Title
Noncommutative space from dynamical noncommutative geometries Noncommutative space from dynamical noncommutative geometries
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Bologna ,
Subject
Mathematics
Source (journal)
Journal of geometry and physics. - Bologna
Volume/pages
59(2009) :2 , p. 185-196
ISSN
0393-0440
ISI
000263498600003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We present noncommutative topology as a basis for noncommutative geometry phrased completely in terms of partially ordered sets with operations. In this note we introduce a noncommutative space-time starting from a dynamical system of noncommutative topologies based on the notion of temporal points. At every moment a commutative topological space is constructed and it is shown to approximate the noncommutative space in sheaf theoretical terms; this so called moment space should be the space where observed phenomena should be described, the commutative shadow of the noncommutative space is to be thought of as the usual space-time.
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