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From loop quantum gravity to cosmology: the two-vertex model

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arxiv 2403.15320 v3 pith:YL2HWWLF submitted 2024-03-22 gr-qc

Álvaro Cendal , Iñaki Garay , Luis J. Garay This is my paper
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keywords dynamicsloopmodelquantumcosmologygravitytwo-vertexarbitrary
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We study the notion of volume and its dynamics in the loop-quantum-gravity truncation known as the two-vertex model. We also show that its U(N)-symmetry reduction provides the old effective dynamics of loop quantum cosmology with an arbitrary perfect barotropic fluid content. A suitable modification of the Poisson bracket structure of the U(N)-symmetric model leads to the loop quantum gravity improved dynamics.

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  1. Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW

    gr-qc 2025-07 conditional novelty 6.0 of 10

    In the U(N)-symmetric sector of the two-vertex loop-quantum-gravity model, the face frames of the twisted-geometry polyhedra evolve by a common scaling plus rotation, so all planar angles stay constant and the polyhed...

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