Fu, Wenju: Emergent Zero-State Fraction in a Ternary Majority Vote Model

We study a simple ternary cellular automaton on a square lattice. Each cell takes values in {-1, 0, +1} and updates synchronously by adopting the majority state among its four nearest neighbors with probability 0.7, otherwise retaining its current state. Despite the simplicity of the rule, the system exhibits non-trivial emergent behavior: the fraction of zero-state cells spontaneously stabilizes at approximately 4.5%, independent of system size (tested from N = 20 to N = 1000). The system is pe