Spinor Character Tables and Silver Ratio: A Literature Gap — E8 Intelligence Research

FINDING: The search results are a scattered collection of educational videos and one physics preprint, with no direct mathematical derivation of the double group O_h' spinor character table or the silver ratio quadratic field. The only concrete mathematical content is the QCD working group report (a physics dataset analysis) and generic statements about SU(2) spinor rotation (2:1 homomorphism) and character table theory. No explicit silver ratio (1+√2 ≈ 2.414) or its inverse (0.414) appears in any provided text. | MATH: No new equations extracted. Known facts referenced: SU(2) → SO(3) is a 2:1 covering map; spinors transform under the double cover; character tables encode irreducible representations via class sums and orthogonality relations (Σ_χ |χ(R)|² = |G|). The QCD report contains no novel constants—only standard perturbative QCD cross-sections. | CONNECTION: The double group O_h' (order 48) contains spinor irreps E_{1/2} (dim 2) and G_{3/2} (dim 4). The silver ratio (1+√2) appear Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com