{
  "abstract": "Why topology and textbook quantum mechanics do not fix a local quantum-capacity ceiling Version: 1.0 Concept DOI: 10.5281/zenodo.21701184 Author: Ali Attar Website: quantumtraction.org Main book: Quantum Traction Theory: Main Book v10.01 A closed dial path determines an integer winding, \\[ \\nu(U)=\\frac{1}{2\\pi}\\oint_U d\\theta\\in\\mathbb Z, \\] but it does not determine how many independent degree-one completions may occupy one local clock slot. For every positive integer N, the same pre-capacity axioms admit \\[ \\boxed{ \\mathcal M_N:\\quad \\nu(e_1)=\\cdots=\\nu(e_N)=1, \\qquad a(e_j)=a, \\quad s(e_j)=n, \\quad t(e_j)=n+1. } \\] The paper constructs both a one-event model and a two-event model of the same weak premises. It therefore proves the relative independence of the A6 one-slot rule and, because that rule is a conjunct of the declared A6 family, the non-derivability of A6 itself: \\[ \\boxed{ \\mathfrak B_0\\cup\\mathfrak T_{\\rm std}\\not\\models {\\rm A6}_{\\!*}. } \\] Here the weak base retains A1 unchanged, together with the real-J dial, pre-capacity A5 support, and exact lifted A7 closure. No A6-dependent downstream theorem is used upstream. The action ledger is separated into three objects: \\[ \\boxed{ \\nu=\\frac{1}{2\\pi}\\oint d\\theta, \\qquad S_{\\rm can}=2\\pi\\hbar\\nu, \\qquad \\mathcal C_A=\\hbar\\sum_j|\\nu_j|. } \\] Topology fixes the degree. Canonical mechanics assigns the full phase-turn action. A6 supplies the positive capacity spend and the one-funded-transaction rule. The physical ℏ-capacity token is not obtained by renaming the topological winding. Independent countermodels also show that ordinary unitary mechanics permits arbitrary Hamiltonian rescaling, infinitely many zero-energy labels, fixed-integral spikes of arbitrarily large height, and nonlocal one-step permutation updates unless extra source hypotheses are imposed. The resulting necessity theorem is \\[ \\boxed{ \\text{QTT finite local capacity} \\Longrightarrow \\text{A6 or a logically equivalent source law is required.} } \\] The result preserves A1 and retains A6 as a separate axiom. Its status is structural rather than empirical: \\[ \\boxed{ \\texttt{A6 NECESSITY AND RELATIVE INDEPENDENCE: CLOSED} } \\] The physical truth of A6 remains separately falsifiable. Reproducibility: the release includes the 24-page paper and a reconstruction package containing the LaTeX source, finite-countermodel verifier, detailed machine certificate, scientific audit, render audit, and SHA-256 manifest. The verifier reports 80/80 checks passed. Related anchors: QTT Main Book v10.01 Completed-Event Hamiltonian magnitude no-go theorem Source-Completion and Winding Framework A6 Hadamard Center-Sheet theorem QTT Lexicon: A6 Quantum Capacity QTT Derivation Atlas",
  "abstract_shown": true,
  "affiliations": [
    "Quantum Traction Theory Project"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Attar Ali",
      "orcid": "0009-0008-9931-2691"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fwwn1g7cqdjrq.bib",
  "cited_by": 6,
  "doi": "10.5281/zenodo.21701184",
  "fulltext_url": null,
  "id": "fwwn1g7cqdjrq",
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  "landing_url": "https://doi.org/10.5281/zenodo.21701184",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
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  "openalex": "W7171873601",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-30",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/fwwn1g7cqdjrq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7171873601",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.21701184"
    }
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  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum Mechanics and Applications",
      "subfield": "amo"
    }
  ],
  "title": "The Independence of Artian Quantum Capacity: A Necessity and Countermodel Theorem for QTT Axiom A6",
  "title_text": "The Independence of Artian Quantum Capacity: A Necessity and Countermodel Theorem for QTT Axiom A6",
  "type": "preprint",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/fwwn1g7cqdjrq",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}