{
  "abstract": "Kaniadakis, or $κ$-generalized, statistical mechanics provides a flexible framework for describing complex systems in the relativistic regime and predicts a richer phenomenology compared to its standard Maxwell-Boltzmann counterpart. In the present work, we extend the investigation of photon gas thermodynamics at the Planck scale within doubly special relativity to the framework of $κ$-generalized statistical mechanics. By adopting the $κ$-generalized statistical approach, we derive the principal thermodynamic quantities of a photon gas at the Planck scale, including the internal energy $U$, Helmholtz free energy $F$, pressure $P$, entropy $S$, and heat capacity $C_{\\rm V}$. We find that these $κ$-deformed thermodynamic quantities exhibit nontrivial dependence on the deformation parameter $κ$. We then numerically evaluate these quantities as functions of temperature $T$, and reveal that, as $T$ approaches the Planck scale, the $κ$-deformed thermodynamic quantities are significantly suppressed relative to those in special relativity, while in the low-temperature regime they are enhanced and exceed their counterparts in special relativity, as a consequence of the $κ$-generalized statistics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00606",
  "author_total": 4,
  "authors": [
    {
      "name": "Xinyi Yang"
    },
    {
      "name": "Qi Xiong"
    },
    {
      "name": "Guifeng Su"
    },
    {
      "name": "Yi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16yra9ceqwdcc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00606",
  "fulltext_url": null,
  "id": "16yra9ceqwdcc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00606",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3109|Statistical Mechanics and Entropy"
    ]
  ],
  "openalex": "W7206205535",
  "pdf_url": "https://arxiv.org/pdf/2609.00606",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16yra9ceqwdcc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00606",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00606"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Photon Gas Thermodynamics with $κ$-generalized statistics at Planck-Scale",
  "title_text": "Photon Gas Thermodynamics with κ-generalized statistics at Planck-Scale",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/16yra9ceqwdcc",
  "venue": "arXiv",
  "versions": []
}