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A Novel Derivation of Relativistic Energy-Momentum Relation

11 October 2025, Version 2
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

The relativistic energy-momentum relation is a cornerstone of modern physics, linking the total energy (E) of a particle to its rest mass (m_0) and relativistic momentum (P). Also, Einstein's special theory of relativity [1-4] revolutionized our understanding of space, time, and the fundamental relationship between mass and energy. For better understanding, the author of this article presents a thorough and algebraically sound novel derivation for Paul Dirac’s energy-momentum equation.

Keywords

Lorentz factor
relativistic momentum
special relativity
time dilation

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Version History

Oct 11, 2025 Version 2

Version Notes

The new version provides a thorough and algebraically sound alternative derivation for Dirac’s energy-momentum relation.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2025-nfm59-v2
D O I: 10.33774/coe-2025-nfm59-v2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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