{
  "abstract": "A black hole horizon carries exactly one nat of information per Planck cell, without naming what the black hole is made of. Two inputs suffice: entropy is irreducible uncertainty (the configurations no observation can resolve at the Planck floor, an objective bound, not ignorance), and the horizon is a complete scrambler, so by the Ehrenfest time its Wigner function has folded below the floor and no cell can be certified empty. A single cell then holds unresolved filament crossings; a cell crossed $n$ times admits $n!$ orderings that scrambling erases, so cardinality $n$ carries weight $1/n!$ and its count is $Ω_1=\\sum_n 1/n!=e$, one nat. The $N=A/\\ell_P^2$ independent cells give $Ω=e^N$, hence $S=N$. Multiplied by the kinematic factor $\\tfrac{1}{4}$ (the causally accessible fraction of the null phase space, established separately), this returns $S_{BH}=A/4\\ell_P^2$. The derivation invokes no field equations, no microscopic theory, and no posited Hilbert space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: EPL 156, 49002 (2026), pp. 49002-p1-p3",
  "arxiv": "2609.32879",
  "author_total": 1,
  "authors": [
    {
      "name": "Ira Wolfson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97h97rt4dqcnq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32879",
  "fulltext_url": null,
  "id": "97h97rt4dqcnq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32879",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.32879",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97h97rt4dqcnq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.32879",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32879"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "One nat per cell",
  "title_text": "One nat per cell",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/97h97rt4dqcnq",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1209/0295-5075/aea930",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}