Quantum Gravity Mathematical Models and Experimental Bounds /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Fauser, Bertfried (Editor), Tolksdorf, Jürgen (Editor), Zeidler, Eberhard (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Gravitation.; Quantum physics.; Astronomy.; Astrophysics.; Cosmology.; Elementary particles (Physics).; Quantum field theory.; Classical and Quantum Gravitation, Relativity Theory.; Elementary Particles, Quantum Field Theory.; Mathematical Methods in Physics.; Applications of Mathematics.; Quantum Physics.; Astronomy, Astrophysics and Cosmology.

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...

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.