{
  "abstract": "We construct the covariance-sector Bures geometry of centered bosonic Gaussian states from the Gaussian symmetric-logarithmic-derivative equation and determine its quantum-admissible domain. At the Williamson uncertainty floor, the boundary geometry is anisotropic: spectrum-changing radial coefficients diverge, whereas squeezing and rotation directions along the pure Gaussian orbit remain finite. Dually, the covariance cometric acquires an exact \\(m^2\\)-dimensional kernel when \\(m\\) modes become pure, yet the boundary remains at finite radial Bures distance. We derive the potential \\[ Φ=-\\tfrac12\\sum_k\\log(ν_k^2-\\tfrac14), \\] which generates fixed-frame covariance dilation and equals \\(βF\\) on fixed-Hamiltonian thermal families. At large symplectic eigenvalue, the relative quantum correction is \\(O(\\hbar^2/ν^2)\\), recovering covariance Fisher--Rao geometry. This intrinsic classical regime differs from the pure-state boundary, where classical statistics require a specified measurement channel. As a secondary comparison, the normalized Bures, Fisher--Rao, and action-matched Bures--Wasserstein determinant densities possess an exact one-mode junction at \\[ (x,η)=(\\sqrtφ,\\sqrtφ),\\qquad x=2ν/\\hbar. \\] This junction is kinematic, and its branch interpretation is conditional. At a prescribed finite nonzero compression rate, the Bures action diverges while the Bures--Wasserstein cost remains finite; a bounded Bures budget instead enforces radial deceleration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17563",
  "author_total": 1,
  "authors": [
    {
      "name": "Christian Kerskens"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dsbfzzdm0pppy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17563",
  "fulltext_url": null,
  "id": "dsbfzzdm0pppy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17563",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7213495841",
  "pdf_url": "https://arxiv.org/pdf/2609.17563",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dsbfzzdm0pppy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.17563",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17563"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The Global Geometry of the Gaussian Bures Manifold: Admissible Domain, Spectral Boundary, and Asymptotic Classicality",
  "title_text": "The Global Geometry of the Gaussian Bures Manifold: Admissible Domain, Spectral Boundary, and Asymptotic Classicality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/dsbfzzdm0pppy",
  "venue": "arXiv",
  "versions": []
}