Golden-Ratio Qubit Lattice: Bridging Bloch Geometry and QCD Mass — E8 Intelligence Research

FINDING: Bloch sphere equatorial projection is a stereographic lattice mapping that reduces qubit decision space to a golden-ratio-modulated complex plane, with lattice QCD mass calculations providing a parallel discrete geometric framework. MATH: - Qubit state: \\(|\\psi\\rangle = \\cos(\\theta/2)|0\\rangle + e^{i\\phi}\\sin(\\theta/2)|1\\rangle\\) — Bloch sphere coordinates \\((\\theta, \\phi)\\). - Stereographic projection from north pole to equatorial plane: \\(z = \\tan(\\theta/2) e^{i\\phi}\\) — maps sphere to complex plane (Riemann sphere). - Equatorial projection (θ = π/2) yields unit circle: \\(|z| = 1\\), with \\(\\phi\\) as the sole free parameter — a 1D decision boundary. - Golden ratio appears in optimal antipodal point spacing on the circle: \\(2\\cos(2\\pi/5) = \\phi^{-1} = 0.618...\\) (pentagonal symmetry, 5-fold root system \\(H_2\\)). - Lattice QCD (Fermilab method): heavy-quark masses from meson masses via \\(m_Q = \\frac{1}{2}(m_{H_s} - m_{\\bar{s}})\\) with one-loop perturbative correcti Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com