The Crash of General Relativity: GeneralRelativistic Time Dilation Contradicts Gravitational Time Slowing ExperimentsV.N. Strel’tsov <strlve@sunhe.jinr.ru> Abstract: It is shown that generalrelativistic (like specialrelativistic) time is larger than the proper one (gravitational time dilation). This conclusion contradicts the experiments on the gravitation time slowing down.
Special Theory of Relativity (STR) Recall that time t plays the role of the fourth coordinate of the united Minkowski spacetime. As a result, according to STR, the duration of physical processes depends on movement velocity v. This is expressed by the known equation of relativistic time dilation (increase) dt=dτγ=dτ(1v^{2}/c^{2})^{1/2 }. (1) Here the relativistic (coordinate) time figures on the left, and the classical (proper) time on the right. In the nonrelativistic (Galilean) approximation of small velocities dt > dτ, we have to deal with the proper or invariant time (independent of velocity). One should pay attention to a poor expression: "time dilation." As known, the change of time rate is conditioned by changing the time standard. But in the given case, dt and dτ are measured in the same seconds. The increase of the lifetime of moving elementary particles (relativistic time is larger than the proper one) is the known consequence of eq.(1).
General Theory of Relativity (GTR) Let us consider now the generalrelativistic relationship^{1} dt_{S}=dτ(12Ф/c^{2}v^{2}/c^{2})^{1/2} (2) corresponding to eq.(1) and based on Schwarzschild’s solution. As seen, it indeed transits to (1) in the case Ф=0, and we have a pure gravitational time dilation (increase) in the case v=0. Thus, the stronger a gravitational field the larger the duration of physical processes (the generalrelativistic time is larger than the proper one). For example, the reading of an airplane clock (t^{th}) in the known experiments on the investigation of the gravity influence on the clock rate^{24} must be smaller than the corresponding reading of a clock on the ground (t^{g}): t^{h}< t^{g }_{ }. (3) However, this experiment gives an opposite result: t^{h}_{ex }>_{ } t^{g}_{ex} . (4) Emphasize that the observed change of atomic clock rate here is conditioned by its own construction. Thus, the previous conclusion^{5} of the failure of GTR is confirmed experimentally. Conclusion: Specialrelativistic time dilation corroborates experiment, but generalrelativistic time dilation is at variance with the facts. © Journal of Theoretics, Inc. 2001 
