Inertial Potential from the Equivalence Principle

This paper presents an idea to replace special relativity by general relativity applied to an inertial field. The equivalence principle allows us to define an inertial potential equivalent to the gravitational potential. The inertial potential will be further defined using kinetic energy, then the inertial potential will explain the kinematic effect of Hafele-Keating experiment (the experiment where atomic clocks flew around the Earth).From this study, one finding would be that there is a difference between an atomic clock and a photon clock. The photon clock is sensitive to length contraction and time dilation, while only the atomic clock would be sensitive to time-dilation. Only an atomic clock would observe a time difference such as in Hafele-Keating experiment.Also a serious problem has appeared, independent to replacing special relativity by general relativity. The time reference chosen by Hafele-Keating (above the North Pole) is correct but unjustified. There is something local about time dilation, as the rotation of the Earth around the Sun has to be ignored or this would give different results. A previous study reached a similar conclusion. If locality seems crucial, this paper presents the problem but offers no explanation why it should work that way. This question probably has to be solved to reach a better understanding of time.