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