{
  "abstract": "It is shown in this work that in spacetimes of maximal proper acceleration there are situations where a particle decelerates and simultaneously increases its kinetic energy. To illustrate the effect, a classical $1$-dimensional electric cavity-like scheme is discussed. The gain in kinetic energy by deceleration suggests an equivalence between velocity and acceleration from the energetic point of view. Such an equivalence is stated in a form resembling Born reciprocity principle but formulated in the framework of higher order jet spacetime geometry. We also show the existence in the theory of a dynamical superluminal sector for point particles with positive mass and characterized by superluminal speed and a proper acceleration larger than the maximal proper acceleration. Therefore, the speed of light and the maximal proper acceleration become only {\\it separation conditions} at the classical level of the two dynamical sectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Proc. R. Soc. A (2026) 482 (2347): 20260136",
  "arxiv": "2610.12510",
  "author_total": 1,
  "authors": [
    {
      "name": "Ricardo Gallego Torromé"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3zgg4x77hqbn1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12510",
  "fulltext_url": null,
  "id": "3zgg4x77hqbn1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12510",
  "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"
    ],
    [
      "arxiv",
      "physics.gen-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.12510",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3zgg4x77hqbn1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.12510",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12510"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "On the notion of kinetic energy in a spacetime of maximal proper acceleration",
  "title_text": "On the notion of kinetic energy in a spacetime of maximal proper acceleration",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/3zgg4x77hqbn1",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1098/rspa.2026.0136",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}