{
  "abstract": "We organize two related reconstruction modules into a single conditional chain: persistent oriented relational dynamics can support a phase-like coordinate, and phase-bearing histories can support relative-phase-sensitive composition and cycle-closure tests. The first module derives S¹ and real rotational structure only under declared compactness, dimensionality, continuity, nonstalling, and persistence assumptions. The second establishes exact consequences of real vector combination and finite-graph cycle consistency while keeping the combination rule and physical observation map explicit assumptions. These mathematical results do not derive quantum amplitudes, the Born rule, or a physical gauge symmetry. They define a staged set of falsifiable bridges from relation to phase and from phase to candidate relational closure; physical identification remains open.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, Melbourne, Australia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Yanghua Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5v04y1pnmkjtb.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23472242",
  "fulltext_url": null,
  "id": "5v04y1pnmkjtb",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23472242",
  "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": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5v04y1pnmkjtb.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:09Z",
      "native_id": "23472242",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23472242"
    }
  ],
  "subjects": [],
  "title": "From Relation to Phase and Relational Closure: Direction, Path Multiplicity, and Cycle Consistency in the Ω₀/A2 Programme",
  "title_text": "From Relation to Phase and Relational Closure: Direction, Path Multiplicity, and Cycle Consistency in the Ω₀/A2 Programme",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:09Z",
  "url": "https://research.draconitic.com/paper/5v04y1pnmkjtb",
  "venue": "Zenodo",
  "versions": []
}