Universe

Abstract

Physical research looks for clues to quantum properties of the gravitational field. On the basis of the common Schrödinger 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.

arXiv comment26 pages, 10 figures, some small text corrections, new references added

References in corpus (9)

• A proposal for testing Quantum Gravity in the lab
• Removing black-hole singularities with nonlinear electrodynamics
• Living with Infinities
• Entropy bound of local quantum field theory with generalized uncertainty principle
• Standard and derived Planck quantities: selected analysis and derivations
• Phenomenological Quantum Gravity
• Quantum Dust Black Holes
• Schroedinger Equation of the Schwarzschild Black Hole
• Modified gravity or modified matter ?

Cited by in corpus (2)

• Ideal Quantum Gases with Planck Scale Limitations
• The Early Universe and Planck's Radiation Law