Quantization in Spacetime from Null Paths in Higher Dimensions
General Physics
2009-01-29 v2 General Relativity and Quantum Cosmology
Abstract
Massive particles on timelike paths in spacetime can be viewed as moving on null paths in a higher-dimensional manifold. This and other consequences follow from the use of Campbell's theorem to embed 4D general relativity in non-compactified 5D Kaluza-Klein theory. We now show that it is possible in principle to obtain the standard rule for quantization in 4D from the canonical metric with null paths in 5D. Particle mass can be wavelike, as suggested originally by Dirac, and other 4D/5D consequences are outlined.
Cite
@article{arxiv.0812.2254,
title = {Quantization in Spacetime from Null Paths in Higher Dimensions},
author = {Paul S. Wesson},
journal= {arXiv preprint arXiv:0812.2254},
year = {2009}
}