Novel Solution of Mercury Perihelion Shift

Abstract

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 $V(r)=-\frac{GMm}{r}+\frac{G^2{M}^2{m}^2}{2m{c}^2{r}^2}$. 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 $(\frac{\Delta \omega }{\omega }{)}_{th}\simeq 3.4\times 10^{-10}$ which should be compared to the recent observed value of $(\frac{\Delta \omega }{\omega }{)}_{exp}\simeq 4.5\times 10^{-10}$.

4 page, no figure, submitted to Phys. Rev. Lett

References in corpus (2)

• Quantum Gravity without General Relativity
• Physics of Leap Second

Cited by in corpus (1)

• Physics of Leap Second