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Relativity based on symmetry

  • Yaakov Friedman
  • Tzvi Scarr
Part of the Progress in Mathematical Physics book series (PMP, volume 40)

Abstract

In this chapter, we will derive the Lorentz transformations without assuming the constancy of the speed of light. We will use only the principle of special relativity and the symmetry associated with it. We will see that this principle allows only Galilean or Lorentz space-time transformations between two inertial systems. In the case of the Lorentz transformations, we obtain the conservation of an interval and a certain speed. From known experiments, this speed iscthe speed of light in a vacuum.

Keywords

Relative Velocity Special Relativity Relativistic Dynamic Inertial System Admissible Velocity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2005

Authors and Affiliations

  • Yaakov Friedman
    • 1
  • Tzvi Scarr
    • 2
  1. 1.Department of MathematicsJerusalem College of TechnologyJerusalemIsrael
  2. 2.Department of MathematicsJerusalem College of TechnologyJerusalemIsrael

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