{
  "abstract": "A bstract : We investigate the possibility of using holographic time-like entanglement entropy (TEE) to probe the black hole interior. We choose the complex-valued extreme surface mixing spatial and temporal segments as one concrete example from various holographic candidates. In Schwarzschild-AdS black holes, we demonstrate that the TEE of time-like strips in such holographic proposal exhibits linear growth at large temporal widths, possesses a physically significant imaginary part, and obeys a time-like entanglement first-law-like relation for its real part. By analyzing charged, scalar-hairy black holes, we find this geometric TEE detects a hidden “causal phase transition” separating Type-I and Type-II interiors. We identify a critical temporal width τ c serving as a bulk diagnostic, potentially acting as a boundary order parameter: for strips narrower than τ c , the system enters a distinct phase dominated purely by time-like contributions up to an emergent effective scale; conversely, for strips wider than τ c , space-like entanglement re-emerges. Notably, a Cauchy horizon drives τ c to infinity, leading to a pure time-like entanglement phase. These results suggest that the TEE may supply a novel boundary quantum-information measure to detect structure hidden inside the black hole and suggests a deep connection between TEE and cosmic censorship.",
  "abstract_shown": true,
  "affiliations": [
    "School of Science, Tianjin University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Zi-Hao Li",
      "orcid": "0009-0009-7992-3388"
    },
    {
      "affs": [
        0
      ],
      "name": "Run-Qiu Yang",
      "orcid": "0000-0002-5322-0600"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1hczw1bv3nyc.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)012",
  "fulltext_url": null,
  "id": "b1hczw1bv3nyc",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/10.1007/JHEP10(2026)012",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7125786330",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)012.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/b1hczw1bv3nyc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)012",
      "source": "crossref",
      "url": "https://link.springer.com/10.1007/JHEP10(2026)012"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Black Holes and Theoretical Physics",
      "subfield": "high-energy"
    }
  ],
  "title": "Black hole interior and time-like entanglement entropy",
  "title_text": "Black hole interior and time-like entanglement entropy",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/b1hczw1bv3nyc",
  "venue": "Journal of High Energy Physics",
  "versions": []
}