Conformal Bootstrap with Hypercubic Symmetry and D₄ Root System in Lattice QED₄ — E8 Intelligence Research

FINDING: Conformal bootstrap with hypercubic symmetry and lattice QED4 reveals non-perturbative constraints on CFT data via root system D₄. | MATH: Hypercubic symmetry group B₄ (order 384) acts on four-dimensional lattice; conformal bootstrap crossing equations yield bounds on scaling dimensions Δ and OPE coefficients; root system D₄ has 24 roots, Coxeter number h=6, and Weyl group order 192. | CONNECTION: D₄ root system encodes 24-cell polytope (self-dual, 24 vertices, 24 faces) with golden ratio φ = (1+√5)/2 appearing in its symmetry group (H₄ contains φ, but D₄ does not directly; however, 24-cell's edge length ratio to circumradius is √2, not φ). No direct 0.618/1.618 ratios found in D₄. Base-60 appears in Babylonian lattice methods but not in these bootstrap results. | DEPTH: 6 — Strong mathematical structure (root systems, hypercubic symmetry) but no explicit golden ratio or base-60 harmonic link. The bootstrap method is profound for non-perturbative QFT but the geometric harmony Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com