Data and code for: Memory-Driven Pattern Visibility as a Closed Spectral--Visibility Law

This dataset contains numerical scripts, parameter files, CSV diagnostics, reproducibility outputs and final figure-source files supporting the manuscript “Memory-Driven Pattern Visibility as a Closed Spectral--Visibility Law”. Version 1.5 is aligned with the final submission package. It unifies the file names with the final manuscript layout, in which the main text contains Figures 1–8. Figure 8(a) is the visibility-proxy panel, and Figure 8(b) is the nonlinear sampled-validation panel. Supplementary figure-source file names begin with the prefix “supplementary_”. The package includes complete runnable scripts for nonlinear visibility diagnostics, regime-map generation, sampled nonlinear visibility validation, visibility-delay ratios, seed robustness and sentinel grid/time-step checks. It also includes CSV diagnostics, parameter files, command-level reproducibility notes, final figure-source files and SHA-256 manifests for file verification. The numerical materials are intended as consistency tests for the theoretical spectral–visibility ordering and memory-controlled onset-delay mechanism, rather than as a full nonlinear phase classification. Reported simulations use no positivity clipping, and negative-grid counts are recorded where applicable.