The description of natural phenomena by observers in motion is a problem that many consider solved by Lorentz transformations, but that actually was left open. Consequences of my alternative "inertial" transforamtions are: (i) an explanation of the empirical data better than provided by the Theory of Special Relativity (TSR); (ii) the elimination of those features of the TSR giving rise to paradoxes thanks to the recovery of a privileged inertial frame in which the Lorentz ether is at rest. The example of the "clock paradox" is discussed and a complete resolution is obtained by giving an exhaustive unified description of all possible situations. Velocity (and nothing else) is thus seen to be responsible for the differential retardation effect.
