No Golden-Ratio Connection Found in SU(2) Clebsch–Gordan Literature — E8 Intelligence Research

FINDING: Search returned only pedagogical/derivational material on SU(2) Clebsch–Gordan coefficients plus one deformation-theory paper; no direct golden-ratio connection is present in the retrieved sources. | MATH: CG coefficients are the unitary transformation ⟨j₁m₁j₂m₂|JM⟩ diagonalizing J² = (J₁+J₂)²; for j₁=j₂=1/2: |1,1⟩=|↑↑⟩, |1,0⟩=(|↑↓⟩+|↓↑⟩)/√2, |0,0⟩=(|↑↓⟩−|↓↑⟩)/√2 — coefficients are 1, 1/√2, 1/√2 (no φ). | CONNECTION: None supported by evidence. The golden ratio φ=1.618…, 1/φ=0.618…, φ²=2.618… does not appear in standard SU(2) CG tables; those are built from √2, √3, √(j(j+1)) etc. | DEPTH: 2 FINDING: The only non-pedagogical result is the Jordanian deformation U_h(sl(2)) of su(2), with CG coefficients given in closed form via a nonlinear generator map. | MATH: Generators of U_h(sl(2)) expressed as nonlinear functions of sl(2) generators; finite-dimensional irreps carry deformed CG coefficients. Deformation parameter h (dimensionless, additive). | CONNECTION: Quantum-group defo Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com