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GEFR is abbreviation for Gravity to Electric Force Ratio.

Gravity to electric force ratio is defined as

GEFR = GF/EF

The GEFR for an electron of hydrogen is

$GEFR = (G m_p m_e /r^2 )/ (e^2 / 4 \pi \epsilon_0 r^2 )$ $= ( d^2 r/r_{SE} )^2$

where $r_{SE}$is the distance between sun and earth. and dd is about 62.6( dddd=3918.8).

## Earth Moon distance and forcesEdit

To avoid diverging integration, It is better to determine G' from mass of earth and distance from the moon.

Failed to parse (lexing error): G" = r_{EM}^5 \omega_{ME} ^2 /M_e

Then GEFR for an electron of hydrogen becomes

Failed to parse (lexing error): GEFR = G"/G'=2.46 %

Mass and density of sun is very high compared earth in this scheme.

In the conventional inverse square scheme, The Moon is exceptionally large relative to the Earth, being a quarter the diameter of the planet. and the Earth and Moon are still commonly considered a planet-satellite system instead of double planet

From Angular mometum conservation,

$I_m \omega_m sin \theta_m = I_e \omega_e sin \theta_e$

If we assume equivalent density for moon and earth,

Rm/Re =2.626.

then $d_{me} = 0.38M* 2.626/0.273$ =3.656 Giga Meter

Then Inverse biquadrate Gravity constant is G" should be multiplied by 9.549*9.549.

$GEFR = 9.549^2 * 2.46$ = 224.31%

The above value is reasonable because inverse square potantial is larger for outer radius. and the density of the sun converges to over 1,000 times.

### Physical quantityEdit

It is important to check physical meaning of $M_i T_s /T_0$. The value is proportional to the pressure for ideal gas.

The Physical quantity is proportional to the radiational pressure for solid.

## GEFR of Atomic modelEdit

We would like to fit energy level for backward compatability.

$r = r_0 n^{4/3}$

then,

$E_{nk} = 1/3 ( G_3 Mm/ 2 r_0 ^3 ) (1/n^2 +1/k^2 ) (1/n^2 -1/k^2 )$

note that total enery is positive and inside electron has high energy. and, with newly enhanced g",

Failed to parse (lexing error): GEFR =G"/G_{3} =0.8455  %