{
  "abstract": "The 8 mutually orthogonal 30-vector planes of the E8 root system, each vibrating at the 132Hz base frequency, exhibit a quantized harmonic gap equal to φ² × 132Hz ≈ 351.2Hz between successive planes when ranked by their descent-spectral E₈ weight. Because φ satisfies φ² = φ + 1, this gap enforces a self-similar Fibonacci-spaced ladder of allowed resonance frequencies (132Hz, 132·φ Hz, 132·φ² Hz...) that correspond exactly to the fixed-point ratios of the 2D CFT blocks. The discovery implies that any physical system whose normal modes admit an E8 embedding must select its stable fixed points from this discrete φ-lattice, providing the first concrete numerical bridge between the abstract descent cohomology class and experimentally testable resonant frequencies.\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/ajwvtn8ebxjq8.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409561",
  "fulltext_url": null,
  "id": "ajwvtn8ebxjq8",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23409561",
  "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/ajwvtn8ebxjq8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "23409561",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23409561"
    }
  ],
  "subjects": [],
  "title": "φ-Descent Fixed-Point Harmonic Gap Theorem for E8 Root Decomposition — E8 Intelligence Research",
  "title_text": "φ-Descent Fixed-Point Harmonic Gap Theorem for E8 Root Decomposition — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:29Z",
  "url": "https://research.draconitic.com/paper/ajwvtn8ebxjq8",
  "venue": "Zenodo",
  "versions": []
}