{
  "abstract": "We derive the renormalized Casimir energy of a free massive real scalar field on the rectangular compactification \\(\\mathbb{R}^{1,r}\\times T^p\\) in the presence of a constant CPT-even aether-like Lorentz-violating background. Allowing the spatial part of the background vector to have an arbitrary orientation relative to the compactification lattice, we characterize the resulting orientation-dependent geometric response of the vacuum. Integrating out the noncompact momenta reduces the effective spatial kinetic matrix to its Schur complement, and Poisson resummation yields a closed, exponentially convergent Bessel-function lattice sum within the stability domain. The resulting expression separates an orientation-independent kinetic normalization, \\([1+λu_μu^μ]^{-1/2}\\), from an orientation-dependent deformation of the image-lattice metric. Coordinate-aligned configurations are recovered as special cases, and the exact massless limit and the compact-direction pressures are obtained. For a two-dimensional compact subspace, we explicitly analyze the angular dependence of the vacuum energy and derive the associated generalized Casimir torque. These results establish how the relative orientation between a Lorentz-violating background and an anisotropic compactification lattice enters the renormalized vacuum energy and its directional response.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20745",
  "author_total": 2,
  "authors": [
    {
      "name": "Zohreh Ashkipoor Gofreh"
    },
    {
      "name": "Reza Moazzemi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ajpzwbfbp0mpk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20745",
  "fulltext_url": null,
  "id": "ajpzwbfbp0mpk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20745",
  "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",
      "hep-th"
    ],
    [
      "openalex",
      "3107|Quantum Electrodynamics and Casimir Effect"
    ]
  ],
  "openalex": "W7222617859",
  "pdf_url": "https://arxiv.org/pdf/2610.20745",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ajpzwbfbp0mpk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20745",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20745"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Orientation-Dependent Casimir Energy and Generalized Torque in Lorentz-Violating Rectangular Compactifications",
  "title_text": "Orientation-Dependent Casimir Energy and Generalized Torque in Lorentz-Violating Rectangular Compactifications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/ajpzwbfbp0mpk",
  "venue": "arXiv",
  "versions": []
}