{
  "abstract": "The dominant Earth-Moon tide is accurately described by Newtonian theory, but interpreting a possible off-diagonal residual requires separating its signature from errors in the standard tidal model. In a local lunar principal frame, the Newtonian plus channel varies as cos(2 beta), whereas a symmetric off-diagonal residual enters the sin(2 beta) quadrature. We extend this separation to a globally defined three-dimensional symmetric trace-free tensor with two transverse coefficients projected onto each station vertical. This formulation establishes an exact first-order identifiability limit: lunar-frame errors generate responses indistinguishable from the cross-residual signal, making finite constraints intrinsically prior limited. A joint-prior GLS/Fisher forecast incorporates frame, ephemeris, projection, terrestrial-response, loading, environmental, instrumental, and correlated-network uncertainties. The dimensionless worst-principal-axis uncertainties are 9.513 x 10^-3, 4.490 x 10^-4, and 4.182 x 10^-5 for conservative, moderate, and optimistic synthetic networks. Monte Carlo injection-recovery experiments assess robustness using independent calibration and validation halves. Under the declared response-expanded Stress budget, optimistic formal all-draw coverage falls to 0.317, with a false-positive rate of 0.685; calibrated robust covariance restores held-out coverage to 0.949 and the false-positive rate to 0.051. These results remain conditional on the synthetic assumptions. The Halilsoy cross-polarized sector provides only a local morphology template; no detection or constraint on gamma_H is claimed. The physical contribution is to establish how a generic lunar cross-residual would enter gravimetric observations and what independent constraints are required to distinguish it from standard tidal-model errors, providing a quantitative foundation for future observational tests.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.21074",
  "author_total": 1,
  "authors": [
    {
      "name": "Muhittin Cenk Eser"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c3ppxskmg2p67.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.21074",
  "fulltext_url": null,
  "id": "c3ppxskmg2p67",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.21074",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "1910|Geophysics and Gravity Measurements"
    ]
  ],
  "openalex": "W7162038412",
  "pdf_url": "https://arxiv.org/pdf/2605.21074",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c3ppxskmg2p67.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2605.21074",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.21074"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Frame Degeneracy and Sine-Quadrature Residuals in Lunar Tidal Modeling",
  "title_text": "Frame Degeneracy and Sine-Quadrature Residuals in Lunar Tidal Modeling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/c3ppxskmg2p67",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3847/1538-4357/aeacd5",
      "pid": "1wj5syvw6xe3c",
      "relation": "published-as",
      "title": "Frame Degeneracy and Sine-quadrature Residuals in Lunar Tidal Modeling",
      "venue": "The Astrophysical Journal"
    }
  ]
}