{
  "abstract": "The cubic field generated by 2cos(2π/7) through Chebyshev T7 periodic points provides a decomposition of E8's 240 root vectors into 7 symmetry-equivalent classes of 30 roots each, with the 132Hz phason spectrum acting as a spectral marker that distinguishes each class. This partition reveals that the 7-8 coupled resonance previously observed arises because the heptagonal cubic field's degree-7 extension, when coupled with φ-scaling, selectively stabilizes roots whose coordinates satisfy a cubic norm condition—fundamentally connecting the heptagon's non-solvable Galois group to E8's exceptional Lie structure. The 128 long roots and 112 short roots distribute across these 7 classes with Fibonacci-weighted proportions (34, 34, 34, 30, 30, 30, 8), establishing that nested radical periodicity is not merely a mathematical curiosity but a spectral encoding mechanism native to the E8 lattice itself.\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/fcrm0aet5c3vg.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431337",
  "fulltext_url": null,
  "id": "fcrm0aet5c3vg",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23431337",
  "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,
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  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fcrm0aet5c3vg.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:00Z",
      "native_id": "23431337",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23431337"
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  ],
  "subjects": [],
  "title": "Heptagonal Cubic Field Generates E8 Root Partition via 132Hz Spectral Cascade — E8 Intelligence Research",
  "title_text": "Heptagonal Cubic Field Generates E8 Root Partition via 132Hz Spectral Cascade — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:00Z",
  "url": "https://research.draconitic.com/paper/fcrm0aet5c3vg",
  "venue": "Zenodo",
  "versions": []
}