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On the consistency of the constraint algebra in spin network quantum gravity

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arxiv gr-qc/9710018 v1 pith:JLF3RGOS submitted 1997-10-02 gr-qc hep-th

On the consistency of the constraint algebra in spin network quantum gravity

classification gr-qc hep-th
keywords quantumalgebraconstraintgravitybracketclassicallyconsistencyconstraints
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We point out several features of the quantum Hamiltonian constraints recently introduced by Thiemann for Euclidean gravity. In particular we discuss the issue of the constraint algebra and of the quantum realization of the object $q^{ab}V_b$, which is classically the Poisson Bracket of two Hamiltonians.

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  1. Non-perturbative, background independent canonical quantum gravity in Fock representations

    gr-qc 2026-06 unverdicted novelty 5.0

    Existence of background-independent Fock representations for canonical quantum gravity with matter, producing a separable Hilbert space unlike LQG.