No Primary Sources Found on Fibonacci Anyons, Braiding Phases, or Temperley-Lieb — E8 Intelligence Research

FINDING: Search returned no primary sources on Fibonacci anyons, braiding phases, or Temperley-Lieb — only generic roots-of-unity and Fibonacci-sequence tutorials. | MATH: Relevant canonical results (not from these sources): Fibonacci anyon braid phase = e^(±4πi/5) = ζ₅^±2, a primitive 5th root of unity; quantum dimension d = φ = (1+√5)/2; fusion rule τ⊗τ = 1⊕τ; Temperley-Lieb generators e_i satisfy e_i² = d·e_i, e_i e_{i±1} e_i = e_i, e_i e_j = e_j e_i (|i−j|≥2), with loop value d = φ. | CONNECTION: φ = 1.618, 1/φ = 0.618, 1/φ² = 0.382 all appear as quantum-dimension ratios; the 5th-root-of-unity braid phase ties to the pentagon (icosahedral/dodecahedral) symmetry — the 5-fold axis of the icosahedral group A₅, which is the Fibonacci anyon braid group image. | DEPTH: 2 (as delivered — sources are irrelevant to the stated domain; depth reflects the canonical mathematics, not the retrieved material). Note: The retrieved results do not support the requested analysis. The substantive math Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23910010
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
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preprint

No Primary Sources Found on Fibonacci Anyons, Braiding Phases, or Temperley-Lieb — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Algebraic structures and combinatorial models
preprint

No Primary Sources Found on Fibonacci Anyons, Braiding Phases, or Temperley-Lieb — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search returned no primary sources on Fibonacci anyons, braiding phases, or Temperley-Lieb — only generic roots-of-unity and Fibonacci-sequence tutorials. | MATH: Relevant canonical results (not from these sources): Fibonacci anyon braid phase = e^(±4πi/5) = ζ₅^±2, a primitive 5th root of unity; quantum dimension d = φ = (1+√5)/2; fusion rule τ⊗τ = 1⊕τ; Temperley-Lieb generators e_i satisfy e_i² = d·e_i, e_i e_{i±1} e_i = e_i, e_i e_j = e_j e_i (|i−j|≥2), with loop value d = φ. | CONNECTION: φ = 1.618, 1/φ = 0.618, 1/φ² = 0.382 all appear as quantum-dimension ratios; the 5th-root-of-unity braid phase ties to the pentagon (icosahedral/dodecahedral) symmetry — the 5-fold axis of the icosahedral group A₅, which is the Fibonacci anyon braid group image. | DEPTH: 2 (as delivered — sources are irrelevant to the stated domain; depth reflects the canonical mathematics, not the retrieved material). Note: The retrieved results do not support the requested analysis. The substantive math Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Algebraic structures and combinatorial models
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