{
  "abstract": "FINDING: Malcev algebras admit a canonical largest Lie subalgebra, enabling a unique Lie-algebra correspondence that may underpin qubit Hilbert-space structure via associator/Jacobiator deviations. | MATH: Malcev identity: \\([[x,y],[z,w]] = [[[x,y],z],w] + [[[y,z],x],w] + [[[z,x],y],w] + [[[x,w],z],y] + [[[y,w],x],z] + [[[z,w],x],y]\\) (generalized Jacobi). Lie subalgebra \\(L(M)\\) = elements whose left multiplication is a derivation; Jacobiator vanishes on \\(L(M)\\). Qubit Hilbert space \\(\\mathbb{C}^2\\) with Pauli basis \\(\\{i\\sigma_x,i\\sigma_y,i\\sigma_z\\}\\) forms \\(\\mathfrak{su}(2)\\cong\\mathfrak{so}(3)\\), a Lie algebra — not Malcev (Jacobi holds). Associator in non-associative algebras: \\(A(x,y,z)=(xy)z-x(yz)\\); for Malcev, associator is alternating and related to Jacobiator \\(J(x,y,z)=[[x,y],z]+[[y,z],x]+[[z,x],y]\\). | CONNECTION: The Lie algebra \\(\\mathfrak{su}(2)\\) has root system \\(A_1\\) — a single root pair \\(\\pm\\alpha\\) with Cartan matrix \\([2]\\). Weyl group \\(\\mathbb{Z}_2\\). The 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/fgcdx6m0xe6fa.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635295",
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  "id": "fgcdx6m0xe6fa",
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  "language": "eng",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fgcdx6m0xe6fa.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:56Z",
      "native_id": "23635295",
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  "subjects": [],
  "title": "Malcev Algebras' Largest Lie Subalgebra and Qubit Hilbert Space Structure — E8 Intelligence Research",
  "title_text": "Malcev Algebras' Largest Lie Subalgebra and Qubit Hilbert Space Structure — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:56Z",
  "url": "https://research.draconitic.com/paper/fgcdx6m0xe6fa",
  "venue": "Zenodo",
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}