{
  "abstract": "We investigate cosmological diffusion models in unimodular gravity within a dynamical systems reconstruction framework. By treating the logarithmic slope of the diffusion sector as an invertible dynamical variable, the diffusion function can be systematically reconstructed from the phase-space structure of the cosmological evolution. Under these conditions, we determine the physically admissible fixed points of the system, identifying novel matter--diffusion scaling solutions associated with power-law diffusion sectors, as well as purely diffusion-dominated configurations capable of driving late-time accelerated expansion without requiring an explicit cosmological constant term. The local behavior around the fixed points is then extended to the full cosmological evolution, providing a framework to explore the global implications of diffusion cosmologies. Beyond the asymptotic fixed-point structure, we further develop a reconstruction formalism based on the dynamical evolution of the diffusion slope, allowing for trajectories interpolating between different diffusion regimes during the cosmic history. Our results establish a systematic framework for constructing and classifying viable diffusion cosmologies in unimodular gravity directly from the phase-space dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00201",
  "author_total": 3,
  "authors": [
    {
      "name": "Gabriel Gómez"
    },
    {
      "name": "Guillermo Palma"
    },
    {
      "name": "Norman Cruz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fpexnqfb252a5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00201",
  "fulltext_url": null,
  "id": "fpexnqfb252a5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00201",
  "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",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.00201",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fpexnqfb252a5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00201",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00201"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Unimodular Gravity with Arbitrary Diffusion Function: A Dynamical System Reconstruction Approach",
  "title_text": "Unimodular Gravity with Arbitrary Diffusion Function: A Dynamical System Reconstruction Approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/fpexnqfb252a5",
  "venue": "arXiv",
  "versions": []
}