Separable-Field Cellular Automaton
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Dynamics in a Low-Rank Separable Field Cellular Automaton
arXiv:2606.08983v1 Announce Type: cross Abstract: Complex collective dynamics in cellular automata are usually associated with local-neighborhood combinatorics, yet it remains unclear whether long-lived dynamical organization requires such explicit local interaction structure. Here, we introduce a Separable-Field Cellular Automaton (SFCA), a normalized-field cellular automaton in which local neighbor counting is replaced by a rank-one-like row-column field. Each cell is updated according to...