This article is devoted to the application of the cellular automata mathematical apparatus to the problem of continuous optimization. The cellular automaton with an objective function is introduced as a new modification of the classic cellular automaton. The algorithm of continuous optimization, which is based on dynamics of the cellular automaton having the property of geometric symmetry, is o...

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 ...