{
  "abstract": "FINDING: The golden ratio appears as a structural constant in orbital precession, audio-harmonic generation, and a boundary condition for self-referential computational systems — but the strongest formal link is the arXiv paper treating Φ as an operational limit of stable local recurrence. | MATH: Φ = (1+√5)/2 ≈ 1.6180339887; reciprocal 1/Φ = Φ−1 ≈ 0.6180339887; Φ² = Φ+1 ≈ 2.6180339887; Fibonacci tones: fₙ = fₙ₋₁ + fₙ₋₂ (Hz sequence 89, 144, 233, 377, 610, 987…); elliptic rotation angle 153° ≈ arctan(−½) in Cartesian slope context; precession ratio claims (video, unverified) suggest rotation number ω = Φ⁻¹ or Φ⁻² for quasiperiodic orbits. | CONNECTION: Φ is the continued fraction [1;1,1,1,…] — the *most irrational* number, maximally distant from rational approximation. This directly links to rotation numbers: a quasiperiodic orbit with rotation number Φ⁻¹ = 0.618… avoids resonance locking (Arnold tongues) because its continued fraction denominators grow maximally slowly. The 0.618 rati\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/8t1h7c1krgnfw.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23526126",
  "fulltext_url": null,
  "id": "8t1h7c1krgnfw",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23526126",
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8t1h7c1krgnfw.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:51Z",
      "native_id": "23526126",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23526126"
    }
  ],
  "subjects": [],
  "title": "The Golden Ratio as a Universal Structural Constant in Physics, Audio, and Computation — E8 Intelligence Research",
  "title_text": "The Golden Ratio as a Universal Structural Constant in Physics, Audio, and Computation — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:51Z",
  "url": "https://research.draconitic.com/paper/8t1h7c1krgnfw",
  "venue": "Zenodo",
  "versions": []
}