{
  "abstract": "Using the E8 lattice's 240 root vectors as angular references in an 8‑dimensional space, we convert each planet's sidereal period ratio (relative to Earth) into a dimensionless frequency by scaling with the 132 Hz base frequency and φ‑coupling. The resulting frequencies align with specific root‑vector directions; the TRAPPIST‑1 chain shows a missing vector at a 5 : 3 period ratio, implying a yet‑undetected planet with an orbital period of ~4.5 days. This prediction follows directly from the symmetry‑preserving projection of resonant ratios onto the E8 root lattice, extending the Saturn‑Jupiter φ³ resonance to exoplanetary architectures.\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/cmtk4mkc6dawa.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616586",
  "fulltext_url": null,
  "id": "cmtk4mkc6dawa",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23616586",
  "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/cmtk4mkc6dawa.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:50Z",
      "native_id": "23616586",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23616586"
    }
  ],
  "subjects": [],
  "title": "E8 Root Vectors Predict 5:3 Resonant Exoplanet in TRAPPIST-1 — E8 Intelligence Research",
  "title_text": "E8 Root Vectors Predict 5:3 Resonant Exoplanet in TRAPPIST-1 — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:50Z",
  "url": "https://research.draconitic.com/paper/cmtk4mkc6dawa",
  "venue": "Zenodo",
  "versions": []
}