{
  "abstract": "Loop Quantum Cosmology (LQC) replaces the big bang singularity of the homogeneous universe by a bounce, usually described by the modified Friedmann equation $H^2=ρ(1-ρ/ρ_c)/(3M_p^2)$. We show that this background dynamics follows from a local cuscuton effective theory, whose scalar equation is a constraint rather than a wave equation. One way to establish this is to write the cuscuton in terms of an angular coordinate $θ$, identified with the LQC polymerization angle $2λb$. Its constraint gives $H\\propto\\sinθ$, while the Einstein constraint gives $ρ=ρ_c\\sin^2(θ/2)$, exactly reproducing the LQC bounce. To our knowledge, this is the first closed-form, local, generally covariant realization of the exact standard flat-FLRW LQC background dynamics for minimally coupled matter satisfying null energy condition, without introducing additional local dynamical degrees of freedom. A branchwise Legendre transformation establishes a canonical equivalence between the clock-gauge-fixed homogeneous mimetic system in the case of vanishing mimetic dust energy density and the cuscuton systems. It selects the constant-tension cuscuton coordinate $Θ=\\sinθ-θ$, while $θ$ retains its interpretation as the LQC polymerization angle. This equivalence does not establish agreement of the inhomogeneous theories or their perturbations. The angular action also admits an explicit branched $f(K)$ representation, where $K$ is the mean extrinsic curvature of spatial hypersurfaces. The construction is therefore an effective covariant representation of the LQC holonomy correction, not a derivation from full loop quantum gravity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35222",
  "author_total": 2,
  "authors": [
    {
      "name": "Niayesh Afshordi"
    },
    {
      "name": "Kristina Giesel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2sgkf0s04jb3q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35222",
  "fulltext_url": null,
  "id": "2sgkf0s04jb3q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35222",
  "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",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7214699868",
  "pdf_url": "https://arxiv.org/pdf/2609.35222",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2sgkf0s04jb3q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.35222",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35222"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A Cuscuton Representation of the Loop Quantum Cosmology Bounce",
  "title_text": "A Cuscuton Representation of the Loop Quantum Cosmology Bounce",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/2sgkf0s04jb3q",
  "venue": "arXiv",
  "versions": []
}