{
  "abstract": "We find a robust scenario for the emergence of the Golden Ratio (GR) dynamical universality class, characterized by the dynamical exponent $z \\equiv φ=\\frac{1}{2}(1+\\sqrt{5})$. Previously, its emergence required fine-tuning of system parameters. Here, the GR universality class appears generically in a wide class of Markov processes as a consequence of a global, circulant symmetry of the flux Jacobian. This symmetry leads to GR universality in systems where the total number of conservation laws is odd and larger than three. We introduce a multilane exclusion process with Bernoulli stationary measure as a minimal, parameter-free model, which features GR universality for all conserved modes, most of which are doubly degenerate. Our predictions, based on mode-coupling theory generalized to treat degenerate conserved modes, are corroborated by large-scale Monte Carlo simulations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13842",
  "author_total": 3,
  "authors": [
    {
      "name": "Luka Paljk"
    },
    {
      "name": "Johannes Schmidt"
    },
    {
      "name": "Vladislav Popkov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bye6ad18tsxcp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13842",
  "fulltext_url": null,
  "id": "bye6ad18tsxcp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13842",
  "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"
    ],
    [
      "arxiv",
      "nlin.CG"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7221544147",
  "pdf_url": "https://arxiv.org/pdf/2610.13842",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bye6ad18tsxcp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13842",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13842"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Robust Golden Ratio universality as a consequence of a circulant symmetry",
  "title_text": "Robust Golden Ratio universality as a consequence of a circulant symmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/bye6ad18tsxcp",
  "venue": "arXiv",
  "versions": []
}