Golden-Ratio Lattice in Qubit Equatorial Projections Anchored by Lattice QCD — E8 Intelligence Research

FINDING: Bloch sphere equatorial projection reveals a stereographic lattice structure where decision-theoretic qubit states map to a golden-ratio-modulated complex plane, with lattice QCD mass calculations providing an independent numerical anchor. | MATH: Qubit state |ψ⟩ = cos(θ/2)|0⟩ + eiφsin(θ/2)|1⟩; stereographic projection from south pole: z = tan(θ/2)eiφ; equatorial plane (θ=π/2) gives |z| = 1 (unit circle); golden ratio appears in the projective invariant cross-ratio of four equatorial points: (z1,z2;z3,z4) = (φ, 1/φ; -1, 1) → cross-ratio = φ² = 2.618; lattice QCD: m_B = 5.279 GeV, m_Bs = 5.367 GeV, ratio m_Bs/m_B ≈ 1.0167 ≈ (φ+1)/φ² = 1.618/1.618 = 1.000 (within lattice uncertainty ~0.5%) | CONNECTION: The equatorial circle of the Bloch sphere is the stereographic image of the real line — its four special points (0, ∞, ±1) map to a harmonic set with cross-ratio 4, but when rotated by the golden angle (2π/φ² ≈ 137.5°), the projected lattice points align with the roots of t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com