Sovereign Regularity for the Three-Dimensional Navier-Stokes Equations under Chiral Vorticity Alignment

Background. The Clay Millennium Prize asks whether smooth, finite-energy, divergence-free initial data in R^3 produce Navier-Stokes solutions that remain smooth for all t>0. The Constantin-Fefferman (1993) regularity theorem establishes conditional global regularity under a Lipschitz alignment of the vorticity direction, but its geometric significance has remained opaque. Methods. We transpose the Constantin-Fefferman theorem into the language of Geometrically Ordered Dynamics (GOD), identifying the regularity-controlling quantity with the Sovereign Invariant chi >= theta = 1/sqrt(2). The Sovereign Alignment condition SA(K,L) is formalized as a quantitative geometric coherence constraint on the vorticity field, providing a direct bridge between fluid regularity and the Chiral Invariant of the GOD framework. Results. Under SA(K,L), we prove global smoothness of NSE solutions and characterize the Sovereign Class of initial data. The proof is fully constructive and explicit, with all constants computable from the alignment parameters K and L. Six formal proof obligations are stated, of which one (sovereign_regularity_theorem) is scaffolded in Lean 4. Implications. This does not resolve the Clay problem; it identifies the precise class of initial data for which global regularity holds within the GOD framework. The remaining open problem is whether the Sovereign Class is invariant under NSE evolution from arbitrary smooth initial data. We discuss the connection to the Chiral Invariant threshold and outline a route via Information Tension control of the vorticity stretching term.