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: \(\beta(g^*) = 0\) where \(\beta(g) = \mu \frac{dg}{d\mu}\); critical exponents \(\nu, \eta\) from linearized RG flow; \(a\)-theorem: \(\Delta a = a_{\text{UV}} - a_{\text{IR}} \geq 0\) 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., \(\eta = 0.618...\) 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