The Paradoxical Case of Force-Acceleration Transformation in Relativity

Authors

  • A. Sfarti  387 Soda Hall, UC Berkeley

Keywords:

Lorentz Transformation, Relativistic Force, Acceleration

Abstract

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

References

  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.

Downloads

Published

2017-12-31

Issue

Section

Research Articles

How to Cite

[1]
A. Sfarti, " The Paradoxical Case of Force-Acceleration Transformation in Relativity, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 2, Issue 3, pp.185-186, May-June-2016.