Cosmological Principle Explanation with the Special Relativity

Using special relativity, I succeeded in mathematically proving the cosmological principles regarding the uniformity and isotropy of the universe. The particle density distribution, centered on itself in all primordial inertial systems in this universe, was calculated as $$\frac{1}{8} \left( \frac{r}{1 - r} \right)^2$$ in polar coordinates. ---- Originally in English

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Relativistic Consistency of Electromagnetic Force

According to special relativity and electromagnetism, the electromagnetic force, also known as the Lorentz force \[ \vec{F} = q (\vec{E} + \vec{v} \times \vec{B})\], was presumed to take the same form in every inertial frame. However, actual theoretical validation has not been conducted until now. Hence, I undertook this task independently, introducing a new form of the Heaviside-Feynman formula. \[\vec{E} = \frac{q}{4 \pi \varepsilon_0 r^2 \left( 1 + \frac{\dot{r}}{c} \right)^3} \left( \left( 1 - \frac{v^2}{c^2} + \frac{\vec{a} \cdot \vec{r}}{c^2} \right) \left( \hat{r} - \frac{\vec{v}}{c} \right) - \left( 1 + \frac{\dot{r}}{c} \right) \frac{r \vec{a}}{c^2} \right)\] ---- Originally in English

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Mercury’s Perihelion Advancement Due to Special Relativistic Effects

I discovered that the cause of Mercury's perihelion advance could be explained by the sum of Maxwellian gravity and several special relativity factors. The simulation results, taking into account all these factors, were demonstrated to align precisely with the outcomes predicted by the traditional Gerber-Einstein formula. ---- Originally in English

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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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