{
  "abstract": "This note recasts the UDCT v7.01–v7.06 calculations as a verification paper. Standard MOND-family field theories (AQUAL, QUMOND) employ a positive interpolating function μ or ν. Their weak-field equations do not contain the extra Hessian-sourced tensor Pij tested in this UDCT candidate. The object under audit is therefore not standard AQUAL or QUMOND. Where the density-weighted virial integral is negative, that sign is not produced by a negative interpolating function. It is produced because the action-derived Hessian contribution exceeds the positive leading term. A previously preregistered ultra-faint-dwarf velocity proxy (O8d / D8b) matched 0/22 objects within a factor of two; that historical gate is not reopened. This file is a wording revision of the 29 September 2026 verification draft; no new calculations were performed. Simulations, code and drafting in this series were carried out with substantial assistance from large language models (Anthropic Claude; OpenAI ChatGPT; Google Gemini; xAI Grok) under the author's direction. The author defined the research questions and released code for independent reproduction. The historical O8d/D8b result remains a prior registered gate (0/22). This v7.06 note is a post-outcome wording revision and does not reopen that gate.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, Auckland, New Zealand"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Won Shik Paik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f147aa4xggxxb.bib",
  "cited_by": 8,
  "doi": "10.5281/zenodo.23039753",
  "fulltext_url": null,
  "id": "f147aa4xggxxb",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.23039753",
  "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",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7214786711",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/f147aa4xggxxb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:18Z",
      "native_id": "W7214786711",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.23039753"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "UDCT v7.06 - sign audit of a Hessian term absent from the standard MOND equation: action-consistent virial work and conditional Jeans tests in three ultra-faint dwarfs",
  "title_text": "UDCT v7.06 - sign audit of a Hessian term absent from the standard MOND equation: action-consistent virial work and conditional Jeans tests in three ultra-faint dwarfs",
  "type": "preprint",
  "updated_at": "2026-11-04T13:21:02Z",
  "url": "https://research.draconitic.com/paper/f147aa4xggxxb",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}