{
  "abstract": "In this study, we explore the thermodynamic topology of black holes within the Sharma-Mittal entropy framework. Our study covers several black hole solutions, including charged and uncharged black holes in $d$-dimensional, as well as Schwarzschild and Reissner-Nordström black holes. By introducing the Sharma-Mittal entropy characterized by two parameters $δ$ and $R$, we explore how deviations from the standard Boltzmann-Gibbs statistics modify the thermodynamic structure and stability properties of these systems. Using Duan's $Φ$-mapping theory, we compute the corresponding topological numbers and classify black holes into distinct topological categories according to the winding number $W$. Moreover, our analysis shows that, within the Sharma-Mittal formalism, the topological classification is independent of spacetime dimension in the case $d>4$, although dimensions higher than four exhibit distinct features compared to the four-dimensional Schwarzschild and Reissner-Nordström black holes, reveal different behavior of thermodynamic topology under generalized statistics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07354",
  "author_total": 4,
  "authors": [
    {
      "name": "Issam Najma"
    },
    {
      "name": "Yahya Ladghami"
    },
    {
      "name": "Amine Bouali"
    },
    {
      "name": "Taoufik Ouali"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81qfg55sj0bf2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07354",
  "fulltext_url": null,
  "id": "81qfg55sj0bf2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07354",
  "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"
    ],
    [
      "openalex",
      "3109|Statistical Mechanics and Entropy"
    ]
  ],
  "openalex": "W7212037928",
  "pdf_url": "https://arxiv.org/pdf/2609.07354",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81qfg55sj0bf2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.07354",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07354"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Black Holes Thermodynamic Topology in Sharma-Mittal Statistics",
  "title_text": "Black Holes Thermodynamic Topology in Sharma-Mittal Statistics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/81qfg55sj0bf2",
  "venue": "arXiv",
  "versions": []
}