Uniform Spaces in the Pregeometric Modeling of Quantum Non-Separability
Abstract
We introduce a pregeometry employing uniform spaces over the denumerable set X of spacetime events. The discrete uniformity D_X over X is used to obtain a pregeometric model of macroscopic spacetime neighborhoods. We then use a uniformity base generated by a topological group structure over X to provide a pregeometric model of microscopic spacetime neighborhoods. Accordingly, quantum non-separability as it pertains to non-locality is understood pregeometrically as a contrast between microscopic spacetime neighborhoods and macroscopic spacetime neighborhoods. A nexus between this pregeometry and conventional spacetime physics is implied per the metric induced by D_X. A metric over the topological group Z2 x ... x Z2 is so generated. Implications for quantum gravity are enumerated.
Cite
@article{arxiv.gr-qc/0003104,
title = {Uniform Spaces in the Pregeometric Modeling of Quantum Non-Separability},
author = {W. M. Stuckey and Michael Silberstein},
journal= {arXiv preprint arXiv:gr-qc/0003104},
year = {2016}
}
Comments
17 pages, no figures; revised version submitted to Int. J. Theor. Phys