{
  "abstract": "\\noindent We develop a charge-matched thermodynamic framework for the regular rotating black-hole family underlying an exact model of Kerr formation. Since the Kerr endpoint already possesses a Cauchy horizon, hidden entropy is identified with the excess inner-horizon area relative to Kerr at fixed mass $M$ and angular momentum $J=Ma$: $\\Sexc=π[h_c^2-(r_-^{\\Kerr})^2]$, where $h_c$ is the regular inner-horizon radius and $r_-^{\\Kerr}=M-\\sqrt{M^2-a^2}$. Under regularity and interior-profile assumptions, we prove $r_-^{\\Kerr}<h_c<h$ and establish the sharp bound $0<\\Sexc<4πM\\sqrt{M^2-a^2}$. The Schwarzschild limit yields $\\Sexc=πh_c^2$, while $\\Sexc=0$ at the Kerr endpoint. The Kerr reference entropy satisfies $S_+^{\\Kerr}+S_-^{\\Kerr}=4πM^2$, so rotation redistributes its two-horizon contributions at fixed mass. For the time-dependent model, we derive exact evolution equations for the inner root and $\\Sexc$, interpreted as root-bookkeeping identities unless the roots are established as dynamical horizons. In the minimal $N=1$ trajectory, the apparent pole at $n=2$ is removable in the mass profile, giving a logarithmic continuation of the root equation, although the stationary curvature is singular there. The stationary Ricci-scalar density is locally absolutely integrable for $-1<n\\leq2$, with the Kerr endpoint $n=-1$ treated separately. Minkowski breaking occurs at $n=0$, independently of inner-horizon disappearance. Quasi-extremal regular configurations approach, but cannot attain, the entropy bound without losing a regular Killing horizon.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00863",
  "author_total": 3,
  "authors": [
    {
      "name": "Francisco S. N. Lobo"
    },
    {
      "name": "Jorge Ovalle"
    },
    {
      "name": "Manuel E. Rodrigues"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fm3b2hakdf5mw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00863",
  "fulltext_url": null,
  "id": "fm3b2hakdf5mw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00863",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00863",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fm3b2hakdf5mw.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00863",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00863"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Excess inner-horizon entropy and the thermodynamics of Kerr formation",
  "title_text": "Excess inner-horizon entropy and the thermodynamics of Kerr formation",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:57Z",
  "url": "https://research.draconitic.com/paper/fm3b2hakdf5mw",
  "venue": "arXiv",
  "versions": []
}