← NS Zone · NS-DCRP

NS-DCRP

Navier–Stokes Diffuse Carrier Rigidity Program · Cycle VIII · 55/55 built · global regularity OPEN

NS-DCRP is a continuous research chain advanced round by round through correction: each round directly audits, corrects, or extends the conclusions of the previous one — not a collection of independent topics. The original numbering runs from 01 to 59; this page groups them into seven thematic phases below for easier sequential reading, but the backbone remains a single dependency chain. DCRP is the direct continuation of the previous program, NS-MORP (Minimal Obstruction Rigidity Program, Cycle VII) — MORP-05's final round proved that the ultimate surviving obstruction is a "minimal, zero-tax, kernel-saturated diffuse carrier," and explicitly handed off at its close to "NS-DCRP: Navier–Stokes Diffuse Carrier Rigidity Program" — which is exactly where the name DCRP comes from; the two sub-lines are the two halves of one continuous research line. DCRP itself is Cycle VIII — confirmed later, when building NS-IDRP, from IDRP-01's own opening text ("DCRP Cycle VIII closes with a surviving normal form"), continuing onward through IDRP (IX) → NS-TSKR (X) → NS-RKAP (XI).

Correction: this page previously stated incorrectly that the original files for rounds 01 and 02 "exist only as .zip archives and could not be built into standalone pages" — while building the NS-RMRM sub-line, it was discovered that the release.zip bundles for DCRP-01 and DCRP-02 each in fact contain the complete paper .md (identical bundle structure to every round from 03 onward); the earlier build of this page simply never unpacked those two archives to check — the files were never actually missing, this page's own oversight — now unpacked and built, and the correct, complete starting point of the DCRP series is 01, not 03. Honest disclosure of a different kind of gap: rounds 15 and 56–58 are repeatedly cited by later rounds (for example, DCRP-16 explicitly continues from "the gap left by DCRP-15," and DCRP-59 explicitly cites DCRP-56/57/58), but no corresponding files exist in the original delivered folder — they may be lost, or may exist unopened inside some .zip archive not yet checked. This category is a genuine data gap, not an oversight on this page's part.

Correction: this page previously stated that the 117 cross-reference files contained in NTLA-O were two parallel theoretical perspectives on this same batch of numbered papers — after checking frontmatter file by file, the actual situation is: of the 73 additional files found in the NTLA-O folder, 10 are the original Chinese-filename versions of NTLA-O's own nine-paper series (not new content), and the remaining 63 are genuinely new research self-identified as an "Independent Navier–Stokes Research Series" — of which DCRP43-58 is a same-numbered parallel branch to this sub-line's own rounds 43–58, and from DCRP60 onward the source text itself states "the DCRP/X72 compound numbering formally begins here," continuing through to DCRP105/X72-R88. This has been built as its own independent sub-line, NS-INRS (63 files) — not 117 files running parallel to this one.