{
  "abstract": "Disordered hyperuniformity spans twenty-five orders of magnitude, from the microscopic world of soft and condensed matter to the distribution of matter in the universe. We introduce a free-energy functional with no adjustable coupling, a phase-field-crystal ordering term and a Newtonian tail, and show that its two kinetic limits generate two of these structures. Under conserved overdamped dynamics it arrests in a bicontinuous labyrinth of the kind found in confined fluids, block copolymers, active matter and vegetation patterns, which is a class III disordered hyperuniform state; under inertial dynamics in an expanding background it generates a cosmic web whose tidal skeleton matches that of gravity alone to within $0.03$ in every morphological class. In both limits the suppressed long-wavelength fluctuations are inherited from the initial condition rather than made by the dynamics: the large-scale exponent of the arrested state equals the primordial one, and gravity rescales the infrared spectrum by the linear growth factor to better than one per cent over a factor $1363$ of growth. The two sectors are continuously connected, and their distance is measurable: once the ordering modulation saturates, its mean-field back-reaction leaves the medium with a residual pressure proportional to $λ_0^2$ that suppresses the growth of the largest scales by a smooth factor and vanishes in the cold-matter limit $λ_0\\to0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11988",
  "author_total": 1,
  "authors": [
    {
      "name": "Fausto Martelli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/12bmp6pemy9er.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11988",
  "fulltext_url": null,
  "id": "12bmp6pemy9er",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11988",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7213183633",
  "pdf_url": "https://arxiv.org/pdf/2609.11988",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/12bmp6pemy9er.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.11988",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11988"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Disordered hyperuniform modulated phases and the cosmic web from one free energy",
  "title_text": "Disordered hyperuniform modulated phases and the cosmic web from one free energy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/12bmp6pemy9er",
  "venue": "arXiv",
  "versions": []
}