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

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An Essay on the Spectral Action and its Relation to Quantum Gravity, theory of the gravitational field coupled to matter. We then present some speculations concerning the quantization of the spectral action and the perspectives it might offer, most notably the speculation that the standard model, including the gauge groups and some of its free parameters, might be derived from first principles.
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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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The Search for Quantum Gravity Effects, Free Fall, the Universality of the Gravitational Redshift, the local validity of Lorentz invariance. This essentially determines the Riemannian structure of the gravitational interaction as well as essential features of the standard model. More is needed for fixing the Einstein field equations and
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Time Paradox in Quantum Gravity,olute character of Newtonian time is present in quantum mechanics and also partially in quantum field theories which consider the Minkowski metric as the background spacetime. We discuss the problems which this non-dynamical concept of time causes in general relativity that is characterized by a dyn
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An Essay on the Spectral Action and its Relation to Quantum Gravity, theory of the gravitational field coupled to matter. We then present some speculations concerning the quantization of the spectral action and the perspectives it might offer, most notably the speculation that the standard model, including the gauge groups and some of its free parameters, might be d
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Mapping-Class Groups of 3-Manifolds in Canonical Quantum Gravity,rmation could be transmitted into the quantum theory. If treated as gauge symmetries, their inequivalent unitary irreducible representations should give rise to a complex superselection structure. This highlights certain aspects of spatial diffeomorphism invariance that to some degree seem physicall
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