{
  "abstract": "The law of conservation of energy can be stated: Energy can neither be created or destroyed but only converted to from one form to another. Laboratory experiments demonstrating that no energy is lost or gained during a conversion have been rare. Interestingly, there is a close connection between energy conservation, Lorentz violation and the possibility of a second dimension of time. We explore this connection within a model of Lorentz invariance that incorporates a second dimension of time. The model's Lorentz transformation matrix reduces to the well-known one-dimension of time version in the limit of a parameter that defines the relative size of the extra dimension. If the parameter is finite, one might misinterpret the energy equivalence of mass or observe a deviation from the accepted time dilation formalism. We explore different experimental limits on this new parameter including Lorentz violating parameters from the Standard-Model Extension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01626",
  "author_total": 3,
  "authors": [
    {
      "name": "S. R. Elliott"
    },
    {
      "name": "R. Massarczyk"
    },
    {
      "name": "S. Zahir"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d4327y6tsb9ss.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01626",
  "fulltext_url": null,
  "id": "d4327y6tsb9ss",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01626",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.gen-ph"
    ],
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7207545363",
  "pdf_url": "https://arxiv.org/pdf/2609.01626",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d4327y6tsb9ss.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.01626",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01626"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Noncommutative and Quantum Gravity Theories",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Energy Conservation, Lorentz Invariance and a Second Dimension of Time",
  "title_text": "Energy Conservation, Lorentz Invariance and a Second Dimension of Time",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/d4327y6tsb9ss",
  "venue": "arXiv",
  "versions": []
}