Unverified 2025–2026 Math Breakthrough Claims: No New Equations Found — E8 Intelligence Research

FINDING: The search results are largely meta-content (videos, overviews, and one arXiv preprint claiming solutions to two Millennium Problems), with no verified 2025–2026 breakthrough. The only concrete mathematical artifact is the arXiv preprint (1902.07265v23) claiming solutions to P vs NP (3rd) and Navier–Stokes (4th). MATH: No new equations, constants, or ratios are presented in the search results. The arXiv preprint's abstract mentions "computational complexity" and "classical fluid dynamics" but provides no explicit formulas in the snippet. The Clay problems themselves involve: - Navier–Stokes: ∂u/∂t + (u·∇)u = −∇p + ν∇²u + f, ∇·u = 0 - P vs NP: formal language membership decidability in polynomial time - Yang–Mills: mass gap Δ > 0 in non-Abelian gauge theory - Riemann Hypothesis: ζ(s) = 0 ⇒ Re(s) = 1/2 - Birch–Swinnerton-Dyer: rank(E) = ordₛ₌₁ L(E,s) - Hodge conjecture: algebraic cycles ↔ Hodge classes - Poincaré (solved): simply connected closed 3-manifold ≅ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com