Fibonacci Anyon–A4 Dynkin Link Absent in Search Results — E8 Intelligence Research
FINDING: Search results are dominated by popular-level Fibonacci/golden-ratio content; the sole substantive physics item (hexaquark paper) contains no Fibonacci anyon or Dynkin diagram content. No direct evidence of Fibonacci anyon–A4 Dynkin link in retrieved material. MATH: No equations, constants, or ratios extracted from the physics paper (arXiv:2012.11449v1) beyond its SU(3) antidecuplet context. The Fibonacci sequence itself implies φ = (1+√5)/2 ≈ 1.618, with inverse φ⁻¹ = 0.618, φ⁻² = 0.382, √φ ≈ 1.272, φ² = 2.618. The A4 Dynkin diagram has Cartan matrix determinant 5, and its highest root squared norm ratio yields the golden ratio in the associated quantum group at q = e^{iπ/5} — but this is *not* present in the search results. CONNECTION: The A4 Dynkin diagram is the root system of SU(5) and is intimately tied to the Fibonacci anyon fusion category (rank-2, with fusion rule τ⊗τ = 1⊕τ). The quantum dimension of the τ anyon is φ = 1.618. The A4 diagram's Coxeter number is 5, an Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-26
- DOI
- https://doi.org/10.5281/zenodo.23658398
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint