论文标题
时空中的刚性和并行性
Rigidity and Parallelism in the spacetime
论文作者
论文摘要
已经研究了线性分流转换对时空中平行线的影响。 Fock-Lorentz的转换将一条线映射到一条线，从中可以从该线路中获得Fock-Lorentz转换中速度的组合规则。刚性定义为在转换下保持并行性的后果。 Fock-Lorentz的转换不能保留刚性，这会带来一些新的结果，例如随着时间的推移而增长的距离。同样，可以证明，事件的时间坐标将在转换的坐标中彼此接近。
The effect of the linear-fractional transformations on the parallel lines in the spacetime has been studied. Fock-Lorentz transformations maps a line to a line, from which one can obtain the combinations rule for the velocities in the Fock-Lorentz transformations. Rigidity is defined as a consequences of holding parallelism under the transformations. The Fock-Lorentz transformations do not preserve rigidity, which leads to some novel results such as growing distances alongside with advancing time. Also, it is shown that the time coordinates of events will come closer to each other in the transformed coordinates by going back in time
