Navier-Stokes Millennium Problem: No Progress Found in Recent Sources — E8 Intelligence Research
FINDING: Navier-Stokes existence/smoothness remains open; no new mathematical discovery in these sources — only expository videos and one arXiv preprint claiming a method (unverified, likely flawed). | MATH: Navier-Stokes 3D: ∂u/∂t + (u·∇)u = −∇p + ν∇²u + f, ∇·u = 0; Millennium problem asks: for smooth initial data, do smooth global solutions exist (or finite-time blow-up)? No constants, ratios, or new equations extracted — the preprint (arXiv:1806.10081v10) proposes a "new method" but provides no verifiable closed-form solution or invariant. | CONNECTION: None found. No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), no base-60, no crystallographic symmetry, no root systems or lattice structures appear in the sources. The equations are continuum PDEs; no discrete symmetry group is invoked. | DEPTH: 2 — The sources are pedagogical or promotional, not research breakthroughs. The problem itself is profound (depth 10 in difficulty), but the *findings* here add zero new mathematical Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-20
- DOI
- https://doi.org/10.5281/zenodo.23490811
- Primary Topic
- Navier-Stokes equation solutions
- Type
- preprint