Navier-Stokes Gate of Trial (R³): InitialG / Hero Class Route (T-A) — CANON v10. 5. 1 (Audit-Ready Route Contract)

This record ships an audit-ready CANON (route contract + audit artefact) for the 3D incompressible Navier–Stokes equations on R³. The CANON is designed to prevent misreading, misuse, and scope drift by using explicit gate labels: PASS (Def): fixed by definition/lock PASS (Ref): pinned to a known result with hypothesis-match PASS (Proof): proved inside the artefact PASS (Deriv): derivation/calculus support only (not a theorem claim) INCOMPLETE / FAIL: explicitly marked Scope lock (No Overclaim): this record does NOT assert a Millennium Problem solution by default. Any proof claim is valid only if explicitly labelled PASS (Proof) and independently checkable gate-by-gate. The route (T-A) follows: local well-posedness + a continuation gate (BKM-type) → InitialG (locked to initial vorticity) → a Hero-class geometric constraint aimed at depleting vortex stretching. Supplementary Information (SI) provides notation, reference pins, hypothesis-match tables, and constant-discipline notes to improve auditability. Dual-use boundary (non-negotiable): no military use, no surveillance use, no coercive use, and no harm operationalisation. Files included: MAIN (PDF), SI (PDF), README, RUNLOG (append-only), and SHA256 manifest. Optional story note: GAASU Quest V — 100% Clear. 本記録は「監査可能なルート契約 (CANON) 」として公開し、デフォルトでの解決主張はしません。ゲートラベルに従い、仮定・参照・導出・未完を明示します。