{
  "abstract": "This paper records a conditional bridge between the thimble-depth parameter D, finitedepth information readability, and an effective scale-factor readout in the Fracture–Berry–Tension framework. The central point is not that a thimble flow by itself proves a cosmological constant. Rather, the paper isolates a precise sequence of conditional statements. First, readable matter sectors require neither complete thimble fusion nor complete thimble isolation, but a finite-depth window in which sectors are distinguishable while still dynamically comparable. Second, a three-sector density-matrix toy model shows that inter-thimblecoherence is exponentially suppressed as the depth increases; this model does not produce a local minimum of von Neumann entropy at D = 0, but it motivates a separate readability functional balancing sector separation and sector coherence. Third, decomposing the thimble depth as Di = Dcom +δi separates relative generation data from a common scale mode. Relative depth differences control mass or overlap ratios, while the common mode may enter as a microscopic readout scale. Finally, if the common depth mode is read as aeff (teff ) = a0eγDcom(teff ), under the effective Lorentzian time teff of Paper-Ω, then the corresponding flat FLRW effective equation of state is wD(teff ) = −1 −2Dc¨om3γDc˙om2 . The de Sitter value wD = −1 is therefore obtained conditionally when the common thimbledepth flow is approximately inertial in the force-free common-mode direction. In canonical depth coordinates this means ¨QD ≃ 0, and, in a local window where the depth metric is approximately constant, it becomes Dc¨om ≃ 0. The golden weak-resonance branch then selects the stable dimensionless rate or slope of this inertial branch, rather than being the primary source of linearity itself. The resulting structure is best read as a scale-readout hypothesis, not as a completed derivation of dark energy. Revision notes (v0.7). This version incorporates a Torricelli-type finite-capacity interpretation of thimble convergence. The compact six-dimensional phase carrier has finite Liouville volume, while asymptotically deep thimble channels may still possess unbounded effective depth or interface complexity through shrinking transverse readout scale. This provides a geometric interpretation of negative-pressure readout: microscopic thimble contraction is read macroscopically as expansion under the scale-readout map. This version also clarifies the relation between inertial linearity, Diophantine stability, and global torus monodromy. The approximate linearity Dc¨om ≃ 0 is attributed to quadratic-carrier inertia in a force-free common-mode window. The Diophantine golden branch selects the stable dimensionless slope or rate of that inertial flow. FBT0B supplies a compatible hyperbolic SL(2,Z) monodromy branch whose contracting eigenvalue is also φ−2gr . The agreement is read as structural compatibility, not as a derivation of the Diophantine selection from monodromy alone.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "ZHAI XINGYUN"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6sqep3x6qsy4a.bib",
  "cited_by": 12,
  "doi": "10.5281/zenodo.21305068",
  "fulltext_url": null,
  "id": "6sqep3x6qsy4a",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.21305068",
  "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|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7168017632",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-11",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/6sqep3x6qsy4a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:18Z",
      "native_id": "W7168017632",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.21305068"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "PAPER-FBT32: Finite-Depth Readability and Scale-Readout Cosmology",
  "title_text": "PAPER-FBT32: Finite-Depth Readability and Scale-Readout Cosmology",
  "type": "preprint",
  "updated_at": "2026-11-06T13:20:23Z",
  "url": "https://research.draconitic.com/paper/6sqep3x6qsy4a",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}