Equations of geodesic deviation and properties of tidal forces in the Kerr metric

In the paper the work of the tidal forces that arise when the relative deviation of the protons on distance of the order of the Compton wavelength near the horizon of Kerr black hole is considered. For ease of calculation the assumption is made that the proton has only a radial component of the velocity. It is shown that the work of the tidal forces at speeds close to the speed of light sharply increases with Lorentz factor and it can obtain very high energy of the Grand Unification order.