  An analysis of composite inertial motion (relativistic sum) within the
framework of special relativity leads to the conclusion that every
translational motion must be the symmetrically composite relativistic sum of a
finite number of quanta of velocity. It is shown that the resulting space-time
geometry is Gaussian and the four-vector calculus has its roots in the
complex-number algebra, furthermore, that Einstein's "relativity of
simultaneity" is based on a misinterpretation of the principle of relativity.
Among others predictions of the experimentally verified rise of the
interaction-radii of hadrons in high energetic collisions are derived. From the
theory also follows the equivalence of relativistically dilated time and
relativistic mass as well as the existence of a quantum of time (fundamental
length) and its quantitative value, to be found in good accord with experiment.
