If you start with the General Relativity factor = gR/c² and substitute g for half the centrifugal acceleration v²/R you arrive at the Special Relativity Lorentz transformation factor - gR/c² = v²/2R x R/c² = v²/2c² The Lorentz transformations original derivation is based on linear vector motions and the need for time dilation to reconcile the constancy of the speed of light c across different reference frames. As this v²/2c² factor provides a valid and correct adjustment to GPS satellite clock atomic half life rates whilst in orbit, one of these competing derivations is likely to be a representation of reality, but the other one must be a coincidental hoax.