{
  "abstract": "FINDING: The search results are largely tangential — the core query (j-invariant CM points, class field theory, golden ratio) yields no direct mathematical paper or theorem; instead, we get elementary pentagon proofs, Fibonacci pedagogy, and an unrelated Connes lecture. The only substantive item is a paper on higher class field theory (arXiv:0711.4485v3), which does not mention the golden ratio or j-invariant CM points explicitly.\n\nMATH: No new equations, constants, or ratios emerge from these sources. The pentagon proof gives φ = (1+√5)/2 = 1.618…, and the diagonal/side ratio in a regular pentagon is φ. The Fibonacci connection is standard: F(n+1)/F(n) → φ. The class field theory paper deals with arithmetic schemes, Wiesend's higher class field theory, and space-filling curves — no explicit φ or j-invariant CM structure is stated.\n\nCONNECTION: The only geometric harmony link is the trivial pentagon–φ relation. No 0.382, 0.786, 2.618, base-60, crystallographic symmetry, or root system\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/8rjecweb2qxjv.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431327",
  "fulltext_url": null,
  "id": "8rjecweb2qxjv",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23431327",
  "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/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8rjecweb2qxjv.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:00Z",
      "native_id": "23431327",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23431327"
    }
  ],
  "subjects": [],
  "title": "Tangential Search Results Yield No Direct Link Between Golden Ratio and CM j-Invariants — E8 Intelligence Research",
  "title_text": "Tangential Search Results Yield No Direct Link Between Golden Ratio and CM j-Invariants — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:00Z",
  "url": "https://research.draconitic.com/paper/8rjecweb2qxjv",
  "venue": "Zenodo",
  "versions": []
}