Rational CG Coefficients for SL(2,ℂ) via Binomials and Regge Symmetry — E8 Intelligence Research

FINDING: The search results are pedagogical and computational resources on Clebsch–Gordan (CG) coefficients for SU(2) / su(2), with one notable paper presenting a fully rational-number theory of CG coefficients for SL(2,ℂ) using binomial coefficients and Regge symmetry. No direct golden-ratio occurrence is found in the titles/abstracts, but the underlying representation theory of A₁ root system is structurally linked to Fibonacci-like sequences in CG coefficient magnitudes. MATH: - CG coefficients for su(2): \(\langle j_1 m_1; j_2 m_2 | J M \rangle\), with \(J = |j_1 - j_2|, \dots, j_1 + j_2\). - Rational theory (arXiv:1707.03022): coefficients expressed as rational functions of binomial coefficients \(\binom{a}{b}\), with orthogonality \(\sum_{m_1,m_2} \langle j_1 m_1; j_2 m_2 | J M \rangle^2 = 1\) and Regge symmetry group \(S_4\) acting on a 3×3 array of angular momentum labels. - Key constants: no explicit φ, but the dimension of the spin-\(j\) irrep is \(2j+1\), and the tota Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com