The Lorentzian distance formula in noncommutative geometry

Nicolas Franco

doi:https://doi.org/10.1088/1742-6596/968/1/012005

The Lorentzian distance formula in noncommutative geometry

Nicolas Franco

Namur Institute for Complex Systems

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

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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.

Original language	English
Title of host publication	Proceedings of the meeting "Non-Regular Spacetime Geometry"
Publisher	IOP Publishing Ltd.
Number of pages	11
Volume	968
Edition	1
DOIs	https://doi.org/10.1088/1742-6596/968/1/012005
Publication status	Published - 22 Feb 2018
Event	Non-Regular Spacetime Geometry - Centro Didattico Capponi, Florence, Italy Duration: 20 Jun 2017 → 22 Jun 2017 http://spacetime.esy.es

Publication series

Name	Journal of Physics: Conference Series
Publisher	IOP Publishing Ltd.
ISSN (Print)	1742-6588

Symposium

Symposium	Non-Regular Spacetime Geometry
Country/Territory	Italy
City	Florence
Period	20/06/17 → 22/06/17
Internet address	http://spacetime.esy.es

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https://doi.org/10.1088/1742-6596/968/1/012005Licence: CC BY

1710.10959Submitted manuscript, 193 KB

https://arxiv.org/abs/1710.10959

Cite this

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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.",

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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

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