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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Main Authors: Bernhelm Booß-Bavnbek, Giampiero Esposito, Matthias Lesch
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/098/
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spelling doaj-e2177aaa5a1c4bf7a35680bfc48771422020-11-24T22:47:59ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-10-013098Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral GeometryBernhelm Booß-BavnbekGiampiero EspositoMatthias LeschQuantum 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.http://www.emis.de/journals/SIGMA/2007/098/general relativityquantum mechanicsquantum gravityspectral geometry
collection DOAJ
language English
format Article
sources DOAJ
author Bernhelm Booß-Bavnbek
Giampiero Esposito
Matthias Lesch
spellingShingle Bernhelm Booß-Bavnbek
Giampiero Esposito
Matthias Lesch
Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
Symmetry, Integrability and Geometry: Methods and Applications
general relativity
quantum mechanics
quantum gravity
spectral geometry
author_facet Bernhelm Booß-Bavnbek
Giampiero Esposito
Matthias Lesch
author_sort Bernhelm Booß-Bavnbek
title Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
title_short Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
title_full Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
title_fullStr Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
title_full_unstemmed Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
title_sort quantum gravity: unification of principles and interactions, and promises of spectral geometry
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-10-01
description 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.
topic general relativity
quantum mechanics
quantum gravity
spectral geometry
url http://www.emis.de/journals/SIGMA/2007/098/
work_keys_str_mv AT bernhelmbooßbavnbek quantumgravityunificationofprinciplesandinteractionsandpromisesofspectralgeometry
AT giampieroesposito quantumgravityunificationofprinciplesandinteractionsandpromisesofspectralgeometry
AT matthiaslesch quantumgravityunificationofprinciplesandinteractionsandpromisesofspectralgeometry
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