Time and physics — a noncommutative revolution

Michał Heller

pp. 47-56

in: Helena Eilstein (ed), A collection of Polish works on philosophical problems of time and spacetime, Berlin, Springer, 2002

Abstract

Basic ideas of noncommutative geometry are briefly presented. This mathematical theory, being global from the very beginning, can be used to model physics in which local concepts, such as those of time instant and space point, are meaningless. In spite of the lack of the standard time concept a "noncommutative dynamics" can be defined. Noncommutative generalizations of causality, probability and chance are discussed.