Title 



Noncommutative space from dynamical noncommutative geometries
 
Author 


  
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 spacetime 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 spacetime.   
Language 



English
 
Source (journal) 



Journal of geometry and physics.  Bologna  
Publication 



Bologna : 2009
 
ISSN 



03930440
 
Volume/pages 



59:2(2009), p. 185196
 
ISI 



000263498600003
 
Full text (Publishers DOI) 


  
