Projective Systems of Noncommutative Lattices as a Pregeometric Substratum
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
math.MP
Quantum Physics
Abstract
We present an approximation to topological spaces by {\it noncommutative} lattices. This approximation has a deep physical flavour based on the impossibility to fully localize particles in any position measurement. The original space being approximated is recovered out of a projective limit.
Keywords
Cite
@article{arxiv.math-ph/9810011,
title = {Projective Systems of Noncommutative Lattices as a Pregeometric Substratum},
author = {Giovanni Landi and Fedele Lizzi},
journal= {arXiv preprint arXiv:math-ph/9810011},
year = {2007}
}
Comments
30 pages, Latex. To appear in `Quantum Groups and Fundamental Physical Applications', ISI Guccia, Palermo, December 1997, D. Kastler and M. Rosso Eds., (Nova Science Publishers, USA)