{
  "abstract": "Recent efforts to identify quantum-like signatures in brain and cognition have explored Bell-type tests, temporal inequalities, and Schrödinger-inspired models. We propose a Leggett--Garg (LG) test of collective neuronal excitation--inhibition (E--I) dynamics. Two reference configurations, $\\ket{E}$ and $\\ket{I}$, span an effective two-state space governed by $H_S=\\heffΩσ_x/2$. Spatial separation of the E and I complexes need not preclude coherent superposition: when they constitute distinct subsystems, the corresponding collective alternatives can form an entangled state. The proposal tests temporal correlations, not Bell nonlocality. Complementary feedforward detectors couple selectively to E or I, with ideal negative results enabling non-invasive inference of the opposite configuration. We give a four-output-cell realization of the required projectors and detector interactions. Ideal sequential measurements yield $K_3(τ)=2\\cos(Ωτ)-\\cos(2Ωτ)$, reaching $3/2$. We also derive the four-time result $K_4^{\\max}=2\\sqrt{2}$ and explain its structural CHSH correspondence through Choi--Jamiołkowski duality. Detector efficiency, false positives, imperfect null results, timing uncertainty, and measurement disturbance are incorporated into a realistic extension. We conclude by identifying the experimental challenges of preparing, controlling, and selectively measuring collective E--I states in neuronal circuits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.12126",
  "author_total": 1,
  "authors": [
    {
      "name": "Partha Ghose"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ffhw0jx8922nz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.12126",
  "fulltext_url": null,
  "id": "ffhw0jx8922nz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.12126",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7161032112",
  "pdf_url": "https://arxiv.org/pdf/2605.12126",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ffhw0jx8922nz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2605.12126",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.12126"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Leggett--Garg Tests of Collective Excitation--Inhibition Dynamics in Neuronal Circuits",
  "title_text": "Leggett--Garg Tests of Collective Excitation--Inhibition Dynamics in Neuronal Circuits",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/ffhw0jx8922nz",
  "venue": "arXiv",
  "versions": []
}