{
  "abstract": "We derive the rank-two string-Carroll limit of the canonical stress--spin Ward system for probe matter on a fixed torsion-free background. Beyond rank-one Carroll spin hydrodynamics, this retains the coupled Riemann--spin force, a second longitudinal momentum projection, and the longitudinal boost bivector allowed only by a two-dimensional longitudinal kernel. We first extract the term linear in an independent spin amplitude $ς$ and then expand in the near-horizon parameter $λ=ε^2$, avoiding contamination by the omitted $\\mathcal{O}(ς^2)$ thermodynamic spin feedback. For finite mixed stress and $S^{λμν}=\\mathcal{O}(ςε^p)$, $p=0$ is the unique sector in which the induced stress and curvature source balance at the first generic Ward order. On the regular branch of a smooth nonextremal static spherical outer horizon, locally normalized longitudinal and transverse spin amplitudes obey the same dilution law, while the curvature force first appears at $\\mathcal{O}(ςλ^2)$. For a general barotrope, the stationary system reduces to one thermodynamic quadrature and one local inverse. For the affine constant-sound-speed family $p=α\\mathcal E+Π$, $0\\leqα<1$, we obtain an explicit closed-form parametric solution, leading profiles for both spin channels, and fixed-radius, linear-spin corrections to enthalpy, pressure, and rapidity away from the sonic point. The response is governed by $\\mathcal R^{(L)}_h=(f_2+3f_1ψ_1)/2$ and the longitudinal spin flux. We prove that the stationary closed-sphere Killing flux is invariant under regular pseudo-gauge improvements. In Reissner--Nordström, the response vanishes at the radial-tidal inversion $|Q|/M=2\\sqrt{2}/3$; in the Einstein--Maxwell--dilaton family, its zero is $R_-/R_+=(1+a^2)/2$ for $0\\leq a<1$. The Frenkel limit removes this response and the longitudinal boost sector.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01634",
  "author_total": 2,
  "authors": [
    {
      "name": "Nikko John Leo Lobos"
    },
    {
      "name": "Reggie Pantig"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6rbq745ewstkg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01634",
  "fulltext_url": null,
  "id": "6rbq745ewstkg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01634",
  "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-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7207716734",
  "pdf_url": "https://arxiv.org/pdf/2609.01634",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6rbq745ewstkg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.01634",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01634"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Curvature-driven spin transport in rank-two string-Carroll hydrodynamics",
  "title_text": "Curvature-driven spin transport in rank-two string-Carroll hydrodynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/6rbq745ewstkg",
  "venue": "arXiv",
  "versions": []
}