Einstein Probabilistic Units/Compton Gravity

Compton Gravity
Based on Dimension Balancing we know gravitational forces can be expressed in terms of frequency squared, Poisson-Newton equation for gravity:


 * $$ \Delta\;\phi=\Delta\frac{m^2}{s^2}=4\pi G \rho=\frac{1}{s^2}=D_T^{-2} $$

In addition we know the gravitational coupling constant for two electrons can also be expressed in terms of Compton frequency squared and Planck frequency squared


 * $$\alpha_{G_e}=\frac{G\;m_e^2}{\hbar\;c}=\frac{\nu^2_{C_e}}{\nu_P^2}$$

Where the Compton frequency for the electron is,


 * $$\nu_{C_e}=\frac{m_e\;c^2}{h}=\frac{E_e}{h}$$

Rearranging the gravitational coupling constant terms,


 * $$G\;m_e^2=\hbar\;c\frac{\nu^2_{C_e}}{\nu_P^2}=\frac{\hbar\;c}{\nu_P^2}\frac{\;\nu_{C1}\;\nu_{C2

}}{r^2}$$

Next we will derive Compton's gravitational force equation and Compton's gravitational constant GC


 * $$ Force\;Gravity\;Newton =G_N\;\frac{m_1\;m_2}{r^2} $$


 * $$ Force\;Gravity\;Compton =\frac{\hbar\;c}{\nu_P^2}\frac{\;\nu_{C1}\;\nu_{C2}}{r^2}=\color{red}G_C\;\frac{\;\nu_{C1}\;\nu_{C2}}{r^2} $$

Where Compton's gravitational constant GC is;


 * $$ G_C\;= \frac{\hbar\;c}{\nu^2_P}=\frac{\hbar^2}{F_P}=G\left(\frac{\hbar^2}{c^4}\right)=9.2\times 10^{-113}\;\frac{N\;m^2}{\nu^2 } $$

Compton's gravitational force energy form;


 * $$ Force\;Gravity =\frac{G\;m_1\;m_2}{r^2}=\frac{h^2\;\nu_{C1}\;\nu_{C2}}{F_P\;r^2}=\color{red}\frac{E_{C1}\;E_{C2}}{F_P\;r^2} $$

The Compton's gravitational force equation is comparable to the Newton's gravitational force equation. From this we can develop additional gravitational modules based on frequency


 * $$ Force\;Gravity =G_N\;\frac{m_1\;m_2}{r^2}=G_C\;\frac{\nu_{C1}\;\nu_{C2

}}{r^2} $$


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