{
  "abstract": "This working draft develops a restricted finite-dimensional mathematical-physics toy framework for studying rarity of regular constraint classes on spaces of reduced-history representatives. A reduced-history constraint is represented by a specified mismatch function on an admissible finite-dimensional representative space. Under explicit regularity assumptions—compact embedded zero set, assumed effective codimension, bounded reference density, and local distance comparability of the mismatch—the relative small-tolerance tube volume scales with the corresponding codimension. The tube-scaling statement used here is a standard finite-dimensional tubular-neighborhood estimate. The intended contribution is not a new theorem in differential geometry, but an assumption-explicit reduced-history diagnostic: reference-measure bookkeeping, bounded-reweighting robustness, macrostate-preimage criteria, comparison-family criteria, construction-order guardrails, and an explicit no-inference result. Restart compatibility is treated only as one structured example of such a reduced-history constraint, generated by early/late comparison data and an admissible comparison family. The paper does not claim that the universe satisfies a restart or closure condition. This draft deliberately makes no claim of physical selection from geometric rarity. It does not derive the Born rule, solve the measurement problem, define a physical measure on the full gravitational solution space, replace quantum mechanics or general relativity, or make laboratory or cosmological predictions. It is intended as a cautious working draft and technical narrowing of earlier broader complete-history-selection notes. This working draft is a narrowed technical follow-up to earlier broader Zenodo priority and roadmap records. It should not be read as a complete foundations theory or as a claim of physical history selection.",
  "abstract_shown": true,
  "affiliations": [
    "Ruhr University Bochum"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Niels Boelger",
      "orcid": "0009-0006-3785-5397"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ftnjnqtpttf61.bib",
  "cited_by": 7,
  "doi": "10.5281/zenodo.20925344",
  "fulltext_url": null,
  "id": "ftnjnqtpttf61",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.20925344",
  "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|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7166105634",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-26",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/ftnjnqtpttf61.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7166105634",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.20925344"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Relativity and Gravitational Theory",
      "subfield": "general"
    }
  ],
  "title": "Constraint-Rarity in Reduced-History Toy Models: A Finite-Dimensional Tube-Scaling Diagnostic",
  "title_text": "Constraint-Rarity in Reduced-History Toy Models: A Finite-Dimensional Tube-Scaling Diagnostic",
  "type": "peer-reviewed",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/ftnjnqtpttf61",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}