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Working preprint investigates a framework to enhance 3D Navier-Stokes equations, suggesting implications for fluid dynamics analysis.
Working Preprint v0.10. Adds Supplementary Material S1: DCV Conjecture numerical verification. In 48,000 simulation trials (6 boost levels × 8000 steps, boost up to 100×, N=64 Fourier modes, ν=0.001), max cosθ = 0.9652 < 1; zero instances exceeded 0.99. Figures S1–S2 and source code included. Core framework: P-reg conditional global existence with Upgrade Theorem (Section 7): P-reg + DCV angular gap + Thm 5.5 ⇒ BKM bound ⇒ C∞. Two open items remain: Theorem 5.5 (Biot–Savart α>0) and DCV Conjecture (cosθ<1 analytically). This preprint does not claim to resolve the Clay Millennium Prize Problem.
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Yao-Kai Kao (2026) studied this question.
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