{
  "abstract": "We identify the mechanisms and range of validity of two scaling laws reported in charged black-hole interiors. In spherical evolutions with a neutral massless scalar, mass inflation produces a large internal mass $m$, followed by a plateau. Small scalar and electric corrections give $K\\simeq48m^2/r^6$, where $r$ is the areal radius and $K$ the Kretschmann scalar. The local exponent is near six when the mass and relative curvature correction also vary slowly with radius. The exact bound $K\\geq28q^4/(5r^8)$, with $q$ the charge, excludes a finite-coefficient $r^{-6}$ asymptote, while a large plateau mass delays electric corrections to $r\\sim q^2/m$. For sufficiently large plateau mass, this classical regime can reach Planckian curvature before electric corrections become significant. At fixed coordinates and initial gauge, a linear response of $ρ=r^2$ to the initial scalar amplitude $A$ gives the half-power radius law near a simple zero. Where both mechanisms apply, $K/m^2\\propto(A_*-A)^{-3}$, with $A_*$ the area zero. Full evolutions confirm the electric correction, support the half-power law at several observation times, and test the joint inverse-cube law.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40043",
  "author_total": 1,
  "authors": [
    {
      "name": "Fu-Guo Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3c8hs1z8geydf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40043",
  "fulltext_url": null,
  "id": "3c8hs1z8geydf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40043",
  "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",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40043",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3c8hs1z8geydf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.40043",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40043"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Curvature scaling and linear area response in charged black-hole interiors",
  "title_text": "Curvature scaling and linear area response in charged black-hole interiors",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/3c8hs1z8geydf",
  "venue": "arXiv",
  "versions": []
}