Golden Ratio Search Yields No Direct Results on Killing Form Normalization — E8 Intelligence Research

FINDING: Search results are dominated by popular expositions of the golden ratio and unrelated number-theory/graph-algorithm papers; no direct result on Killing form normalization or long/short root ratios in crystallographic root systems was retrieved. | MATH: No new equations or constants beyond the standard golden ratio identities: φ = (1+√5)/2 ≈ 1.618, φ⁻¹ = φ−1 ≈ 0.618, φ² = φ+1 ≈ 2.618, and nested radical φ = √(1+√(1+√(1+…))). The arxiv papers concern primitive roots (g(p)=O((log p)^(1+ε))) and bipartiteness ratio approximation (O(log n)) — unrelated to root systems. | CONNECTION: The golden ratio appears in the *self-application* paper (arXiv:2510.08934) as a model of stable local recurrence, but no link to Killing form normalization or crystallographic root systems is made. In Lie theory, the long/short root ratio is 1 (simply-laced), √2 (B,C,F), or √3 (G₂) — not φ. No base-60 or crystallographic symmetry connection is present in the retrieved items. | DEPTH: 1 — The search fai Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com