{
  "abstract": "The tidal deformability of a compact object is encoded in a single function of frequency, the retarded Green's function relating the induced multipole to the applied tide. Causality, reality, passivity, and the high-frequency conditions required for a positive-measure dispersion representation allow this response to be rescaled into a holomorphic self-map of the upper complex frequency half-plane. Using the Schwarz-Pick theorem, already employed to derive the quantum chaos bound in black hole physics, we provide a bound on the rate of the tidal response with respect to the frequency. For a neutron star with a positive tidal spectral threshold, the dynamical Love number is bounded in terms of the static response and the lowest frequency carrying nonzero tidal spectral weight, with the ideal single-mode model saturating the bound. For a black hole, whose tidal spectrum is gapless, the dynamical Love number is a finite-part moment of the horizon absorption spectrum. Under a growth hypothesis on the complete response the theorem constrains the full Euclidean response, but it does not bound the dynamical Love number.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.26686",
  "author_total": 2,
  "authors": [
    {
      "name": "Alex Kehagias"
    },
    {
      "name": "Antonio Riotto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/840zszhcp7rwy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.26686",
  "fulltext_url": null,
  "id": "840zszhcp7rwy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.26686",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7171854234",
  "pdf_url": "https://arxiv.org/pdf/2607.26686",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/840zszhcp7rwy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2607.26686",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.26686"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "A Bound on the Dynamical Love Number",
  "title_text": "A Bound on the Dynamical Love Number",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/840zszhcp7rwy",
  "venue": "arXiv",
  "versions": []
}