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Semiclassical states in quantum gravity: curvature associated to a Voronoi graph

Semiclassical states in quantum gravity: curvature associated to a Voronoi graph

The building blocks of a quantum theory of general relativity are expected to be discrete structures. Loop quantum gravity is formulated using a basis of spin networks (wave functions over oriented graphs with coloured edges), thus realizing the aforementioned expectation. Semiclassical states should, however, reproduce the classical smooth geometry in …