Novel Solution of Mercury Perihelion Shift

We present a novel solution of the Mercury perihelion advance shift in the new gravity model. It is found that the non-relativistic reduction of the Dirac equation with the gravitational potential produces the new gravitational potential of ${\displaystyle V(r)=-\frac{GMm}{r}+\frac{G^2{M}^2{m}^2}{2m{c}^2{r}^2}}$. This potential can explain the Mercury perihelion advance shift without any free parameters. Also, it can give rise to the $\omega -$shift of the GPS satellite where the advance shift amounts to $({\Delta \omega\over \omega}){th} \simeq 3.4\times 10^{-10}$ which should be compared to the recent observed value of $({\Delta \omega\over \omega}){exp} \simeq 4.5\times 10^{-10}$.