{
  "abstract": "The trans-Planckian censorship conjecture (TCC) limits inflation to a deadline of $N_{\\rm TCC}=\\ln(M_{\\rm Pl}/H_{\\rm end})$ e-folds. We formulate it in stochastic inflation as a bound at confidence $1-δ$ on the probability that a history outlasts the deadline, with three readings: one worldline, the region grown from one Hubble patch, and the reheated volume. Each reading becomes a closed-form condition, rigorous for a linear roll in leading-order stochastic inflation (for the region, in a branching model) and sharp at leading order in $N_{\\rm TCC}$: a linear roll whose classical history lasts $N_{\\rm cl}$ e-folds respects the TCC if $1-N_{\\rm cl}/N_{\\rm TCC}\\geq\\{2\\mathcal{P}_ζ[w+\\ln(1/δ)/N_{\\rm TCC}]\\}^{1/2}$, with $w=0$ for a worldline and $w=3$ for a region. On a linear slope without vacuum decay, the worldline and region readings are never weaker than the classical TCC, and on the CMB-normalized attractor all readings agree closely with it, so the bounds on the scale of inflation stand. A classical phase that ends in a flat quantum well, which the overdamped classical TCC excludes, is allowed with a margin of a few e-folds per worldline. Near the onset of eternal inflation, the readings differ. On a linear slope, a region must leave the fraction $\\sqrt{6\\mathcal{P}_ζ}$ of the deadline unused at leading order: eternal inflation is excluded for every classical history that uses a finite fraction of the deadline, as is a band of non-eternal slopes, and the slope bound becomes $|V'|>V^{3/2}/[\\sqrt2\\,π(1-N_{\\rm cl}/N_{\\rm TCC})]$. Per worldline, every slope is allowed, given a margin of a few standard deviations. A false vacuum must decay at about the eternal threshold $Γ=9H^4/(4π)$ or faster for a region or the volume, but only faster than $3H^4\\ln(1/δ)/(4πN_{\\rm TCC})$ per worldline. Whether the TCC forbids eternal inflation depends on the reading.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27319",
  "author_total": 1,
  "authors": [
    {
      "name": "Omer Guleryuz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/84eak1hbv6yh2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27319",
  "fulltext_url": null,
  "id": "84eak1hbv6yh2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27319",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7223132136",
  "pdf_url": "https://arxiv.org/pdf/2610.27319",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/84eak1hbv6yh2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27319",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27319"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Classical and Stochastic Trans-Planckian Censorship",
  "title_text": "Classical and Stochastic Trans-Planckian Censorship",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/84eak1hbv6yh2",
  "venue": "arXiv",
  "versions": []
}