{
  "abstract": "We revisit the Hagedorn regime of string theory from a nonequilibrium perspective using Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT), which formulates thermodynamic evolution directly on the state manifold without requiring a globally well-defined canonical ensemble. Treating the inverse temperature as an instantaneous, state-dependent quantity, we derive its exact scalar evolution equation, governed in the commuting limit by higher-order fluctuation moments. In an open-system extension we prove that the inverse-temperature mobility equals unity identically on the quasi-canonical family: a divergent Hagedorn variance is necessary but not sufficient for slowing-down, and a reservoir coupled democratically to the whole spectrum drives the system across the Hagedorn scale unimpeded. Slowing-down requires instead a hierarchy of injection rates, in which direct production of highly excited strings by the reservoir is slow compared with a cascade through light quasi-particle modes. The mobility then collapses to a floor set by the ratio of the two rates, the intensive variable is pinned near the Hagedorn scale, and energy condenses into the long-string sector at a finite rate; the pinning is a long-lived transient of computable duration. Promoting the Hagedorn scale to a moduli-dependent quantity along emergent-string limits yields a finite critical distance $Δ_*$ at which the thermodynamic inertia diverges as $(Δ_*-Δ)^{a-3}$ for $1<a<3$, and beyond which pinning can activate. Since Kaluza--Klein towers admit no such divergence, this provides a thermodynamic discriminant between emergent-string and decompactification limits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.06497",
  "author_total": 2,
  "authors": [
    {
      "name": "Cesar Damian"
    },
    {
      "name": "Oscar Loaiza-Brito"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6qrex0annh68.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.06497",
  "fulltext_url": null,
  "id": "b6qrex0annh68",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.06497",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7160608770",
  "pdf_url": "https://arxiv.org/pdf/2605.06497",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6qrex0annh68.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2605.06497",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.06497"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "The Hagedorn Temperature as a Nonequilibrium Dynamical Bottleneck in String Thermodynamics",
  "title_text": "The Hagedorn Temperature as a Nonequilibrium Dynamical Bottleneck in String Thermodynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/b6qrex0annh68",
  "venue": "arXiv",
  "versions": []
}