水星近日点位移的新解法
Novel Solution of Mercury Perihelion Shift
摘要：
提出了一种新的解决方案，水星近日点提前移动的新的重力模型。结果表明，Dirac方程与引力势的非相对论约化产生了新的引力势$\displaystyle{V(r)=-{GMm\over r}+{G^2M^2m^2\over 2mc^2r^2}}$ .该势可以解释水星近日点的前移，而不需要任何自由参数。而且，它可以引起GPS卫星的$ω-$偏移，其中提前偏移量为$({Δω\over ω})_{th} \simeq 3.4\times 10^{-10}$，其应该与最近观测到的$({Δω\over ω})_{exp} \simeq 4.5\times 10^{-10}$值进行比较。
英文摘要：
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 $\displaystyle{V(r)=-{GMm\over r}+{G^2M^2m^2\over 2mc^2r^2}}$. This potential can explain the Mercury perihelion advance shift without any free parameters. Also, it can give rise to the $ω-$shift of the GPS satellite where the advance shift amounts to $({Δω\over ω})_{th} \simeq 3.4\times 10^{-10}$ which should be compared to the recent observed value of $({Δω\over ω})_{exp} \simeq 4.5\times 10^{-10}$.
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