A physical interpretation of the Lobachevsky parallel lines and a new inertial system coordinate transformation

Abstract:
A processes of the particle and light beams propagation synchronized by Hyigens principle have been found as a physical nature for the Lobachevsky parallel lines in the velocity space. The first obvious consequences of the established correspondence, including: simultaneity, proper time, inertial system coordinate transformation, invariant values, relativistic velocity summation law and relativistic effects are discussed and presented in this paper.