{
  "abstract": "We compute the primordial tensor power spectrum in standard loop quantum cosmology and in the modified models mLQC-I and mLQC-II, evolving the tensor perturbations across the bounce in the hybrid and dressed metric prescriptions with a Starobinsky potential. In mLQC-I, the emergent de Sitter contracting branch requires the use of dedicated initial states. We use de Sitter mode function in the dressed metric approach and a Hankel-function solution in the hybrid approach. For inflationary e-foldings $N_e = 60$ and $65$, the pivot-scale tensor-to-scalar ratio agrees with the value of standard inflation with this potential. The scale-dependent ratio $r(k)=\\mathcal{P}_T/\\mathcal{P}_S$ cancels effects common to the two sectors and separates features that are independent of the initial state from those that depend on it. It varies slowly in the scale-invariant regime and oscillates around $r_\\star$ at smaller $k$. The oscillations next to the scale-invariant regime do not depend on the adiabatic order, unlike the peaks and spikes at lower $k$. For a given initial state, the regularization dependence survives in the infrared, where long-wavelength modes retain a record of the bounce and of the pre-bounce branch. We propagate the normalized spectra to the CMB $B$-mode spectrum and discuss observational prospects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37790",
  "author_total": 2,
  "authors": [
    {
      "name": "Mah Noor Jamil"
    },
    {
      "name": "Parampreet Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dz7smfzx890sp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37790",
  "fulltext_url": null,
  "id": "dz7smfzx890sp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37790",
  "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",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.37790",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dz7smfzx890sp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.37790",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37790"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Primordial Gravitational Waves in Loop Quantum Cosmology: Regularization Ambiguities and Initial State Dependence",
  "title_text": "Primordial Gravitational Waves in Loop Quantum Cosmology: Regularization Ambiguities and Initial State Dependence",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/dz7smfzx890sp",
  "venue": "arXiv",
  "versions": []
}