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PreprintCC BY

Derivation and Classical Limit of the Relativistic Lorentz Factor

  • Chinnaraji Annamalai1
  1. 1Indian Institute of Technology Kharagpur
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Abstract

The Lorentz factor plays a central role in Special Relativity, describing space dilation, time contraction, and relativistic momentum-energy relations. In the regime where velocities are significantly smaller than the speed of light, the classical equations of Newtonian mechanics must be recovered. This note presents a detailed, step-by-step derivation of the low-velocity binomial approximation for the Lorentz factor and demonstrates how this approximation bridges relativistic dynamics with classical kinetic energy.

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Cite

BibTeXRIS
BibTeX
@misc{annamalai2026derivation,
  title = {{Derivation and Classical Limit of the Relativistic Lorentz Factor}},
  author = {Chinnaraji Annamalai},
  year = {2026},
  month = jul,
  doi = {10.33774/coe-2026-8f4bz},
  url = {https://doi.org/10.33774/coe-2026-8f4bz},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - Derivation and Classical Limit of the Relativistic Lorentz Factor
AU  - Chinnaraji Annamalai
PY  - 2026
DA  - 2026/07/24
DO  - 10.33774/coe-2026-8f4bz
UR  - https://doi.org/10.33774/coe-2026-8f4bz
AB  - The Lorentz factor plays a central role in Special Relativity, describing space dilation, time contraction, and relativistic momentum-energy relations. In the regime where velocities are significantly smaller than the speed of light, the classical equations of Newtonian mechanics must be recovered. This note presents a detailed, step-by-step derivation of the low-velocity binomial approximation for the Lorentz factor and demonstrates how this approximation bridges relativistic dynamics with classical kinetic energy.
ER  -