Quantum Effects of an Extra Compact Dimension on the Wave Function of the Universe
General Relativity and Quantum Cosmology
2007-05-23 v2 High Energy Physics - Theory
Abstract
We extend the direct quantum approach of the standard FRW cosmology from 4D to 5D and obtain a Hamiltonian formulation for a wave-like 5D FRW cosmology. Using a late-time approximation we isolate out a y-part from the full wave function of the 5D Universe. Then we find that the compactness of the fifth dimension y yields a quantized spectrum for the momentum along the fifth dimension, and we show that the whole space-part of the wave function of the 5D Universe satisfies a two-dimensional Schr\"odinger equation.
Keywords
Cite
@article{arxiv.gr-qc/0111062,
title = {Quantum Effects of an Extra Compact Dimension on the Wave Function of the Universe},
author = {Guowen Peng and Hongya Liu and Qiuyang Zhang},
journal= {arXiv preprint arXiv:gr-qc/0111062},
year = {2007}
}
Comments
10 pages, no figures; to appear in Int. J. Theor. Phys. (2002)