Data and code for: Instability Is Not Visibility: A Spectral-Memory Principle for Turing Pattern Onset

This record provides the v2.8 reproducibility data and code archive for the manuscript “Instability Is Not Visibility: A Spectral-Memory Principle for Turing Pattern Onset”. The archive contains raw CSV diagnostics, deterministic figure-generation scripts, light-route reproduction scripts, selected heavy recomputation scripts, checksum verification utilities, reference/DOI audit files and documentation supporting the submitted manuscript and supplementary material. The package includes finite-time visibility diagnostics, memory-delay effect-size checks, heterogeneous-diffusion guard checks, mixed heterogeneous–nonlocal guard checks, and cross-model Schnakenberg, Brusselator-type and Gierer–Meinhardt-type diagnostics. The materials support reproducibility of the reported theorem-level ordering and numerical diagnostics on the validated parameter window. The archive does not claim a universal bifurcation atlas outside the reported observation protocol and parameter range. Code files are provided under the MIT License. Generated data, CSV diagnostics and figure-source files are provided under Creative Commons Attribution 4.0 International (CC BY 4.0). Please cite this Zenodo record and the associated manuscript when using the package.