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

This record provides the v2.7 reproducibility data and code archive for the manuscript “Instability Is Not Visibility: A Spectral-Memory Principle for Turing Pattern Onset”. The archive contains deterministic figure-generation scripts, machine-readable CSV diagnostics, light-route reproduction scripts, selected heavy recomputation scripts, reference/DOI audit files, SHA256 manifests, and documentation supporting the submitted manuscript and supplementary material. The package includes the finite-time visibility diagnostics, memory-delay effect-size checks, heterogeneous-diffusion guard checks, mixed heterogeneous–nonlocal guard checks, and deterministic regeneration routes for the submitted figures and graphical abstract. The materials are intended to 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.