Quantum Gravity Mathematical Models and Experimental Bounds

The construction of a quantum theory of gravity is the most fundamental challenge confronting contemporary theoretical physics. The different physical ideas which evolved while developing a theory of quantum gravity require highly advanced mathematical methods. This book presents different mathemati...

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Bibliographic Details
Other Authors: Fauser, Bertfried (Editor), Tolksdorf, Jürgen (Editor), Zeidler, Eberhard (Editor)
Format: eBook
Language:English
Published: Basel Birkhäuser 2007, 2007
Edition:1st ed. 2007
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Quantum Gravity — A Short Overview
  • The Search for Quantum Gravity Effects
  • Time Paradox in Quantum Gravity
  • Differential Geometry in Non-Commutative Worlds
  • Algebraic Approach to Quantum Gravity III: Non-Commmutative Riemannian Geometry
  • Quantum Gravity as a Quantum Field Theory of Simplicial Geometry
  • An Essay on the Spectral Action and its Relation to Quantum Gravity
  • Towards a Background Independent Formulation of Perturbative Quantum Gravity
  • Mapping-Class Groups of 3-Manifolds in Canonical Quantum Gravity
  • Kinematical Uniqueness of Loop Quantum Gravity
  • Topological Quantum Field Theory as Topological Quantum Gravity
  • Strings, Higher Curvature Corrections, and Black Holes
  • The Principle of the Fermionic Projector: An Approach for Quantum Gravity?
  • Gravitational Waves and Energy Momentum Quanta
  • Asymptotic Safety in Quantum Einstein Gravity: Nonperturbative Renormalizability and Fractal Spacetime Structure
  • Noncommutative QFT and Renormalization