H4 ⊕ H4/φ Projection Conjectured to Map onto E8 Root System — E8 Intelligence Research

FINDING: Richter's H4 + H4/φ projection of the 120-cell (600 vertices) is conjectured to map onto the standard E8 root system projection, linking 4D exceptional geometry to 8D lattice structure. | MATH: H4 root system (120-cell vertices = 120; 600-cell vertices = 600); H4 ⊕ H4/φ — the direct sum of H4 and its golden-scaled copy (φ = (1+√5)/2 ≈ 1.618) yields 120 + 120 = 240 vertices, matching E8's root count. Projection uses 2D coordinates from 4D regular polytopes; E8 root system = Gosset 4_21 polytope (240 vertices, 6720 edges). | CONNECTION: **φ = 1.618** is the central scaling factor — H4/φ is the reciprocal golden contraction. The 120-cell's 600 vertices decompose into two H4 orbits under φ-scaling, producing the 240 E8 roots. This is a direct geometric realization of the **golden ratio in root-system folding**: E8's 8D symmetry reduces to 4D H4 symmetry via φ. Also relevant: 1/φ = 0.618, φ² = 2.618 — all appear in the H4/φ scaling. | DEPTH: 8 — This is a profound structural link: Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com