A review of the predictions of Einstein's Special Theory of Relativity (STR) shows that two of them, remote non-simultaneity and time dilation, are incompatible with each other. It is claimed thereby that two numbers, time differences for the same event that are measured by observers in different states of motion, always occur with a fixed ratio, but that one of them can be zero (simultaneous observation) without the other being so as well. It is impossible that both of these conditions can each be met in any given case, and this constitutes proof that the Lorentz transformation (LT), from which both effects are derived in STR, is not a physically valid set of space-time equations. It is further pointed out that a clock moving through space in the complete absence of unbalanced external forces, in accordance with Newton's Law of Inertia and the Law
of Causality, must be expected to have a constant rate. As a consequence, elapsed times Δt and Δt' measured by two such (inertial) clocks for the same event should always occur in a fixed ratio, as expressed by the following relation: Δt'=Δt/Q, where Q is a constant fully determined by the above ratio. It is shown that experiments with x-ray frequencies and circumnavigating atomic clocks are perfectly consistent with the above relation, accordingly referred to as the Universal Time-dilation Law (UTDL). Finally, it is demonstrated that there is another set of space-time equations that satisfies both of Einstein's postulates relativity and is also consistent with the above proportionality between elapsed times, one which, unlike the LT, is devoid of any
internal contradictions. This transformation clearly rules out the possibility of remote nonsimultaneity, and is consistent with the view of classical physicists that space and time are completely separate entities.