The Buzzard-Gee Conjecture via automorphic-Galois compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Global Langlands reciprocity via compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Sato-Tate general forms via equidistribution persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Companion Forms via weight-companion persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Trace-Formula Endoscopy via stable-transfer persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Trace Formula Architecture via geometric-spectral persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Artin Holomorphy Conjecture via Artin L-function regularity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Local-Global Langlands Compatibility via compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Grand Riemann Hypothesis via Artin-automorphic zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Adèlic spectral triples for automorphic L-functions: realizing GRH zeros as Dirac operator eigenvalues in non-commutative geometry with quantum many-body verification. GL(1)–GL(5).