On the geometry of loop quantum gravity on a graph

Carlo Rovelli; Simone Speziale

On the geometry of loop quantum gravity on a graph

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arxiv 1005.2927 v2 pith:B7MZWVRH submitted 2010-05-17 gr-qc hep-th

Carlo Rovelli , Simone Speziale This is my paper

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We discuss the meaning of geometrical constructions associated to loop quantum gravity states on a graph. In particular, we discuss the "twisted geometries" and derive a simple relation between these and Regge geometries.

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