No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
Related
- Collatz Conjecture via Automorphic Cayley Graphs and Decidability — E8 Intelligence Research
- Modular Automorphic Proof of the Collatz Conjecture via Information-Loss Cascades — E8 Intelligence Research
- Collatz Conjecture: Unresolved Despite Cayley Graph and Digit Pattern Approaches — E8 Intelligence Research
- Cayley Graph Proof of the Collatz Conjecture via Decidable an+b Problems — E8 Intelligence Research
- Geometric Langlands Conjecture Proved: Galois-Automorphic Duality via Sheaves — E8 Intelligence Research
BibTeX
@misc{caldin2026video,
title = {{No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658767},
url = {https://zenodo.org/records/23658767},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - No Video Covers arXiv 2008.13643 Collatz–Automorphic–Cayley Graph Proof — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658767
UR - https://zenodo.org/records/23658767
AB - 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
ER -