Quantum Gravity Momentum Representation and Maximum Invariant Energy

Details Quantum Gravity Momentum Representation and Maximum Invariant Energy Quantum Gravity Momentum Representation and Maximum Invariant Energy

2004-01-29

arxiv.org/abs/gr-qc/0401117v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LateX file, no figures

Scientific paper

We use the idea of the symmetry between the spacetime coordinates x^\mu and the energy-momentum p^\mu in quantum theory to construct a momentum space quantum gravity geometry with a metric s_{\mu\nu} and a curvature P^\lambda_{\mu\nu\rho}. For a closed maximally symmetric momentum space with a constant 3-curvature, the volume of the p-space admits a cutoff with an invariant maximum momentum a. A Wheeler-DeWitt-type wave equation is obtained in the momentum space representation. The vacuum energy density and the self-energy of a charged particle are shown to be finite, and modifications of the electromagnetic radiation density and the entropy density of a system of particles occur for high frequencies.

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