Fibonacci Anyons and A4 Dynkin Diagrams: A Literature Gap — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are predominantly **pedagogical or tool-oriented content** on the Fibonacci sequence and golden ratio, with **one tangential physics paper** on hexaquark decay that does not mention Fibonacci anyons, A4 Dynkin diagrams, or quantum dimension. The core query (Fibonacci anyon / A4 / golden ratio fusion category) is **not directly addressed** by any retrieved source.
MATH: - From the pedagogical sources: Fn+1 = Fn + Fn−1, with limit limn→∞ Fn+1/Fn = φ = (1+√5)/2 ≈ 1.6180339887. - Reciprocal: 1/φ = φ − 1 ≈ 0.6180339887. - Binet's formula: Fn = (φn − (−φ)−n)/√5. - From the physics paper (arXiv:2012.11449): no golden ratio or Fibonacci anyon content; it concerns SU(3) antidecuplet mass relations for hexaquarks — no direct mathematical constants beyond standard group theory.
CONNECTION: - The **golden ratio** φ appears in the Fibonacci limit, but **
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026fibonacci,
title = {{Fibonacci Anyons and A4 Dynkin Diagrams: A Literature Gap — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658189},
url = {https://zenodo.org/records/23658189},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Fibonacci Anyons and A4 Dynkin Diagrams: A Literature Gap — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658189
UR - https://zenodo.org/records/23658189
AB - FINDING: The search results are predominantly **pedagogical or tool-oriented content** on the Fibonacci sequence and golden ratio, with **one tangential physics paper** on hexaquark decay that does not mention Fibonacci anyons, A4 Dynkin diagrams, or quantum dimension. The core query (Fibonacci anyon / A4 / golden ratio fusion category) is **not directly addressed** by any retrieved source. MATH: - From the pedagogical sources: F_n+1 = F_n + F_n−1, with limit lim_n→∞ F_n+1/F_n = φ = (1+√5)/2 ≈ 1.6180339887. - Reciprocal: 1/φ = φ − 1 ≈ 0.6180339887. - Binet's formula: F_n = (φ^n − (−φ)^−n)/√5. - From the physics paper (arXiv:2012.11449): no golden ratio or Fibonacci anyon content; it concerns SU(3) antidecuplet mass relations for hexaquarks — no direct mathematical constants beyond standard group theory. CONNECTION: - The **golden ratio** φ appears in the Fibonacci limit, but ** Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -