For dynamic systems devoid of forces, Einstein?s General Theory of Relativity reduces to his Restricted or Special Theory of Relativity. For less idealistic systems tolerating weak forces and mild rotation rates, the general theory reduces to a version closely akin to, but less restricted than, his Special Theory of Relativity. The analysis reveals that in this more realistic universe, time cannot be closed around spatial circuits.
A unicorn may be defined as a horse plus a horn. That horses abound, however, does not in itself establish the existence of unicorns. A Special Relativistic system may be defined as one that exhibits relativistic timekeeping: motion-sensitive time dilation plus position-sensitive time offset. That time dilation effects abound, however, does not in itself establish the existence of Special Relativistic systems.
Simultaneous events are spatially separated events connected by an infinite velocity signal. Special Relativity asserts that what appears to be an infinite velocity signal in one frame is observed as having a finite velocity in another reference frame. In this paper, we trace the cause of the non-simultaneity to the position-sensitive term in the Lorentz time transform, and show that this term is not supportable by properly designed experiments, by the construct of Lorentz equations, and by the established behavior of satellite clocks.