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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National Academy of Science of Ukraine
2007-10-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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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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1725680271192227840 |