{
  "abstract": "FINDING: Microtubule quantum coherence evidence suggests biological systems may exploit quantum superposition at mesoscale, but the mathematical core remains vibrational mode structure rather than proven consciousness-specific geometry.\n\nMATH: - Microtubule lattice: tubulin dimers arranged in 13-protofilament cylinders (13 = Fibonacci-adjacent prime), with 8nm dimer pitch and 4nm longitudinal spacing → helical symmetry group approximates a 3-start/13-start screw axis. - Quantum beat frequencies in cavity QED (arXiv:1401.3218): ω₁ - ω₂ = Δ (detuning), with second-order correlation g⁽²⁾(τ) = 1 + |g⁽¹⁾(τ)|² cos(Δτ) — coherence lifetime τ_c ∝ 1/γ (decoherence rate). - Excitation propagation in simulations: modeled as Fröhlich condensate at ~10¹¹ Hz (terahertz gap), with energy quanta ħω ≈ k_BT at 300K → ħω/k_BT ≈ 0.16 (not a golden ratio). - No published equation yet links quantum beats to 0.618 or 1.618. The 13-protofilament count is the only structural number with Fibonacci res\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/2962fm9ck6nps.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553652",
  "fulltext_url": null,
  "id": "2962fm9ck6nps",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23553652",
  "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": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2962fm9ck6nps.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:20Z",
      "native_id": "23553652",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23553652"
    }
  ],
  "subjects": [],
  "title": "Quantum Vibrational Coherence in Microtubules: Mesoscale Superposition Without Consciousness-Specific Geometry — E8 Intelligence Research",
  "title_text": "Quantum Vibrational Coherence in Microtubules: Mesoscale Superposition Without Consciousness-Specific Geometry — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:20Z",
  "url": "https://research.draconitic.com/paper/2962fm9ck6nps",
  "venue": "Zenodo",
  "versions": []
}