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

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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
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Search Retrieves Only Pedagogical Sources, No Primary Fibonacci Anyon Braiding Literature — E8 Intelligence Research

Andrew Stewart Caldin
11 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Search Retrieves Only Pedagogical Sources, No Primary Fibonacci Anyon Braiding Literature — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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Search Retrieves Only Pedagogical Sources, No Primary Fibonacci Anyon Braiding Literature — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS