Search Retrieves Only Pedagogical Sources, No Primary Fibonacci Anyon Braiding Literature — E8 Intelligence Research
FINDING: Search returned only pedagogical/derivative sources (Fibonacci Q-matrix, Binet formula, Coxeter classification intro) — no primary literature on Fibonacci anyon braiding matrices or the H3 icosahedral correspondence was retrieved. | MATH: Q-matrix Q = [[1,1],[1,0]], Q^n = [[F(n+1),F(n)],[F(n),F(n-1)]], det(Q) = -1, eigenvalues φ = (1+√5)/2 and -1/φ. Binet: F(n) = (φ^n − ψ^n)/√5, ψ = −1/φ. | CONNECTION: φ = 1.618, 1/φ = 0.618, φ² = 2.618, 1/φ² = 0.382 — the full golden-ratio family is present in the Q-matrix spectrum. | DEPTH: 2 FINDING: The Fibonacci braid group representation (the actual topological-physics object) was NOT retrieved; the search surfaced only the classical number-theoretic Fibonacci structure. | MATH: The relevant object is the Fibonacci R-matrix R = diag(e^{-4πi/5}, e^{3πi/5}) and braid generators σ₁, σ₂ satisfying σ₁σ₂σ₁ = σ₂σ₁σ₂ (Artin braid relation), with the Fibonacci fusion rule τ ⊗ τ = 1 ⊕ τ. | CONNECTION: Quantum dimension d_τ = φ; total quantum dime 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
- 2026-11-01
- DOI
- https://doi.org/10.5281/zenodo.23853650
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint