The Paradoxical Case of Force-Acceleration Transformation in Relativity

Authors(1) :-A. Sfarti

During one of my recent classes, an interesting question, never heard before, was posed by one of the students: “How come that the relativistic acceleration transformation transforms zero acceleration into zero acceleration but transforms zero force into non-zero force?” In the current note I will explain this apparent paradox. The proof is not trivial and, to my best knowledge, cannot be found in the literature. The note is intended for undergraduate students and for instructors who teach special relativity, especially the dynamics chapters.
PACS: 03.30.+p

Authors and Affiliations

A. Sfarti
387 Soda Hall, UC Berkeley

Lorentz Transformation, Relativistic Force, Acceleration

  1. R. Tolman, “Relativity, Thermodynamics and Cosmology”, Dover Publications Inc., (1987) pp. 27, 46
  2. O. Moller, “The Theory of Relativity”, Oxford at the Clarendon Press, 1962
  3. W.G.V. Rosser, “An Introduction to the Theory of Relativity”,(Butterworth), 1967.

Publication Details

Published in : Volume 2 | Issue 3 | May-June 2016
Date of Publication : 2017-12-31
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 185-186
Manuscript Number : IJSRST162362
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

A. Sfarti, " The Paradoxical Case of Force-Acceleration Transformation in Relativity", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 2, Issue 3, pp.185-186, May-June-2016.
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