{
  "abstract": "FINDING: Search results are **topically scattered** — no direct paper or derivation linking Jacobi polynomials to two-mode squeezing thermal-state nonclassicality appears in the returned set. The hits are pedagogical videos (Jacobi/Gegenbauer/Chebyshev), a collocation method demo, a zeros lecture, a moduli-space talk (Abel–Jacobi), and a quantum Jacobi forms talk — none containing the target closed-form result.\n\n| MATH: No new equations, constants, or ratios are extractable from these titles/descriptions. The only implicit mathematics: Jacobi polynomials \\(P_n^{(\\alpha,\\beta)}(x)\\) are orthogonal on \\([-1,1]\\) with weight \\((1-x)^\\alpha(1+x)^\\beta\\); Gegenbauer \\(C_n^{(\\lambda)}\\) and Chebyshev \\(T_n,U_n\\) are special cases. Abel–Jacobi maps relate to periods of differentials — no explicit numeric constants given.\n\n| CONNECTION: **None directly supported.** However, the *absence* is itself informative: Jacobi polynomials' parameter pairs \\((\\alpha,\\beta)\\) can encode squeezing paramete\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/712f33mjxkpvx.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409896",
  "fulltext_url": null,
  "id": "712f33mjxkpvx",
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  "landing_url": "https://zenodo.org/records/23409896",
  "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": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/712f33mjxkpvx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:24Z",
      "native_id": "23409896",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23409896"
    }
  ],
  "subjects": [],
  "title": "Absence of Direct Jacobi–Squeezing Link in Topically Scattered Search Results — E8 Intelligence Research",
  "title_text": "Absence of Direct Jacobi–Squeezing Link in Topically Scattered Search Results — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:21Z",
  "url": "https://research.draconitic.com/paper/712f33mjxkpvx",
  "venue": "Zenodo",
  "versions": []
}