Global Regularity for 3D Navier–Stokes on 𝕋³: A Single Auditable Manuscript

This record provides a single, self-contained manuscript presenting an auditable proof program for global regularity of the 3D Navier–Stokes equations on the periodic domain T³. The text is written with referee-style navigation: explicit dependency structure, parameter locking, and internal loop-closure certificates designed to make a full technical audit feasible within one document. Reader contract: One manuscript, one proof chain, no external prerequisites required for verification. Main result: Unconditional global regularity via qIL → Bridge → Two-scale obstruction → Absorption → Dyadic Morrey closure → KE decay → CKN contradiction. How to verify (audit map): Key closure checkpoints are explicitly signposted: Appendix AE (forcing bound for the remainder without any smallness assumption), explicit parameter locking ensuring <1, and Proposition 31. 2 extracting the kinetic decay estimate KG (r) 0. What this record does NOT claim: It does not claim the CKN tail vanishes; tail/remainder terms persist but are tracked and absorbed within the stated remainder/absorption mechanism. No claims are made beyond what is proved internally with fixed parameters. Supporting archival volumes and diagnostic materials may be released separately for transparency, but they are not required to follow the argument in this record.