English

Towards an axiomatic noncommutative geometry of quantum space and time

Mathematical Physics 2013-04-02 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1304.0234,
  title  = {Towards an axiomatic noncommutative geometry of quantum space and time},
  author = {Arthemy V. Kiselev},
  journal= {arXiv preprint arXiv:1304.0234},
  year   = {2013}
}

Comments

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