{
  "abstract": "Extended electrodynamics keeps the scalar combination $C=\\nabla\\cdot\\mathbf{A}+μ_0\\varepsilon_0\\partialΦ/\\partial t$ as a dynamical field rather than imposing the Lorenz gauge condition, and this scalar adds a scalar-longitudinal (SL) family to the TE, TM and TEM modes. With $C=0$ on the wall of a closed perfectly conducting waveguide, the classical modes are unchanged. The SL modes have $\\mathbf{B}=0$ and an electric field along $\\nabla C$, and their cutoffs are the Dirichlet eigenvalues of the cross-section, the same as the TM cutoffs, with no coaxial TEM counterpart. Charge-conserving sources with zero scalar data do not excite them. Matching at a conductor described by its constitutive laws gives $\\partial C/\\partial n=0$ instead and couples the scalar-bearing modes to the Maxwell field. The results belong to the $C=0$ problem, the condition that separates the sectors and the one divergence cleaning uses, with benchmarks for the rectangular, circular cylinder, coaxial and L-shaped guides.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28916",
  "author_total": 5,
  "authors": [
    {
      "name": "Natan Rentzber"
    },
    {
      "name": "Jacob Howard"
    },
    {
      "name": "Fernando Minotti"
    },
    {
      "name": "Anatoliy Pinchuk"
    },
    {
      "name": "Giovanni Modanese"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c3sj2mv7cey9t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28916",
  "fulltext_url": null,
  "id": "c3sj2mv7cey9t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28916",
  "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",
      "physics.class-ph"
    ],
    [
      "openalex",
      "3107|Quantum and Classical Electrodynamics"
    ]
  ],
  "openalex": "W7223229542",
  "pdf_url": "https://arxiv.org/pdf/2610.28916",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c3sj2mv7cey9t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.28916",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28916"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum and Classical Electrodynamics",
      "subfield": "amo"
    }
  ],
  "title": "Scalar-Longitudinal Modes of Extended Electrodynamics in Perfectly Conducting Waveguides and Divergence Cleaning Interpretation",
  "title_text": "Scalar-Longitudinal Modes of Extended Electrodynamics in Perfectly Conducting Waveguides and Divergence Cleaning Interpretation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/c3sj2mv7cey9t",
  "venue": "arXiv",
  "versions": []
}