All-Order Convergence of Constructive RG for Lattice QED4 and QCD Scale Invariance — E8 Intelligence Research

FINDING: Constructive renormalization group (RG) for lattice QED4 with massless electron achieves all-order convergence, linking to conformal fixed points and scale invariance in lattice QCD. | MATH: RG fixed-point equation: \(β(g^*) = 0\) where \(β(g) = μ dg/dμ\); critical exponents \(ν, η\) from linearized RG flow; \(a\)-theorem: \(Δ a = aUV - aIR ≥ 0\) for 4D conformal field theories (Cardy). | CONNECTION: Lattice structure implies discrete rotational symmetries (cubic, hypercubic) and root system \(A_3, B_3, D_4\); scale invariance at fixed points suggests emergent conformal symmetry with possible golden-ratio-related critical exponents (e.g., \(η = 0.618...\) in certain 2D models, but not confirmed in 4D QED4). | DEPTH: 7 — Foundational for rigorous QFT, but no explicit golden-ratio or base-60 link in these findings. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com