← NS Zone · NS-MORP
Navier–Stokes Minimal Obstruction Rigidity Program · Cycle VII · 5/5 built · global regularity OPEN
NS-MORP continues from the four theorem obligations left by NS-FCBP Cycle VI, posing this program's core question: if the critical coercivity-gap proof fails, can a minimal nonzero, Navier–Stokes-realizable obstruction be extracted — and does minimality itself force that obstruction into some rigid transition/kernel class? Five rounds carry this forward: MORP-01 defines native obstruction slices and an abstract compactness–rigidity dichotomy; MORP-02 builds a defect-completed compactness topology; MORP-03 finds the correct return-transition dynamics; MORP-04 audits the equality manifold and excludes the pure-dissipation-defect branch; MORP-05 completes the Cycle VII final audit.
The final survivor is a minimal, zero-tax, kernel-saturated diffuse carrier — not a proof of global regularity, but a compression of the surviving obstruction into this one normal form. MORP-05 closes by explicitly handing off the next step to "NS-DCRP: Navier–Stokes Diffuse Carrier Rigidity Program" — the source of NS-DCRP's own name; the two sub-lines are consecutive segments of one research line, not parallel or independent topics.
Dependency chain: native obstruction geometry → defect-completed compactness → minimal return dynamics → equality-manifold rigidity → escape/ancient final audit. Reading in order is recommended — each round takes the previous one's results as given.
The five rounds exist in the source drop only as .zip release bundles (each containing the paper
.md, a versioned roadmap, CHANGELOG, JSON schema, status ledger, etc). This page extracts and
publishes only each round's core paper .md and the Cycle VII final handoff document; the
roadmap/ledger/schema files inside each bundle are internal project-management documents and are not published.
Download the Cycle VII handoff, original .md (English)