{
  "abstract": "Clusters that merge and split have no unique genealogy. Tracking the host size of a conserved constituent defines $q_*$ by $\\langle(S_{t+τ}/S_t)^{q_*}\\rangle=1$, with $q_*\\ne0$. Across coupled map networks, coagulation-fragmentation dynamics, and Vicsek systems, $q_*\\simeqα-2$ without fitting, where $c(s)\\propto s^{-α}$ on the same size window. Radius scans locate the known Vicsek interaction radius and recover an independently specified clustering scale in experimental active rods. Local scale covariance yields the relation, while a tent map counterexample shows when reducing the stationary balance at each parent size to one moment fails.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02960",
  "author_total": 1,
  "authors": [
    {
      "name": "Kenji Shinoda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bqncf5qn50rsv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02960",
  "fulltext_url": null,
  "id": "bqncf5qn50rsv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02960",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "nlin.AO"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7208769187",
  "pdf_url": "https://arxiv.org/pdf/2609.02960",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bqncf5qn50rsv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.02960",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02960"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Constituent-Tagged Transfer Linking Cluster Dynamics to Static Scaling",
  "title_text": "Constituent-Tagged Transfer Linking Cluster Dynamics to Static Scaling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/bqncf5qn50rsv",
  "venue": "arXiv",
  "versions": []
}