DAS×STV Work XVII: The DAS↔Classical Mathematics Dictionary — Density Theorem and Transfer of Results for Navier–Stokes and Yang–Mills

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Authors: Yuri Gorenstein, Anthropic Claude
Cited by: 3

Abstract

Seventeenth work in the DAS×STV series. Constructs an explicit three-level dictionary between DAS geometry and classical mathematics (topological, analytical, spectral). Central result: Density Theorem — DAS solutions are dense in classical Navier–Stokes solutions in H¹ norm, with explicit convergence rate O(1/n). Corollaries: classical smoothness theorem for Navier–Stokes (Millennium Problem #6) and classical mass gap theorem for Yang–Mills (Millennium Problem #7). Bilingual (Russian and English).

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Waves and Solitons Advanced Numerical Methods in Computational Mathematics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
18 June 2026
Document type
Preprint