Titlebook: Quantum Gravity; Mathematical Models Bertfried Fauser,Jürgen Tolksdorf,Eberhard Zeidler Book 2007 Birkhäuser Basel 2007 EFE.Gravitational

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The Principle of the Fermionic Projector: An Approach for Quantum Gravity?,ce-time. The underlying physical principles are discussed. We outline the connection to the continuum theory and state recent results. In the last two sections, we speculate on how it might be possible to describe quantum gravity within this framework.

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Gravitational Waves and Energy Momentum Quanta,lectromagnetic currents associated with spacetime Killing symmetries are discussed in an attempt to draw analogies with the concepts of photons and gravitons. By embedding Einstein’s original formulation of General Relativity into a broader context we show that a dynamic covariant description of gra

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Asymptotic Safety in Quantum Einstein Gravity: Nonperturbative Renormalizability and Fractal Spaceteory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic safety implies that spacetime is a fractal in general, with a fractal dimension of 2 on sub-Planckian length scales.

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Noncommutative QFT and Renormalization,ccount through deforming space-time. The resulting noncommutative Quantum Field Theory shows the IR/UV mixing. We modify the action for a scalar model in 4 dimensions and show, that a renormalizable field theory results. For the proof we fist transform to a matrix model and use the Wilson- Polchinsk

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uantum gravity and more advanced approaches.Comprehensive prThis Edited Volume is based on a workshop on “Mathematical and Physical - pects of Quantum Gravity” held at the Heinrich-Fabri Institute in Blaubeuren st (Germany) from July 28th to August 1 , 2005. This workshop was the succ- sor of a simi

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Differential Geometry in Non-Commutative Worlds,alculus into this context and use this framework to discuss the pattern of Hamilton’s equations, discrete measurement, the Schrodinger equation, dynamics and gauge theory, a generalization of the Feynman-Dyson derivation of electromagnetic theory, and differential geometry in a non-commutative context.