相对论速度与双曲几何

The Relativized Velocity and Hyperbolic Geometry

本文试图将非欧几何之——双曲几何引入狭义相对论.结果表明,在一定的映射关系下,双曲坐标变换对应于相对论速度变换,双曲几何空间构成伪欧速度空间的等距浸入子空间.

The paper introduces the one of non- Euclidean geometry - hyperbolic geometry into special theory of relativity. With special relational expression,we prove that the coordinate alternate of hyperbolic geometry correspond to relativized velocity's alternate and the hyperbolic space is a part embedded equidistantly in pseudo -Euclidean space of velocity.