{
  "abstract": "This paper presents a rigorous theoretical examination of kinetic energy across classical and relativistic domains. While Newtonian mechanics model’s kinetic energy as a straightforward function of mass and velocity squared, special relativity introduces Lorentz transformations that account for mass-energy equivalence and velocity limits near the speed of light. Utilizing a binomial series expansion of the Lorentz factor, this study demonstrates that Newtonian kinetic energy represents a valid first-order approximation at low velocities. However, as velocity approaches the speed of light, the higher-order relativistic terms become dominant, creating a substantial divergence between classical predictions and physical reality. The findings highlight the boundaries of classical mechanics and reinforce the necessity of relativistic models in high-energy physics applications",
  "abstract_shown": true,
  "affiliations": [
    "Indian Institute of Technology Kharagpur"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Chinnaraji Annamalai",
      "orcid": "0000-0002-0992-2584"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4zjwc10r7tx2e.bib",
  "cited_by": 10,
  "doi": "10.33774/coe-2026-vzlr0",
  "fulltext_url": null,
  "id": "4zjwc10r7tx2e",
  "issns": [],
  "landing_url": "https://doi.org/10.33774/coe-2026-vzlr0",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
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  "openalex": "W7172000537",
  "pdf_url": "https://www.cambridge.org/engage/api-gateway/coe/assets/orp/resource/item/6a69fca84770e67d925a16f0/original/classical-approximations-vs-relativistic-realities-a-theoretical-analysis-of-kinetic-energy.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4zjwc10r7tx2e.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:02Z",
      "native_id": "W7172000537",
      "source": "openalex",
      "url": "https://doi.org/10.33774/coe-2026-vzlr0"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Relativity and Gravitational Theory",
      "subfield": "general"
    }
  ],
  "title": "Classical Approximations vs. Relativistic Realities: A Theoretical Analysis of Kinetic Energy",
  "title_text": "Classical Approximations vs. Relativistic Realities: A Theoretical Analysis of Kinetic Energy",
  "type": "preprint",
  "updated_at": "2026-11-06T13:20:25Z",
  "url": "https://research.draconitic.com/paper/4zjwc10r7tx2e",
  "venue": null,
  "versions": []
}