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, plot_figures.py), the aggregated results dataset (scaling_results.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.