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Research Article Open access CC BY 4.0

Energy Spectrum for Gravitational Waves

W. F. Chagas- Filho

Physical Science International Journal · pp. 24–31 · Published 17 Jun 2020

10.9734/psij/2020/v24i430186

Abstract

Loop Quantum Gravity (LQG) is a formalism for describing the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity (GR). The most important result of LQG is that geometric quantities such as area and volume are not arbitrary but are quantized in terms of a minimum length. In this paper we investigate the possibility of combining the notion of a minimum length with the basic equations that describe wave propagation. We find that the minimum length, combined with the constancy of the speed of light, induces a natural spectrum for the energy of a gravitational wave.

Constrained Hamiltonian systems electrodynamics general relativity quantum gravity.

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