No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research

FINDING: No video in this set addresses arXiv 2008.13643 or any Collatz–automorphic–Cayley graph proof; the search returned only generic Cayley graph pedagogy. | MATH: Cayley graph definition: for group G with generating set S, graph Γ(G,S) has vertex set G and edge set {(g, gs) : g∈G, s∈S}. Connected iff S generates G. Locally finite iff S finite. Aut(Γ) is a closed subgroup of the full symmetric group on vertices; when Γ is connected and locally finite, Aut(Γ) is a totally disconnected locally compact (t.d.l.c.) group — the only substantive mathematical claim present (Ferov). | CONNECTION: None to φ-ratios (0.382/0.618/0.786/1.618/2.618), base-60, or crystallographic root systems. The permutahedron for 4 points is the Cayley graph of S₄ under adjacent transpositions — a 3D truncated octahedron, an Archimedean solid with octahedral symmetry (order 48), which is a crystallographic point group. That is the only symmetry link, and it is incidental to the search target. | DEPTH: 2 Notes 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
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658766
Primary Topic
Finite Group Theory Research
Type
preprint
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preprint

No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Finite Group Theory Research
preprint

No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: No video in this set addresses arXiv 2008.13643 or any Collatz–automorphic–Cayley graph proof; the search returned only generic Cayley graph pedagogy. | MATH: Cayley graph definition: for group G with generating set S, graph Γ(G,S) has vertex set G and edge set {(g, gs) : g∈G, s∈S}. Connected iff S generates G. Locally finite iff S finite. Aut(Γ) is a closed subgroup of the full symmetric group on vertices; when Γ is connected and locally finite, Aut(Γ) is a totally disconnected locally compact (t.d.l.c.) group — the only substantive mathematical claim present (Ferov). | CONNECTION: None to φ-ratios (0.382/0.618/0.786/1.618/2.618), base-60, or crystallographic root systems. The permutahedron for 4 points is the Cayley graph of S₄ under adjacent transpositions — a 3D truncated octahedron, an Archimedean solid with octahedral symmetry (order 48), which is a crystallographic point group. That is the only symmetry link, and it is incidental to the search target. | DEPTH: 2 Notes Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Finite Group Theory Research
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