{
  "abstract": "This eighth paper in the Gaussian Physical States and Celestial Representation series establishes the successive interaction-dependent topologies required for continuous gravitational observables on a faithful physical celestial representation. Building on the physical Clebsch–Gordan transform of Paper VI and the cubic gravitational instability established in Paper VII, the analysis incorporates the complete finite-regulator cubic and fixed-action-leg quartic observables of the radiative Bose-pair sector.\n\nThe original retained celestial coefficient is densely defined, injective, unbounded, and closable, with a canonical closed realization on a proper dense source domain. On its exact retained image, the complete cubic and quartic interaction families generate the strict hierarchy\n\n[\n\n\\tau_{\\mathrm{ret}}\\subsetneq\\tau_3\\subsetneq\\tau_{3,4}.\n\n]\n\nThe first strict inclusion follows from the gravitational cubic adjoint-range obstruction. The second establishes that a physical quartic Riesz vector lies outside the sum of the genuine partial-adjoint range and the span of the full admissible cubic family. Its proof combines annular logarithmic source regularity, one-sided physical cell-face traces, two-log Mellin reconstruction, finite-regulator support reduction, and a seven-row augmented minor of complete-action gravitational coefficients. The determinant is certified through exact rational estimates involving five physical polarization moments.\n\nFurther results distinguish compatible native null-face quartic refinements from occupied-to-null-face comparisons with persistent response defects. Finite-action cubic mesh and radius-child transport calculations provide additional tests of regulator compatibility.\n\nTogether, these results characterize the continuity requirements imposed by successive gravitational interaction orders on the retained celestial state space. They provide a mathematical basis for investigating compatible asymptotic domains, physical evolution, and regulator transport in subsequent celestial scattering constructions. The present analysis concerns physical Hilbert states and complete finite-regulator action observables; it does not assume or construct a continuum scattering operator, connected scattering amplitudes, or interacting celestial operator products.",
  "abstract_shown": true,
  "affiliations": [
    "Institute Lux Consilio"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Zed James",
      "orcid": "0009-0000-2120-0739"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2ebearz1tc1j.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23651438",
  "fulltext_url": null,
  "id": "b2ebearz1tc1j",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23651438",
  "language": "eng",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23651438/files/Interaction%20Topologies%20of%20Celestial%20Radiative%20States%20v1.0.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2ebearz1tc1j.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:20:58Z",
      "native_id": "23651438",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23651438"
    }
  ],
  "subjects": [],
  "title": "Interaction Topologies of Celestial Radiative States",
  "title_text": "Interaction Topologies of Celestial Radiative States",
  "type": "preprint",
  "updated_at": "2026-11-08T12:20:58Z",
  "url": "https://research.draconitic.com/paper/b2ebearz1tc1j",
  "venue": "Zenodo",
  "versions": []
}