The Lorentzian distance formula in noncommutative geometry

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.

16 pages, final form, few references added

References in corpus (2)

• Causality in noncommutative two-sheeted space-times
• The noncommutative geometry of Zitterbewegung

Cited by in corpus (4)

• Spectral Distance on Lorentzian Moyal Plane
• Families of spectral triples and foliations of space(time)
• Quantum causality constraints on kappa-Minkowski space-time
• The representation of spacetime through time functions