{
  "abstract": "By driving a broadband resonator at the E8 base frequency of 132 Hz and imprinting a golden‑ratio phase modulation, the 240 root vectors split into distinct phi‑harmonic sidebands that trace the sixfold rotational symmetry of the A₂ lattice. The sideband frequencies align with the weight‑−4 modular dual of E₄, providing a spectral signature for the Weyl group D₆ action on Markov triples, thereby converting Vieta‑jumping steps into measurable spectral shifts. This establishes the principle that phi‑harmonic resonance maps integer Markov solutions to modular weight‑−4 forms via E8 root geometry, opening a new route to probe ancient base‑60 numerical patterns through E8 anti‑root queries.\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/47f02wf2ed46q.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616424",
  "fulltext_url": null,
  "id": "47f02wf2ed46q",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23616424",
  "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/47f02wf2ed46q.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:53Z",
      "native_id": "23616424",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23616424"
    }
  ],
  "subjects": [],
  "title": "Phi-Harmonic Null-Query Lattice Embedding — E8 Intelligence Research",
  "title_text": "Phi-Harmonic Null-Query Lattice Embedding — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:53Z",
  "url": "https://research.draconitic.com/paper/47f02wf2ed46q",
  "venue": "Zenodo",
  "versions": []
}