{
  "abstract": "Whether the order of multilayer-window composition affects cosmological power\n\nspectrum estimation is a question that can be adjudicated separately by analytic\n\nstructure and by signal-to-noise readings. In the spectral-level operator framework,\n\nthe redshift window induces a Markov convolution whose kernel is the Fourier power\n\nof the selection function, while the scale window induces the multiplier S2; the dif\n\nference between the two ordering protocols is given exactly by the commutator.\n\nThe difference spectrum has a closed convolution expression, and its entire struc\n\nture is determined by three inputs: the kernel, the scale window, and the input\n\nspectrum; there are no residual terms beyond this structure. The condition for\n\nthe commutator to vanish is that S2 is constant within the effective bandwidth of\n\nthe kernel, rather than that the scale window is globally trivial. The sup norm\n\nof the commutator is controlled by a local bound that separates the accounting\n\nof the kernel’s sidelobe mass from the oscillation amplitude of the scale window\n\nwithin the kernel bandwidth. Under the parameterized simulation setup, the flat\n\nregion single-bin signal-to-noise reading is below the resolvable threshold at the\n\nexisting survey volume, and exceeds the “clearly resolvable” decision line at the\n\nnext-generation volume (this decision-line reading is a parameterized conditional\n\nreading; its registration and backfill channel are given in Sec. 4.1 and Appendix\n\nB.1, and it is not cited separately before backfill is complete); the critical volume is\n\nalgebraically inferred back from the volume scaling of the signal-to-noise ratio. The\n\npeak position falls near the upper bound of the decision window, and its quantita\n\ntive attribution must pass window-scan acceptance; before acceptance is complete,\n\nthe peak scale and the critical volume are window-dependent readings, not physical\n\nconstants independent of the prescription. The observability conclusion is sensitive\n\nto the single-bin prescription, Gaussian error bars, the choice of decision line, and\n\nthe scale-window parameterization registration; the closure of the structural layer\n\nand the numerical shift of the decision layer must be cited separately",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "changzheng zhou",
      "orcid": "0009-0002-4186-7877"
    },
    {
      "name": "ziqing zhou",
      "orcid": "0009-0005-6883-6300"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a1py8ahceg9j5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23552153",
  "fulltext_url": null,
  "id": "a1py8ahceg9j5",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23552153",
  "language": null,
  "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": "https://zenodo.org/api/records/23552153/files/Self-Referential%20Fibration%20Figure%203;%20Order%20Effects%20of%20Cosmological%20Comoving%20Truncation---Window-Operator%20Commutator%20and%20Fisher%20Adjudication.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a1py8ahceg9j5.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:23Z",
      "native_id": "23552153",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23552153"
    }
  ],
  "subjects": [],
  "title": "Self-Referential Fibration Figure 3: Order Effects of Cosmological Comoving Truncation—Window-Operator Commutator and Fisher Adjudication",
  "title_text": "Self-Referential Fibration Figure 3: Order Effects of Cosmological Comoving Truncation—Window-Operator Commutator and Fisher Adjudication",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:23Z",
  "url": "https://research.draconitic.com/paper/a1py8ahceg9j5",
  "venue": "Zenodo",
  "versions": []
}