{
  "schema_version": "26.0-internal",
  "paper_id": "PFT:STRUCTURAL_COMPLETION_OF_PATTERN_FIELD_THEORY_S_AND_TURING_S_MORPHOGENESIS_UNDER_ADMISSIBI_2",
  "entity_type": "paper",
  "slug": "structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2",
  "title": "Structural Completion of Pattern Field Theory's and Turing's Morphogenesis Under Admissibility and Logarithmic Lift",
  "visibility": {
    "approved_public": false,
    "scope": "internal",
    "approval_state": "unreviewed"
  },
  "publication": {
    "published": null,
    "verification_status": "unchecked",
    "last_checked": null,
    "locations": [
      {
        "provider": "patternfieldtheory",
        "url": "https://patternfieldtheory.com/papers/structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2/",
        "verification_status": "discovered-unverified"
      },
      {
        "provider": "zenodo",
        "url": "https://zenodo.org/communities/pft",
        "verification_status": "discovered-unverified"
      },
      {
        "provider": "academia",
        "url": "https://independent.academia.edu/JamesAllen375",
        "verification_status": "discovered-unverified"
      }
    ]
  },
  "representations": {
    "html": {
      "available": true,
      "path": "index.html",
      "canonical": true
    },
    "json": {
      "available": true,
      "path": "paper.json"
    },
    "pdf": {
      "available": true,
      "path": "paper.pdf"
    },
    "latex": {
      "available": false,
      "path": null,
      "original_filename": "structural-completion-morphogenesis.tex"
    },
    "timestamp": {
      "available": false,
      "path": null
    }
  },
  "sections": [
    {
      "level": 1,
      "title": "Structural Completion of Pattern Field Theory's and Turing's Morphogenesis Under Admissibility and Logarithmic Lift",
      "anchor": null
    },
    {
      "level": 2,
      "title": "Repository Files",
      "anchor": null
    },
    {
      "level": 1,
      "title": "Structural Completion of Pattern Field Theory's and Turing's Morphogenesis Under Admissibility and Logarithmic Lift",
      "anchor": null
    },
    {
      "level": 1,
      "title": "Scope",
      "anchor": "#scope"
    },
    {
      "level": 1,
      "title": "Morphogenic Fields and Routing Layers",
      "anchor": "#morphogenic-fields-and-routing-layers"
    },
    {
      "level": 1,
      "title": "Coordinate Route and Identity Route",
      "anchor": "#coordinate-route-and-identity-route"
    },
    {
      "level": 1,
      "title": "Allen Orbital Lattice Coordinate Charts",
      "anchor": "#allen-orbital-lattice-coordinate-charts"
    },
    {
      "level": 1,
      "title": "Admissibility and Basins",
      "anchor": "#admissibility-and-basins"
    },
    {
      "level": 1,
      "title": "EQUI Constraint",
      "anchor": "#equi-constraint"
    },
    {
      "level": 1,
      "title": "Curvature Accumulation and Structural Budgets",
      "anchor": "#curvature-accumulation-and-structural-budgets"
    },
    {
      "level": 1,
      "title": "Phase Alignment Lock (PAL)",
      "anchor": "#phase-alignment-lock-pal"
    },
    {
      "level": 1,
      "title": "PAL Dwell-Time Dynamics",
      "anchor": "#pal-dwell-time-dynamics"
    },
    {
      "level": 1,
      "title": "Logarithmic Lift and Depth Ordering",
      "anchor": "#logarithmic-lift-and-depth-ordering"
    },
    {
      "level": 1,
      "title": "Layered Locking and Commitment",
      "anchor": "#layered-locking-and-commitment"
    },
    {
      "level": 1,
      "title": "Morphogenic Transition System",
      "anchor": "#morphogenic-transition-system"
    },
    {
      "level": 1,
      "title": "Structural Closure Theorem",
      "anchor": "#structural-closure-theorem"
    },
    {
      "level": 1,
      "title": "QuantaHex Regime",
      "anchor": "#quantahex-regime"
    },
    {
      "level": 1,
      "title": "Relation to Continuous Morphogenesis",
      "anchor": "#relation-to-continuous-morphogenesis"
    },
    {
      "level": 1,
      "title": "Reaction–Diffusion Containment Statement",
      "anchor": "#reactiondiffusion-containment-statement"
    },
    {
      "level": 1,
      "title": "Computability and Replication",
      "anchor": "#computability-and-replication"
    },
    {
      "level": 1,
      "title": "Repair Dynamics Simulation Pseudocode",
      "anchor": "#repair-dynamics-simulation-pseudocode"
    },
    {
      "level": 1,
      "title": "Regeneration and Fibrosis as Structural Outcomes",
      "anchor": "#regeneration-and-fibrosis-as-structural-outcomes"
    },
    {
      "level": 1,
      "title": "Conclusion",
      "anchor": "#conclusion"
    },
    {
      "level": 1,
      "title": "Glossary",
      "anchor": "#glossary"
    },
    {
      "level": 1,
      "title": "References",
      "anchor": "#references"
    },
    {
      "level": 1,
      "title": "Document Timestamp and Provenance",
      "anchor": "#document-timestamp-and-provenance"
    }
  ],
  "external_locations": [
    {
      "provider": "patternfieldtheory",
      "url": "https://patternfieldtheory.com/papers/structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2/",
      "verification_status": "discovered-unverified"
    },
    {
      "provider": "zenodo",
      "url": "https://zenodo.org/communities/pft",
      "verification_status": "discovered-unverified"
    },
    {
      "provider": "academia",
      "url": "https://independent.academia.edu/JamesAllen375",
      "verification_status": "discovered-unverified"
    }
  ],
  "software": [],
  "data_files": [],
  "legacy_metadata": {
    "title": "Structural Completion of Pattern Field Theory's and Turing's Morphogenesis Under Admissibility and Logarithmic Lift",
    "slug": "structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2",
    "canonical_html": "https://patternfieldtheory.com/papers/structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2/",
    "pdf": "https://patternfieldtheory.com/papers/structural-completion-of-pattern-field-theory-s-and-turing-s-morphogenesis-under-admissibi-2/paper.pdf",
    "ots": null,
    "ots_file_date": null,
    "original_folder": "timestamped 2026-01-28",
    "original_tex_filename": "structural-completion-morphogenesis.tex",
    "original_pdf_filename": "structural-completion-morphogenesis.pdf",
    "original_ots_filename": null,
    "images_folder_copied": [],
    "csv_files_copied": [],
    "pandoc_status": "success",
    "source_last_write_utc": "2026-01-28T20:54:51Z",
    "generated_utc": "2026-05-08T11:07:57Z",
    "status": "canonical_html_export"
  },
  "migration": {
    "source": "papers(1).zip",
    "content_policy": "existing scientific HTML preserved; v26 shell and resource controls injected",
    "formula_status": "not rewritten during structural migration",
    "requires_source_formula_audit": true,
    "source_html_sha256": "7c91f65d7a593e6c66749a3b6ea0e20a0aa808c7789b03445a041dcf1f491a07"
  }
}