Relativity and GPS
In the theory of relativity Einstein said; (a minor attraction of the gravitational field, time passes more quickly).
The Einstein formula (1915) for the anomaly in the advance of the perihelion of the planets based on relativity was;
The GPS, to properly locate cars, is necessary to synchronize clocks of satellites with the watches we have on Earth (to measure the time that it takes the signal to reach Earth). However, despite use, on both sides, very precise atomic clocks; satellites, relativity advance clocks, concerning those who are here.
Controversy
The German physicist Paul Gerber 18 before that Einstein introduced the same formula mathematics to explain the perihelion of mercury without the theory of relativity by Albert Einstein in 1915;
This theorized that the force between two masses should be corrected by a term that depended on the speed at which its are moved.
And Einstein wrote in 1920:
“ | Mr. Gehrcke wants to make us believe that the Perihelion shift of mercury can be explained without the theory of relativity. So there are two possibilities. Either you invent special interplanetary masses. [...] Or you rely on a work by Gerber, who already gave the right formula for the Perihelion shift of mercury before me. The experts are not only in agreement that Gerber’s derivation is wrong through and through, but the formula cannot be obtained as a consequence of the main assumption made by Gerber. Mr. Gerber’s work is therefore completely useless, an unsuccessful and erroneous theoretical attempt. I maintain that the theory of general relativity has provided the first real explanation of the perihelion motion of Mercury. I have not mentioned the work by Gerber originally, because I did not know it when I wrote my work on the perihelion motion of Mercury; even if I had been aware of it, I would not have had any reason to mention it. https://en.wikipedia.org/wiki/Paul_Gerber |
Conclusión;
The GPS according to this theory, would say that the differences between the force that have the clocks on the satellites that are in orbital stations is different to the force that those watches that we have on earth, and this difference should be corrected by the difference between the speeds its move.
It can be
concluded that with a mathematical truth, can be explained in different way a same physical phenomenon.
So we can
say, that when you have a mathematical truth in two different theories, is must
believe in the theory that first originated the mathematical formula.
Bibliography:
https://en.wikipedia.org/wiki/Paul_Gerber
http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps.html
