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Quantum gravity from non-commutative geometry
Multi angle
Authors : Barrett, John (Author of the conference)
CIRM (Publisher )
58B34 - Noncommutative geometry (à la Connes)
81R60 - Noncommutative geometry
81T75 - Noncommutative geometry methods - Méthodes géométriques non-commutatives
83C45 - Quantization of the gravitational field
Additional resources :
https://www.cirm-math.fr/RepOrga/3196/Slides/6-barret.pdf
CIRM (Publisher )
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Abstract :
The talk will discuss progress in modelling quantum spacetime using finite spectral triples. There will be a brief overview of the general ideas and some recent progress. A non-commutative model of a sphere with non-trivial spinor bundles will be presented.
Keywords : noncommutative geometry; spectral triples; quantum gravity; fuzzy sphere
MSC Codes : Keywords : noncommutative geometry; spectral triples; quantum gravity; fuzzy sphere
58B34 - Noncommutative geometry (à la Connes)
81R60 - Noncommutative geometry
81T75 - Noncommutative geometry methods - Méthodes géométriques non-commutatives
83C45 - Quantization of the gravitational field
Additional resources :
https://www.cirm-math.fr/RepOrga/3196/Slides/6-barret.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2025 Conference Date : 08/04/2025 Subseries : Research talks arXiv category : Mathematical Physics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:45 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-04-08_Barret.mp4 
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Information on the Event
Event Title : Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time / Applications de la Géométrie Non Commutative aux Théories de Jauge, à la Théorie des Champs et aux Espaces-Temps QuantiquesEvent Organizers : Iseppi, Roberta Anna ; Martinetti, Pierre ; Masson, Thierry ; Nieuviarts, Gaston ; Vitale, Patrizia Dates : 07/04/2025 - 11/04/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3196.html
Citation Data
DOI : 10.24350/CIRM.V.20340703Cite this video as: Barrett, John (2025). Quantum gravity from non-commutative geometry. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20340703 URI : http://dx.doi.org/10.24350/CIRM.V.20340703 |
See Also
- [Multi angle] T-Minkowski noncommutative spacetimes / Author of the conference Mercati, Flavio.
- [Multi angle] The BV quantisation in NCG: the case of finite spectral triple / Author of the conference Iseppi, Roberta Anna.
- [Multi angle] Quantum Galilei group as quantum reference frame transformations / Author of the conference Gubitosi, Giulia.
- [Multi angle] Extremal eigenvectors, the spectral action, and the zeta spectral triple / Author of the conference Connes, Alain.
Bibliography
- BARRETT, John W. Fermion integrals for finite spectral triples. Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, no 45, p. 455201. - http://www.doi.org/10.1088/1751-8121/ad82ba
- BARRETT, John W. et GLASER, Lisa. Monte Carlo simulations of random non-commutative geometries. Journal of Physics A: Mathematical and Theoretical, 2016, vol. 49, no 24, p. 245001. - http://www.doi.org/10.1088/1751-8113/49/24/245001
- BARRETT, John W. Matrix geometries and fuzzy spaces as finite spectral triples. Journal of Mathematical Physics, 2015, vol. 56, no 8. - https://doi.org/10.1063/1.4927224
- D'ARCANGELO, Mauro. Numerical simulation of random Dirac operators. 2022. Thèse de doctorat. University of Nottingham. - https://eprints.nottingham.ac.uk/id/eprint/71106
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