Towards an axiomatic noncommutative geometry of quantum space and time
arXiv:1304.0234
Abstract
By exploring a possible physical realisation of the geometric concept of noncommutative tangent bundle, we outline an axiomatic quantum picture of space as topological manifold and time as a count of its reconfiguration events.
Introduction & Ch.2 from the essay "Towards an axiomatic geometry of fundamental interactions in noncommutative space-time at Planck scale" (IHES/P-12-30), in: Proc. 6th Workshop "Group Analysis of Differential Equations & Integrable Systems" (Protaras, Cyprus, 2012), University of Cyprus, Nicosia, 2013, 111-126