{
  "abstract": "A magnetic spacetime can approach Schwarzschild while its electromagnetic characteristics remain singular in the same parameter limit. We study this separation in fractional-power nonlinear electrodynamics as the exponent tends to zero with asymptotic mass, magnetic charge and nonlinear coupling independently fixed. The extraordinary polarization admits a common physical time direction only outside a boundary that grows as the inverse fourth root of the exponent. On this radial scale, the lapse tends to unity but the constitutive angular response retains a nondegenerate barrier and finite scaled critical data. An exact representation of the exterior electromagnetic energy yields complete second-order corrections to the orbit and impact, separating mass and charge contributions and their distinct cancellations. Constraining the mass to equal the electromagnetic self-energy preserves the leading critical constants while changing the approach from fourth-root to square-root corrections. Returning rays remain inside the admissible exterior and define a limiting scattering function with a calculated logarithmic strong-deflection coefficient. In the weak regime, constitutive bending decays as the inverse fourth power of scaled impact, whereas finite mass supplies a slower inverse-impact tail. We determine their competition scale, its accessibility above the critical impact, and the accuracy of the two-term approximation. Independent energy, orbit and scattering calculations check the expansions and resolve their parameter-dependent convergence. The analysis shows how a nearly vacuum background can support a distinct exterior optical limit through the nonlinear constitutive response.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.42091",
  "author_total": 3,
  "authors": [
    {
      "name": "Jonathan A. Rebouças"
    },
    {
      "name": "R. Martínez von Dossow"
    },
    {
      "name": "Edson Otoniel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/adpacjbpb88wj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.42091",
  "fulltext_url": null,
  "id": "adpacjbpb88wj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.42091",
  "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/2610.42091",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/adpacjbpb88wj.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.42091",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.42091"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Hyperbolic scaling of the small-exponent limit in magnetic nonlinear electrodynamics",
  "title_text": "Hyperbolic scaling of the small-exponent limit in magnetic nonlinear electrodynamics",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/adpacjbpb88wj",
  "venue": "arXiv",
  "versions": []
}