Answering Laplace’s Problem

I discovered a thorough explanation addressing the issue raised by Laplace, in the book "Celestial Mechanics" in 1805. He had contended that it was impossible to sustain a stable orbit for a celestial body with a force transmitted at a finite speed. This part had been roughly guessed after Purcell's formula for electromagnetic fields appeared, but it was a part that could not be handled accurately with Purcell's formula, which could not handle acceleration. Therefore, the essential aspects of the phenomenon were completely inaccessible. I solved this problem by using Maxwelian gravity and converting Feynman's formula into a more practical form. $$\vec{E} = \frac{q}{4 \pi \varepsilon_0 r^2 \left( 1 + \frac{\dot{r}}{c} \right)^3} \left( \left( 1 - \frac{v^2}{c^2} + \frac{\vec{a} \cdot \vec{r}} {c^2} \right) \left( \hat{r} - \frac{\vec{v}}{c} \right) - \left( 1 + \frac{\dot{r}}{c} \right) \frac{r \vec{a}}{c^2} \right)$$ Consequently, I discovered that the force transmitted at a finite speed of light produces a subtle resistance component. The energy loss attributed to this resistance component consistently remains smaller than the loss incurred due to the wave resulting from force-induced acceleration, thereby being overshadowed by the greater loss. Given that the energy loss from wave loss energy due to general relativity is significantly smaller compared to the loss stemming from Maxwellian gravity, this serves as compelling evidence against the validity of general relativity : ---- Originally in English

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