{
  "abstract": "The work presents a canonical Hamiltonian system in a classical scenario and further extend the analysis to a quantum mechanical framework for a homogeneous and isotropic universe governed by Bumblebee gravity, in which spontaneous Lorentz symmetry breaking is triggered by a vector field acquiring a vacuum expectation value (VEV). Starting from the full four-dimensional covariant action, the derivation has been carried out for the one-dimensional mini-superspace Lagrangian density for a flat Friedmann-Lemaître-Robertson-Walker (FLRW) background with a purely temporal bumblebee field configuration. Further, the work focuses on to construct the classical Hamiltonian system through a canonical Legendre transformation, identifying the lapse function $N(t)$ as a Lagrange multiplier enforcing a primary Hamiltonian constraint. Apart form that, the conservation of phase-space volume via Liouville's theorem, locate and classify the critical points of the resulting dynamical system, and examine the stability of the Lorentz-violating vacuum has been carried to test the classical Hamiltonian system in the work. Furthermore, the modified first and second Friedmann equations and discuss the resulting time-dependence of the effective gravitational coupling, illustrating the results with numerical phase-space has been discussed in this work. Finally, the work extended to construct the Wheeler-DeWitt equation through the canonical quantization and obtain the approximate solutions in the deep-quantum ($a\\to0$) and near-vacuum regimes for it.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18542",
  "author_total": 1,
  "authors": [
    {
      "name": "Pranjal Sarmah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94vhvekrsett3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18542",
  "fulltext_url": null,
  "id": "94vhvekrsett3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18542",
  "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",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7221811182",
  "pdf_url": "https://arxiv.org/pdf/2610.18542",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94vhvekrsett3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.18542",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18542"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Mini-Superspace Hamiltonian Dynamics and Canonical Quantization of Bumblebee Cosmology",
  "title_text": "Mini-Superspace Hamiltonian Dynamics and Canonical Quantization of Bumblebee Cosmology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/94vhvekrsett3",
  "venue": "arXiv",
  "versions": []
}