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Volume 12: Pages 242-258, 1999
Geometrical Properties of Relativistic Rapidity
Room 2‐401, 205th Building, Hui Xin Li, Chao Yang Qu, Beijing, 100029 P.R. China
This paper states an idea only that relativistic rapidity is a vector of hyperbolic space. This idea is derived from and verified by relativity, and provides a kinematic basis for the development of the geometrical physics of relativity. Hyperbolic vectors can be treated with hyperbolic geometry, which is more convenient to operate, and lessens the opportunity for making errors. By the application of this idea, a further study of the equation of Lorentz transformations is made in this paper.
Keywords: rapidity, hyperbolic vector, hyperbolic geometry
Received: May 5, 1998; Published online: December 15, 2008