The Lorentzian distance formula in noncommutative geometry

Nicolas Franco

doi:10.1088/1742-6596/968/1/012005

The Lorentzian distance formula in noncommutative geometry

Nicolas Franco

Namur Institute for Complex Systems

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Résumé

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.

langue originale	Anglais
titre	Proceedings of the meeting "Non-Regular Spacetime Geometry"
Editeur	IOP Publishing Ltd.
Nombre de pages	11
Volume	968
Edition	1
Les DOIs	https://doi.org/10.1088/1742-6596/968/1/012005
Etat de la publication	Publié - 22 févr. 2018
Evénement	Non-Regular Spacetime Geometry - Centro Didattico Capponi, Florence, Italie Durée: 20 juin 2017 → 22 juin 2017 http://spacetime.esy.es

Série de publications

Nom	Journal of Physics: Conference Series
Editeur	IOP Publishing Ltd.
ISSN (imprimé)	1742-6588

Colloque

Colloque	Non-Regular Spacetime Geometry
Pays/Territoire	Italie
La ville	Florence
période	20/06/17 → 22/06/17
Adresse Internet	http://spacetime.esy.es

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10.1088/1742-6596/968/1/012005License: CC BY

1710.10959manuscrit soumis, 193 KB

https://arxiv.org/abs/1710.10959

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The Lorentzian distance formula in noncommutative geometry. / Franco, Nicolas.
Proceedings of the meeting "Non-Regular Spacetime Geometry". Vol 968 1. Ed. IOP Publishing Ltd., 2018. 012005 (Journal of Physics: Conference Series).

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

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AB - 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.

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The Lorentzian distance formula in noncommutative geometry

Résumé

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Colloque

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