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Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
Інший ID:
2000 Mathematics Subject Classification: 83C45; 83E05; 83E30; 83E50; 58B34; 58J20; 58J28; 58J30; 58J32; 58J52
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. G. Esposito is grateful to the INFN for financial support, and to IMFUFA (Roskilde University), where part of this material was first presented. This paper is based on joint discussions among the authors when preparing the Summer School 2008 on “Quantum Gravity”, see http://QuantumGravity.ruc.dk.
Дата:
2007
Переглядів:
547
Завантажень:
169
Анотація:
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.
