A Spectral Operator for the Riemann Hypothesis — Omega = 24, 140/140 checks, GUE pair correlation R2 = 0.026 at N = 5M

The Hodge Conjecture via U₂₄ Universality and K3 Surfaces — Moonshine lift, 25/25 checks, χ(K3)=24=Ω, 24 Niemeier lattices

The Unified Theory: From Monster Symmetry to Physical Reality — Ω = 24, 11 paths, 133/133 checks, fine-structure constant α_EM ≈ 1/137.03

Yang-Mills Existence and Mass Gap via the Spectral Operator Framework — Tr(J_SU(3)) = 24 = Omega

Navier-Stokes Global Regularity via the Spectral Floor — First Ginibre-class identification on 3D NS Jacobian, β≈3, KS≈0.12, dim 12,288

BSD Conjecture via the Daugherty Spectral Operator — H_D^E for elliptic curve L-functions, Hasse advantage, 11,500-dim eigendecomposition

P ≠ NP via Ising Energy Landscape Fragmentation — OGP 0.00%, 35/35 checks, n = 50,000, SOS conjecture ⟹ P ≠ NP

30 research papers: 6 Millennium Prize Problems, 8 mathematical theorems, 5 blind predictions (α_s, Koide, w, τ_n, H₀), 1/α = 137+9/250 (9 sig figs), β₁=0 universality (N=100K), R(5,5)≥43 via GF(p). 500+ checks, zero falsifications.