{
  "abstract": "Polymer quantization program applied in Loop Quantum Gravity/Cosmology leads to nonseparable Hilbert spaces. Commonly, one sidesteps this problem by singling out and working with a separable superselection sector. This is however often no longer accessible in more involved models beyond isotropic ones. In an alternative approach one builds a separable Hilbert space as an integral over all available sectors. Here we test the dynamics following from the latter on the example of a flat isotropic Universe admitting negative cosmological constant and a massless scalar field. There, numerical evolution of (initially) semiclassical states shows that there is no relevant difference in their long term semiclassicality properties in comparison to those in a single sector approach. Further, the older (problem-specific) numerical methods are compared against an application of more common and more efficient standard tools (eigen library).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.02798",
  "author_total": 2,
  "authors": [
    {
      "name": "Janek Kozicki"
    },
    {
      "name": "Tomasz Pawłowski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86pqaj86j3jmx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.02798",
  "fulltext_url": null,
  "id": "86pqaj86j3jmx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.02798",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.02798",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86pqaj86j3jmx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2608.02798",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.02798"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Integral Hilbert spaces and the dynamics of loop quantum cosmos",
  "title_text": "Integral Hilbert spaces and the dynamics of loop quantum cosmos",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/86pqaj86j3jmx",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/37d1-65t2",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}