On the relativistic velocity composition paradox and the Thomas rotation

  title={On the relativistic velocity composition paradox and the Thomas rotation},
  author={Costel - Iulian Mocanu},
  journal={Foundations of Physics Letters},
  • C. Mocanu
  • Published 1 October 1992
  • Physics
  • Foundations of Physics Letters
The non-commutativity and the non-associativity of the composition law of the non-colinear velocities lead to an apparent paradox, which in turn is solved by the Thomas rotation. A 3×3 parametric, unimodular and orthogonal matrix elaborated by Ungar is able to determine the Thomas rotation. However, the algebra involved in the derivation of the Thomas rotation matrix is overwhelming. The aim of this paper is to present a direct derivation of the Thomas angle as the angle between the composite… 

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