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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
A. Sfarti
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
URL : http://ijsrst.com/IJSRST162362