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

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...

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Datum:2007
Hauptverfasser: Booß-Bavnbek, B., Esposito, G., Lesch, M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147202
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry / B. Booß-Bavnbek, G. Esposito, M. Lesch // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 99 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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.