Emergent discrete time and quantization: relativistic particle with extradimensions
General Relativity and Quantum Cosmology
2010-11-19 v3 High Energy Physics - Theory
Quantum Physics
Abstract
We study the reparametrization invariant system of a classical relativistic particle moving in (5+1) dimensions, of which two internal ones are compactified to form a torus. A discrete physical time is constructed based on a quasi-local invariant observable. Due to ergodicity, it is simply related to the proper time on average. The external motion in Minkowski space can then be described as a unitary quantum mechanical evolution.
Cite
@article{arxiv.gr-qc/0301109,
title = {Emergent discrete time and quantization: relativistic particle with extradimensions},
author = {H. -T. Elze},
journal= {arXiv preprint arXiv:gr-qc/0301109},
year = {2010}
}
Comments
13 pages, 6 figures; replaced with embedded figures and fixed layout