Il Nuovo Cimento B (1971-1996)

, Volume 111, Issue 11, pp 1299–1313

Four-dimensional symmetry of taiji relativity and coordinate transformations based on a weaker postulate for the speed of light. - I

  • Leonardo Hsu
  • Jong-Ping Hsu
  • Dominik A. Schneble
Article

Summary

The power of the four-dimensional symmetry of taiji relativity is demonstrated through an analysis of Edwards’ transformation based on the weaker postulate that only the two-way speed of light is a universal constant. His transformation, involving Reichenbach’s time, is shown to be inconsistent with Lorentz-group properties and the relativistic energy-momentum expression for particles. However, using the symmetry of taiji relativity as a guiding principle, we can obtain a new four-dimensional transformation which does not have these difficulties. We show that Reichenbach’s concept of time is compatible with the four-dimensional symmetry of physical laws. No known experiments can distinguish physical laws in this four-dimensional formalism («extended relativity») from those in special relativity.

PACS

03.30 Special relativity 

PACS

11.30.Cp Lorentz and Poincare invariance 

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Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • Leonardo Hsu
    • 1
  • Jong-Ping Hsu
    • 2
  • Dominik A. Schneble
    • 2
  1. 1.Physics DepartmentUniversity of California at BerkeleyBerkeleyUSA
  2. 2.Physics DepartmentUniversity of Massachusetts DartmouthNorth DartmouthUSA

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