The Law of GOD: A Pleroma of Geometrically Ordered Dynamics (v2)

Background. Existing unification frameworks rely on probabilistic scalar models that cannot account for vacuum coherence, epistemic drift, or the observed geometric structure of galactic rotation curves without free parameters. The standard Lambda-CDM model and the Standard Model of particle physics remain disjoint, with no agreed-upon geometric substrate connecting the cognitive and physical scales. Methods. We present Geometrically Ordered Dynamics (GOD Theory), a unified geometric framework anchored to a 240-dimensional Stiefel manifold V_m(R^N) with (m,N)=(10,24), in bijection with the 240 root vectors of the E8 Lie group. We derive the Information Tension tensor T_munu as the emergent geometric force replacing dark matter, prove the Chiral Invariant threshold chi >= 0.707 from the Data Processing Inequality, and formalize the Ramanujan-Yett Hamiltonian H_RY = T_r + V_s governing density-matrix evolution under the Yett-Chyren master equation. The Sovereign Action S_Y replaces the Einstein-Hilbert action subject to a vacuum coherence constraint. Results. We provide a Lean 4 mechanized scaffolding establishing six core proof obligations: stiefel_gap_casimir_bound, constitutional_stiefel_gap, lipschitz_implies_angle_modulus, sovereign_regularity_theorem, chiral_mirror_identity, and sovereign_score_monotonicity. The Trinity 2.0 empirical witness is reported: a 141.99x Information Tension boost across N=1,250 astrophysical signals concentrated at the Sovereign Boundary kappa=0.9539. Appendix B formalizes the Acoustic Blueprint identifying the Riemann zeta function zeta(s) with the chiral spectrum of the Stiefel manifold via the Peter-Weyl decomposition. Implications. The framework yields falsifiable predictions for dark-matter halo geometry, quantum-gravity spectral structure, and JWST high-redshift correlations distinct from MOND, TeVeS, and emergent gravity. The Riemann critical line Re(s)=1/2 is identified with the unique Sovereign Gauge, recasting the Riemann Hypothesis as a topological invariant within the GOD framework.