{
  "abstract": "One finite capacity ledger for rest energy, phase rate and endurance flux\n\n\\[ \\boxed{\\begin{gathered} \\widehat H_{\\rm rest}=\\hbar\\widehat\\Gamma_{A2},\\\\ \\widehat\\Gamma_{A2}=\\frac{\\widehat B}{\\widetilde t_A}. \\end{gathered}} \\]\n\nRest energy and the rate of A2 endurance activity are two readings of the same finite funded-capacity operator. The sixth face isolates that source relation and proves its spectral, expectation, finite-window and closed-surface consequences.\n\nThe result is inherited from the inertia construction. Its physical interpretation differs from the frequency face: angular phase advance and support required for continued existence have the same inverse-tick scale but count different operations. The relation does not mean that a stationary object releases its rest energy as heat.\n\nWhat would count as an independent rate test?\n\nThe paper specifies a separately calibrated rate instrument and the joint residual\n\n\\[ \\begin{gathered} r=E_{\\rm ind}-\\hbar\\widehat\\gamma,\\\\ \\begin{aligned} \\operatorname{Var}(r)&=\\sigma_E^2+\\hbar^2\\sigma_\\gamma^2\\\\ &\\quad{}-2\\hbar\\operatorname{Cov}(E,\\widehat\\gamma). \\end{aligned} \\end{gathered} \\]\n\nAn identifiability argument shows why defining the rate as energy divided by action cannot test the relation, and why an unknown detector efficiency can absorb a putative departure. The physical source-to-detector transfer must therefore be qualified independently.\n\nThe mean endurance identity does not select a Poisson noise law. The paper preserves that distinction and introduces no measured endurance rate, heat-release claim or experimental significance.\n\nThe current-version PDF is the primary preview. The reconstruction ZIP contains the full source and reproducible calculations.\n\nStable paper DOI · Artian's Universe: Main Book · Corpus Tree\n\nRelated work and the distinct source construction\n\nConrad Ranzan's The Fundamental Process of Energy--Part I (2014), Sections 5-6, already identifies mass-energy with substrate absorption. His Dynamic Aether Theory of Gravity (2025), Sections 1.1 and 6.1, connects continuing supply with existence and explicitly describes discrete units. His 2014 text also rejects gravitons. These broad ideas are credited as related work rather than claimed as exclusive QTT distinctions.\n\nThe additional QTT structure is the declared completed-event product capacity, A7 modular normalization and common funded-operator energy/endurance construction. An induced density is not counted as a second independent value prediction. A bare substrate unit is distinguished from a completed energy-valued event. The comparison is bounded to the two examined works; it assigns no new observational significance and changes none of the inherited theorem or access-map statuses.\n\nPrimary references: Ranzan's 2014 primary reprint; Ranzan's 2025 gravity paper.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, Colombes, France"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Ali Attar",
      "orcid": "0009-0008-9931-2691"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8nsk5q5hw8af0.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23543389",
  "fulltext_url": null,
  "id": "8nsk5q5hw8af0",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23543389",
  "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": "https://zenodo.org/api/records/23543389/files/00_qtt_sixth_face_v1_2.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8nsk5q5hw8af0.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:20:57Z",
      "native_id": "23543389",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23543389"
    }
  ],
  "subjects": [],
  "title": "The Sixth Face of the Unified Equilibrium Law: Endurance-Rate and Rest-Energy Closure in Quantum Traction Theory",
  "title_text": "The Sixth Face of the Unified Equilibrium Law: Endurance-Rate and Rest-Energy Closure in Quantum Traction Theory",
  "type": "preprint",
  "updated_at": "2026-11-04T12:20:57Z",
  "url": "https://research.draconitic.com/paper/8nsk5q5hw8af0",
  "venue": "Zenodo",
  "versions": []
}