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NS-CSP

Navier–Stokes Coercive Synchronization Program · Cycle II · 8/8 built · global regularity OPEN

NS-CSP resolves an open question left by the previous round: NS-DRC's opening round mentions an even earlier "Cycle II" existing, without giving it an abbreviation at the time. Direct reading confirms it: CSP is Cycle II (the eighth release bundle's own filename is NS_CSP_08_CYCLE_II), and its final-audit document's four residual mechanisms (exponentially amplified preload, dissipation-range replenishment, core dilution, source/state multiplicity) correspond word-for-word to DRC-01's opening line "Cycle II ends with four residual mechanisms." Eight rounds synchronize mid-strain action and moving frequency-window action throughout: CSP-01 proves a wavelength-cell synchronization inequality; CSP-02 through 04 progressively exclude three classes of synchronization defect — spatial, shell, window; CSP-05 through 07 handle the time gap, the stale floor, and the preloaded reservoir; CSP-08 completes the Cycle II closure.

CSP-08 concludes: the standard PDE protections accumulated across Cycle I and Cycle II can only partially cover the remaining mechanisms — proving a functional-analysis NO-GO: energy plus instantaneous critical Besov amplitude cannot bound the preloaded strain Ḣ¹ reservoir. Cycle II ends with an explicit four-mechanism residual core, formally handing off to the "Dynamic Reservoir Closure Problem," i.e. NS-DRC. CSP-01's own document likewise mentions an even earlier Cycle I existing (leaving two coercivity targets: mid-strain action and moving frequency-window action), without giving it an abbreviation at the time — now confirmed to be NS-RFP Cycle I itself, whose final-audit triple-divergent-action core is exactly the two targets being synchronized here. The confirmed complete research chain so far: NS-RFP (I) → NS-CSP (II) → NS-DRC (III) → NS-ANP (IV) → NS-CFOP (V) → NS-FCBP (VI) → NS-MORP (VII) → NS-DCRP (VIII) → NS-IDRP (IX) → NS-TSKR (X) → NS-RKAP (XI), eleven consecutive segments.