English

The Lorentzian distance formula in noncommutative geometry

Mathematical Physics 2018-02-23 v2 General Relativity and Quantum Cosmology math.MP

Abstract

For almost twenty years, a search for a Lorentzian version of the well-known Connes' distance formula has been undertaken. Several authors have contributed to this search, providing important milestones, and the time has now come to put those elements together in order to get a valid and functional formula. This paper presents a historical review of the construction and the proof of a Lorentzian distance formula suitable for noncommutative geometry.

Cite

@article{arxiv.1710.10959,
  title  = {The Lorentzian distance formula in noncommutative geometry},
  author = {Nicolas Franco},
  journal= {arXiv preprint arXiv:1710.10959},
  year   = {2018}
}

Comments

16 pages, final form, few references added

R2 v1 2026-06-22T22:29:46.270Z