Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893456 | Journal of Geometry and Physics | 2009 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Freddy Van Oystaeyen,