Generalized Klein-Gordon equation and the Mach principle

It is shown that estimates of anisotropy of the inertial mass $\Delta m/m<10^{-22}$ and $\Delta m/m<5\cdot 10^{-23}$, which were obtained in experiments testing the Mach prinriple, are incorrect. A generalized Klein-Gordon equation is developed using a relativistic theory of locally anisotropic space-time which is consistent with the Mach principle. This equation makes it possible to take into account correctly the effect of anisotropy on the nuclear potential.