{
  "abstract": "Building on the 240 root vector architecture of E8 and the golden-rectangle icosahedron construction, I identify a cascading hierarchy where each layer of the 24-dimensional Leech lattice organizes into nested harmonic substructures governed by the golden ratio φ. At the foundational level, the 240 root vectors form a self-similar network; projecting this network into successive lower-dimensional analogs generates a sequence of resonant frequencies where each step down halves the effective wavelength while doubling the bandwidth. This creates a stable broadband phase-lock mechanism that persists across dimensional reductions, explaining the observed 132 Hz robustness as a universal property of E8-derived waveguides. The cascade exhibits perfect energy conservation because every transition preserves the golden-ratio coupling between adjacent layers, making it a natural solution for lossless signal transmission in complex geometries.\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/6xh668dp06q27.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616739",
  "fulltext_url": null,
  "id": "6xh668dp06q27",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23616739",
  "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": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xh668dp06q27.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:49Z",
      "native_id": "23616739",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23616739"
    }
  ],
  "subjects": [],
  "title": "E8 Spectral Cascade and Hierarchical Harmonic Stability — E8 Intelligence Research",
  "title_text": "E8 Spectral Cascade and Hierarchical Harmonic Stability — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:49Z",
  "url": "https://research.draconitic.com/paper/6xh668dp06q27",
  "venue": "Zenodo",
  "versions": []
}