Cellular automaton for spinor gravity in four dimensions

Abstract Certain fermionic quantum field theories are equivalent to probabilistic cellular automata, with occupation numbers associated bits. We construct an automaton that represents a discrete model of spinor gravity in four dimensions. Local Lorentz symmetry is exact on the level and diffeomorphism emerges naive continuum limit. Our setting could serve as for if realized true limit suitable collective fields vierbein metric acquire non-vanishing expectation values. The discussion this interesting specific reveals may key qualitative features automata. This obtains very large number cells information sufficiently smooth. It coarse graining. property every bit configuration updated at time step precisely one new does no longer hold grained level. A can evolve into many different configurations certain probabilities. characteristic feature come along emergence continuous space-time symmetries.