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Abstract
We propose a path integral over graphs approach to quantum gravity and unification that requires a modification and reinterpretation of both general relativity and quantum field theory via their graphical instantiations, Regge calculus and lattice gauge theory, respectively. As we outline below, the spacetime metric and the matter and gauge field gradients on the graph are co-determining, so there is no “background spacetime” connoting existence independent of matter-energy-momentum, and the graphical action can be characterized geometrically via graphical boundary operators.
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