Hypergravity and Categorical Feynmanology

We propose a new line of attack to create a finite quantum theory which includes general relativity and (possibly) the standard model in its low energy limit. The theory would emerge naturally from the categorical approach. The traces of morphisms from the category of representations we use to construct the state sum also admit interpretation as Feynman diagrams, so the non-categorically minded physicist may think of the models as combinatorial expressions in Feynman integrals, reflecting the topology of the triangulated manifold. The Feynman picture of the vacuum would appear as a low energy limit of the theory. The fundamental dynamics of the theory are determined by a Topological Quantum Field Theory expanded around a conjectured geometric quasi-vacuum. Although the model is a 4 dimensional state sum, it would have a stringlike ten dimensional perturbation theory. The motivation for the name " hypergravity " is the existence of an infinite tower of alternating fermionic and bosonic partners of the gravitational field in the theory, with an n=2 chiral supersymmetry functor connecting them. It is remarkable that a supersymmetry appears in the high energy sector of a theory not founded on supergeometry.