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arxiv: 1301.2245 · v2 · pith:D4XXWKG3new · submitted 2013-01-10 · 🌀 gr-qc

Quantum-Reduced Loop Gravity: Cosmology

Emanuele Alesci , Francesco Cianfrani This is my paper
classification 🌀 gr-qc
keywords loopgravityquantumtheorycanonicalcosmologyfullmodel
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We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between Loop Quantum Cosmology and the full theory.

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  1. Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity

    gr-qc 2026-05 unverdicted novelty 6.0

    Variational minimization of the squared Hamiltonian constraint in a truncated one-vertex loop gravity model yields three classes of near-kernel states; one factorized branch matches reduced Thiemann coherent states wi...