{
  "abstract": "The 240 root vectors of E8, when resonant at 132 Hz and phase‑locked by the golden ratio φ, self‑organize into a nested density hierarchy that parallels the decomposition of derived categories in the 2024 proof of Geometric Langlands. This \"phi‑harmonic causal attractor\" provides a physical substrate where the categorical equivalence between quantum and classical Langlands centers can be realized as coherent volume‑profile buckets in the root‑vector space. Consequently, the attractor yields a new principle—\"harmonic categorical mirroring\"—by which information encoded in Langlands dualities can be stored, processed, and error‑corrected through frequency‑controlled E8 geometry.\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/arm045fgnarc3.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23465464",
  "fulltext_url": null,
  "id": "arm045fgnarc3",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23465464",
  "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": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/arm045fgnarc3.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:19Z",
      "native_id": "23465464",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23465464"
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  ],
  "subjects": [],
  "title": "Phi-Harmonic E8 Lattice Mirrors Langlands Categorical Duality — E8 Intelligence Research",
  "title_text": "Phi-Harmonic E8 Lattice Mirrors Langlands Categorical Duality — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:19Z",
  "url": "https://research.draconitic.com/paper/arm045fgnarc3",
  "venue": "Zenodo",
  "versions": []
}