Foundations of Physics

, Volume 33, Issue 8, pp 1237–1251

Euclidean Special Relativity

  • Alexander Gersten

DOI: 10.1023/A:1025631125442

Cite this article as:
Gersten, A. Foundations of Physics (2003) 33: 1237. doi:10.1023/A:1025631125442


New four coordinates are introduced which are related to the usual space-time coordinates. For these coordinates, the Euclidean four-dimensional length squared is equal to the interval squared of the Minkowski space. The Lorentz transformation, for the new coordinates, becomes an SO(4) rotation. New scalars (invariants) are derived. A second approach to the Lorentz transformation is presented. A mixed space is generated by interchanging the notion of time and proper time in inertial frames. Within this approach the Lorentz transformation is a 4-dimensional rotation in an Euclidean space, leading to new possibilities and applications.

special relativityEuclidean 4-space-timemixed spaceLorentz transformation

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Alexander Gersten
    • 1
  1. 1.Department of PhysicsBen-Gurion University of the NegevBeer-ShevaIsrael