ABOUT THE TIME OF THE CLOCKS OF SATELLITE NAVIGATION SYSTEMS

The paper presents a seemingly simple problem about clocks moving towards each other. The speed of the relative movement of the clock and the time that will pass until the first clock meets is known. Using the special theory of relativity (SRT) using a well-known formula, you need to determine the time that the second clock will show at the moment of meeting. The problem is that solving the problem using SRT leads to three contradictions that cannot be resolved within the framework of formal logic. The first contradiction: one event occurs simultaneously at two completely different points in time using the same clock. The second contradiction: the same clock at the same moment in time (the moment of occurrence of one event) shows two completely different times. Third contradiction: calculations of the same physical quantity in different ways with the same initial data lead to completely different values that are absolutely incompatible with each other.

The resolution of these contradictions is urgently needed in the technical sciences, since the so-called relativistic “time dilation” of high-precision clocks on navigation satellites of satellite navigation systems during the day is thousands of times higher than the required accuracy of the state primary time standard.

Graphic annotation

The contradiction that the “relativistic time dilation” of SRT leads to: at the same time the same clock shows two completely different values of time.