GOE/GUE audit — v2.0.3

This page anchors the GOE/GUE audit line of the verification programme: the dedicated high-precision audit suite that checks the spacing statistics of the AB-cloud spectrum against the predictions of random matrix theory (GOE and GUE universality classes).

Where the code lives

• results/Test H1-H8 hp_audit_standalone.jl/ — the standalone audit wave: tests H-1…H-8 with per-test reports, plots, logs and verdict files (final_report.md, results_verdicts.txt).
• code/hp_audit_standalone.jl — the dependency-free Julia implementation of the audit suite.
• code/ab_cloud_full.jl — the main suite whose GUE-related tests (ratios ⟨r⟩, KS against the GUE ratio law, χ² histogram) share the same diagnostics.

How to read the artifacts

Each test folder under the audit wave contains the numeric verdict, the parameters of the run and the plots produced. Verdicts distinguish PASS from WARN; WARN entries carry the Wigner-surmise floor explanation documented in the results overview and in the monograph.

Cross-language replication

The same statistics are re-implemented in ten languages under verification/ — including the browser: the dashboard's "Live ζ statistics" tab recomputes the KS test against the exact GUE ratio law from the embedded Odlyzko dataset.