A link between the bounds on relativistic velocities and areas of hyperbolic triangles

C. Criado, N. Alamo
2001 American Journal of Physics  
In this paper we show the mathematical equivalence between two well-known facts: the existence of an upper bound for the area in Lobachevskian geometry and the existence of a limit for relativistic velocities. The key point is that the space of relativistic velocities can be interpreted as a Lobachevskian space.
doi:10.1119/1.1323963 fatcat:6r7sejszwbhoxnoxxlqutm4yu4