InhaltsangabeQuantum 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.

Preface.- Quantum Gravity (QG) - A Short Overview.- The Search for QG.- Gravitational Waves and Energy Momentum Quanta.- Kinematical Uniqueness of Loop QG.- Strings, Higher Curvature Corrections, and Black Holes.- Spectral Action and its Relation to QG.- Towards a Background Independent Formulation of Perturbative QG.- QG as QFT of Simplicial Geometry.- The Principle of the Fermionic Projector: An Approach for QG?- Topological QFT as Topological QG.- Time Paradox in QG.- Algebraic Approach to QG.- Differential Geometry in Noncommutative Worlds.- Asymptotic Safety in Quantum Einstein Gravity.- Noncommutative QFT and Renormalization.