The connection of the electron to the gravitational constant -Gn- is through the density of the electron itself. If the electron is treated as a physical point with dimensional parameters then density is mass divided by the radius of a three dimensional sphere or:
Me / Re = mass of electron in grams divided by the classical radius of the electron , equals the density function of the electron:
Me = 9.1093826 * ( 10 ^ - 28 ) grams = mass of electron
Re = 2.817940285 * ( 10 ^ - 11 ) mm/10 = radius of electron
The coulomb constant -K- can be shown as:
K * q1 * q2 / ( d ^ 2 ) = energy in dynes
q1 and q2 = charges of particles in coulombs
d = distance between particles in meters
K = coulomb constant = 1 / 4 / Pi / E
....where E equals the permittivity of space:
E = 1 / 4 / Pi / ( c ^ 2 )......c = speed of light = 299792458 m/s
The coulomb constant is a function of the mass, radius, and energy of the electron point particle:
K = 1 / 4 / Pi / E = .510998918 * 100 * sqrt( Re / Me )
Since the formulas for gravitational and electrical energies in dynes have basically the ..same structure:
Gn * mass * mass / ( distance ^ 2 )
K * charge * charge / ( distance ^ 2 )
....then the following following relationship can be established:
( 10 ^ 4 ) / ( K ^ 2 ) * ( log (( log Gn ) + 12 )) = Me / Re
...when.... sqrt( Me * Re ) = elementary charge = Ce = 1.60217653 * ( 10 ^ - 19 ) C
..... Me / Re is the density of the point electron. This density of the electron is related to the amplitude of an electron to emit or absorb a photon or the fine-structure constant through the elementary charge of the electron.... Ce:
Me * Re = Ce ^ 2
....which can be substituted in the fine-structure constant formula:
Me * Re / 2 / E / h / c = 1 / 137.035999...
...since the permittivity of space -E- is ...1/ 4 / Pi / ( c ^ 2 ) ...., then it can also be demonstrated :
Me * Re * 2 * Pi * c / h / ( 10 ^ 7 ) = 1 / 137.035999..
The absorbtion of factors of 10 can be shown as the scalar of the density of the point electron as a very small three dimensional object that is measured in grams per meter , three dimensional(cubed):
( log (( log Gn ) + 12 )) / ( K ^ 2 ) = Me grams / Re meters
...Re = 2.817940285 * ( 10 ^ -7 ) meters m in this formula
...thus the density of the point electron...Me / Re... is a function of the only two constants of Nature that obey the inverse square law of energy density in three dimensional structures..the gravitational constant and coulombs electrical constant. To place all three constants...Gn , K , and a(em)... into one equality , multiply the point density of the electron by the radius of the electron squared..Re^2..such that :
( Re ^ 2 ) * ( log (( log Gn ) + 12 )) / ( K ^ 2 ) / 2 / E / h / c / a(em) = unity = 1
...Re = 2.817940285 * ( 10 ^ - 9 ) centimeters cm in this formula
the changing of the scale between the two systems, meters to centimeters is related to Leahy's philosophy of the " thinking , NOW, created 100 " as prime principle.
J.Iuliano
e-mail: JerryIuliano@aol.com
Sources from 2004 NIST fundamental constant standards:
electron = .510998902 mev / (c ^ 2 )
Me = electron mass = 9.1093826 * ( 10 ^ - 11 ) grams
Re = electron radius = 2.817940285 * ( 10 ^ - 7 ) meters
K = coulumbs constant = 8.987551705 * ( 10 ^ 9 )
Gn = gravitational constant in newtons = 6.6742 * ( 10 ^ - 11 ) k^3/m/s
c = speed of light = 299792458 meters/seconds
h = Planck's constant = 6.62606891 * ( 10 ^ - 34 ) Joules
E = permittivity of space = 8.854187818 * ( 10 ^ - 12 ) Fm
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  |
Material reproduced here is for educational and research purposes only.
