Quantization in Spacetime from Null Paths in Higher Dimensions
Abstract
Massive particles on timelike paths in spacetime can be viewed as moving on null paths in a higherdimensional manifold. This and other consequences follow from the use of Campbell's theorem to embed 4D general relativity in noncompactified 5D KaluzaKlein 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2008
 arXiv:
 arXiv:0812.2254
 Bibcode:
 2008arXiv0812.2254W
 Keywords:

 Physics  General Physics;
 General Relativity and Quantum Cosmology