Projective Systems of Noncommutative Lattices as a Pregeometric Substratum

1998/10/14 by Giovanni Landi, Landi, Giovanni, Fedele Lizzi +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #hep-lat #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/9810011

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)

arxiv created 1998/10/14 · arxiv updated 2009/11/30

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.

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