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Quantum Spin Dynamics (QSD)
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An anomaly-free operator corresponding to the Wheeler-DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is entirely free of factor ordering singularities and can be defined in symmetric and non-symmetric form. We work in the real connection representation and obtain a well-defined quantum theory. We compute the complete solution to the Quantum Einstein Equations for the non-symmetric version of the operator and a physical inner product thereon. The action of the Wheeler-DeWitt constraint on spin-network states is by annihilating, creating and rerouting the quanta of angular momentum associated with the edges of the underlying graph while the ADM-energy is essentially diagonalized by the spin-network states. We argue that the spin-network representation is the ``non-linear Fock representation" of quantum gravity, thus justifying the term ``Quantum Spin Dynamics (QSD)".
Forward citations
Cited by 11 Pith papers
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A Lattice Physics Approach to Spin-Networks in Loop Quantum Gravity
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On the dynamics of single-vertex states in quantum-reduced loop gravity
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Geometrical Quantum Time in the $U(1)^3$ Model of Euclidean Quantum Gravity
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