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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 098, 29 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.098 (Mi sigma224) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

Bernhelm Booß-Bavnbeka, Giampiero Espositobc, Matthias Leschd

a IMFUFA, Roskilde University, P.O. Box 260, 4000 Roskilde, Denmark
b Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6, 80126 Napoli, Italy
c INFN, Sezione di Napoli
d Bonn University, Mathematical Institute, Beringstr. 6, D-53115 Bonn, Germany
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DOI: https://doi.org/10.3842/SIGMA.2007.098
Abstract: Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e. quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in modern mathematics. It is however unclear whether it will ever become a falsifiable physical theory, since it deals with Planck-scale physics. Reviewing a wide range of spectral geometry from index theory to spectral triples, we hope to dismiss the general opinion that the mere mathematical complexity of the unification programme will obstruct that programme.
Keywords: general relativity; quantum mechanics; quantum gravity; spectral geometry.
Received: August 14, 2007; in final form September 25, 2007; Published online October 5, 2007
Bibliographic databases:
Document Type: Article
MSC: 83C45; 83E05; 83E30; 83E50; 58B34; 58J20; 58J28;
Language: English
Citation: Bernhelm Booß-Bavnbek, Giampiero Esposito, Matthias Lesch, “Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry”, SIGMA, 3 (2007), 098, 29 pp.
Citation in format AMSBIB
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\paper Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
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\vol 3
\papernumber 098
\totalpages 29
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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