{
  "abstract": "In this paper, we investigate how different diagnostics characterize the thermodynamic branch structure of black holes. In three charged AdS black hole examples, the thermodynamic topological transition point $τ_a$, where the total topological number changes, is separated from the point $τ_b$ where the branch response considered here, evaluated along a path with fixed charge parameters, becomes singular. Using the zero-point curves $τ(r_h)$, we identify the local mechanisms behind this separation. At $τ_a$, a zero point with nonzero winding enters or leaves the positive-radius physical branch set through the boundary of the counted domain, changing $W$ without making the corresponding positive-radius branch singular. At $τ_b$, the zero-point curve develops a finite-radius turning point, where two branches with opposite winding numbers annihilate and the branch response diverges. Thus, in the analyzed examples, a change in the topological number records a change in branch membership, whereas a response singularity records a loss of local invertibility along an admitted branch. The two diagnostics therefore probe different local events of the same zero-point branch geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.07364",
  "author_total": 1,
  "authors": [
    {
      "name": "Di Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ktfa5nfrm18j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.07364",
  "fulltext_url": null,
  "id": "3ktfa5nfrm18j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.07364",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7167839583",
  "pdf_url": "https://arxiv.org/pdf/2607.07364",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ktfa5nfrm18j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2607.07364",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.07364"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Topological changes and response singularities in black hole thermodynamic branch structure",
  "title_text": "Topological changes and response singularities in black hole thermodynamic branch structure",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/3ktfa5nfrm18j",
  "venue": "arXiv",
  "versions": []
}