Fast Convergence and Metastable Dynamics in Density-Threshold Cellular Automata

This archive contains the complete data, code, and supporting materials for the manuscript "Fast Convergence and Metastable Dynamics in Density-Threshold Cellular Automata" (version 2). Contents include the updated LaTeX manuscript with the new mechanistic interpretation section, all simulation scripts (scale. py, plotfigures. py), the aggregated results dataset (scalingᵣesults. json), and high-resolution figures. The manuscript reports an empirical characterization of dynamical regimes in density-threshold cellular automata on two-dimensional lattices, identifying two distinct regimes: a fast-converging typical regime and a narrow metastable intermediate region with heavy-tailed convergence-time distributions.