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gr-qc2001
A New Approach to the Geometrization of Matter
Louis Crane
We show that the sum over geometries in the Lorentzian 4-D state sum model for quantum GR in [1] includes terms which correspond to geometries on manifolds with conical singulariti…
gr-qc2001
A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
Louis Crane, Alejandro Perez, Carlo Rovelli
We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in fo…