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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2000
- DOI:
- 10.48550/arXiv.gr-qc/0003104
- arXiv:
- arXiv:gr-qc/0003104
- Bibcode:
- 2000gr.qc.....3104S
- Keywords:
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- General Relativity and Quantum Cosmology;
- Quantum Physics
- E-Print:
- 17 pages, no figures