Published February 1, 2018 | Version v1
Journal article

Spacetimes in Noncommutative Geometry: a definition and some examples

  • 1. Fabien Besnard, EPF, 3 bis rue Lakanal, Sceaux F-92330 (France)

Description

We quickly review the notion of spectral triples - the noncommutative generalization of Riemannian spin manifolds devised by Alain Connes - and propose extensions of it to the Lorentzian and anti-Lorentzian signatures, which we call "spectral spacetimes". We motivate this definition and give several examples. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/968/1/012002

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
968
Journal Issue
1
Journal Page Range
[10 p.]
ISSN
1742-6596

Conference

Title
1. Meeting on Non-Regular Spacetime Geometry
Dates
20-22 Jun 2017
Place
Florence (Italy)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52080102
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMMUTATION RELATIONS; GEOMETRY; METRICS; REVIEWS; SPIN
Descriptors DEC
ANGULAR MOMENTUM; DOCUMENT TYPES; MATHEMATICS; PARTICLE PROPERTIES