Silberstein, Michael and Stuckey, William Mark (2013) An Adynamical, Graphical Approach to Quantum Gravity and its Foundational Implications. In: [2013] Foundations of Physics 2013: The 17th UK and European Meeting on the Foundations of Physics (Munich; 29-31 July 2013).
Abstract
We propose a path integral over graphs approach to quantum gravity and unification that requires a modification and reinterpretation of both general relativity (GR) and quantum field theory (QFT) via their graphical instantiations, Regge calculus and lattice gauge theory (LGT), 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 (Silberstein et al, 2013).
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