{
  "abstract": "In analytically tractable models of Einstein-scalar critical collapse, it has been shown that the quantum self-energy of the collapsing matter in the dominant $s$-wave sector grows with Lyapunov exponent $D-2$, eventually competing with the classical instability that controls black hole formation. This competition shifts the naked singularity threshold and produces a finite mass gap within semiclassical control, yet that control may appear threatened as the spacetime dimension $D\\to\\infty$. We study this quantum growing mode in both continuously (CSS) and discretely (DSS) self-similar critical spacetimes at large $D$ and establish that the universal Lyapunov exponent survives both forms of self-similarity. In CSS, the classical approach to a naked singularity is interrupted by the appearance of trapped surfaces. At large $D$, the horizon tracing reduces to a Bessel problem, yielding a quantum wall whose radius obeys $r_h\\propto(D-2)^{-2}$. This radius can remain above the Planck scale at finite $D$, although maintaining this hierarchy becomes increasingly demanding as $D$ grows. In DSS, the same growth is modulated by echoing and can retain memory of previous echoes. The simplest anomaly-induced action exhibits accumulating memory but is singular at the spherical center. We construct a covariant one-loop action whose stress tensor remains smooth throughout the DSS domain and organize it into an echo-periodic structure without memory. This suggests that the smooth vacuum polarization of the genuine four-dimensional DSS Choptuik spacetime may similarly be governed by its exact echoing symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20705",
  "author_total": 1,
  "authors": [
    {
      "name": "Chih-Hung Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9b3cfwyertgaw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20705",
  "fulltext_url": null,
  "id": "9b3cfwyertgaw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20705",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7222725236",
  "pdf_url": "https://arxiv.org/pdf/2610.20705",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9b3cfwyertgaw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20705",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20705"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum critical collapse in the large $D$ limit",
  "title_text": "Quantum critical collapse in the large D limit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/9b3cfwyertgaw",
  "venue": "arXiv",
  "versions": []
}