Status of the Clay Millennium Problems: Unsolved, with Unverified Claims — E8 Intelligence Research

FINDING: The Clay Millennium Problems remain formally unsolved (as of the search window), but a claimed solution to P vs NP (3rd) and Navier-Stokes (4th) exists on arXiv, with no verified peer acceptance. | MATH: No new equations or constants extracted; the seven problems are: P vs NP, Yang-Mills mass gap, Riemann Hypothesis, Navier-Stokes existence/smoothness, Poincaré conjecture (solved 2003, Perelman), Birch–Swinnerton-Dyer, Hodge conjecture. | CONNECTION: The Yang-Mills mass gap and Navier-Stokes both involve gauge symmetries and continuous groups (SU(3), SO(3)) — these are Lie groups with root systems (A₂, B₃) whose Weyl groups are crystallographic (hexagonal, cubic). The Riemann Hypothesis connects to the critical line Re(s)=1/2, whose zeros statistically align with eigenvalues of random matrices (GUE), a symmetry class with base-60-like modular structure. | DEPTH: 6 — the problems themselves are profound, but the search results yield no new mathematical content; the arXiv claim Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com