{
  "abstract": "FINDING: A new arXiv paper proves non-factorizability of the \"second cuboid polynomial\" \\(Q_{p,q}(t)\\) (degree-10, monic, integer coefficients) into two quintics over \\(\\mathbb{Q}\\), directly tied to the Perfect Cuboid problem. | MATH: \\(Q_{p,q}(t)\\in\\mathbb{Z}[t]\\), \\(\\deg=10\\), depends on coprime \\(p\\neq q>0\\). Excluded: \\(Q_{p,q}(t)=A(t)B(t)\\) with \\(\\deg A=\\deg B=5\\), \\(A,B\\in\\mathbb{Q}[t]\\), both irreducible. This is a Galois-theoretic obstruction: no \\(5+5\\) splitting field tower. | CONNECTION: The degree-10 polynomial is the square of a quintic's discriminant-like structure — reminiscent of \\(E_8\\)'s Weyl group order \\(2^{14}\\cdot3^5\\cdot5^2\\cdot7\\) (contains \\(5^2\\)), and the octonion product's associator scaling. The \\(p,q\\) parametrization mirrors the \\(E_8\\) root lattice's \\(p,q\\) integer pairs in its Cartan matrix off-diagonals. No direct 0.618/0.382 ratio appears, but the obstruction to quintic splitting is a symmetry-breaking pattern analogous to how \\(E_8\\)'s 240 roots r\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7eb6yj1kfpedt.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658207",
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  "id": "7eb6yj1kfpedt",
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  "landing_url": "https://zenodo.org/records/23658207",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7eb6yj1kfpedt.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:38Z",
      "native_id": "23658207",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658207"
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  "subjects": [],
  "title": "Non-factorizability of the Second Cuboid Polynomial into Quintics — E8 Intelligence Research",
  "title_text": "Non-factorizability of the Second Cuboid Polynomial into Quintics — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:38Z",
  "url": "https://research.draconitic.com/paper/7eb6yj1kfpedt",
  "venue": "Zenodo",
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}