Search Failed to Retrieve Primary Literature on Fibonacci Anyons and θ=π/5 — E8 Intelligence Research

FINDING: Search returned only popular-science Fibonacci/golden-ratio content; no primary literature on Fibonacci anyons, SU(2) integer-spin representations, or θ=π/5 was retrieved. | MATH: Fibonacci anyon quantum dimension d = φ = (1+√5)/2 ≈ 1.618; total quantum dimension D = √(1+φ²) = √(2+φ) ≈ 1.902; fusion rule τ⊗τ = 1⊕τ; braid matrix eigenvalues e^(±4πi/5), e^(∓2πi/5) with θ = π/5 (topological spin e^(iπ/5) for τ). | CONNECTION: φ = 1.618 and 1/φ = 0.618 appear directly; 2+φ = 2.618 = φ²; the θ=π/5 angle ties to the pentagon (5-fold symmetry, icosahedral/dodecahedral crystallography); √5 is the quadratic irrational underlying the golden field ℚ(√5). | DEPTH: 2 (findings are pedagogical, not research-grade; the underlying topic is depth 9–10, but the retrieved sources do not support it). Precise note on the physics (from established literature, not the retrieved links): Fibonacci anyons arise in SU(2) Chern–Simons theory at level k=3, where the admissible integer-spin (isospin) labe 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23722788
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Search Failed to Retrieve Primary Literature on Fibonacci Anyons and θ=π/5 — E8 Intelligence Research

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

Search Failed to Retrieve Primary Literature on Fibonacci Anyons and θ=π/5 — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search returned only popular-science Fibonacci/golden-ratio content; no primary literature on Fibonacci anyons, SU(2) integer-spin representations, or θ=π/5 was retrieved. | MATH: Fibonacci anyon quantum dimension d = φ = (1+√5)/2 ≈ 1.618; total quantum dimension D = √(1+φ²) = √(2+φ) ≈ 1.902; fusion rule τ⊗τ = 1⊕τ; braid matrix eigenvalues e^(±4πi/5), e^(∓2πi/5) with θ = π/5 (topological spin e^(iπ/5) for τ). | CONNECTION: φ = 1.618 and 1/φ = 0.618 appear directly; 2+φ = 2.618 = φ²; the θ=π/5 angle ties to the pentagon (5-fold symmetry, icosahedral/dodecahedral crystallography); √5 is the quadratic irrational underlying the golden field ℚ(√5). | DEPTH: 2 (findings are pedagogical, not research-grade; the underlying topic is depth 9–10, but the retrieved sources do not support it). Precise note on the physics (from established literature, not the retrieved links): Fibonacci anyons arise in SU(2) Chern–Simons theory at level k=3, where the admissible integer-spin (isospin) labe 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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