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J-max unification of fundamental forces
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J-max unification of fundamental forces
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J.Iuliano
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J-max unification of fundamental forces
«
on:
26/07/2009 14:22:04 »
.....
J-max is a term invented by Kerr to derive the maximum rotational energy ( angular momentum ) of black holes. This Kerr described by this equation:
J-max = Gn * mass^2 / c
....if one were to calculate the J-max of the electron-proton masses an interesting thing happens:
J-max(e,pr) = Gn * M(e,pr)^2 / c = M(e,pr) * c * Rp^2 / R(e,pr) * aem
....the numerator has root value: mass of electron or proton times light speed times Planck mass radius , squared. Since the J-max value for the smallest blackhole , Planck mass , Mp , is h-bar:
J-max(Mp) = Gn * Mp^2 / c = h-bar = Mp * Rp * c
...then the following unification formulas can be shown using the numerator root value:
ROOT FORM........... J-max = Gn * M(e,pr)^2 / c = M(e,pr)^2 * c^2 * Rp^2 / h-bar
STRONG FORCE.... J-max = Gn * M(e,pr)^2 / c = M(e,pr)^2 * c * Rp / Mp
GRAVITATIONAL..... J-max = Gn * M(e,pr)^2 / c = M(e,pr)^2 * c^3 * Rp^2 / Gn / Mp^2
WEAK FORCE......... J-max = Gn * M(e,pr)^2 / c = M(e,pr)^2 * c^3 * Rp^2 / ( Gw/Gf )^1/3
ELECTRONIC........... J-max = Gn * M(e,pr)^2 / c = M(e,pr) * c * Rp^2 / R(e,p) * aem
....interesting to note that the J-max, angular momentum, describes parallel force fields between the gravitational and weak forces, that is at J-max potentials , all fields are parallel . However in primitive form , gravity and the weak force are inverse fields to each other:
Gn = Rp / Mp * c^2
( Gf / Gw ) ^ 1/3 = Rp * Mp * c^2
...Thus, Kerr's J-max formula automatically unifies the inverse force fields of the gravitational and weak forces. Electromagnetism's role is one of neutrality when dealing with the inverse fields of gravity and the weak force. since it is the inversion of light speed , squared !! that determines fine-structures neutrality:
Gf^1/3 * Gw^-1/3 = M(e,pr) * R(e,pr) * c^ 2 / aem
(a) 1 / Gn = M(e,pr) * R(e,pr) * c^-2 / aem / Rp^2
(b) Gn = M(e,pr) * R(e,pr) * c^ 2 / aem / Mp^2
....combining the Planck mass and Planck radius leads to greatest simplification:
M(e,pr) * R(e,pr) = Mp * Rp * aem ........electromagnetic
c^-2 = Mp * Rp * Gf^1/3 * Gw^-1/3 .........weak force
c^ 2 = Mp / Rp * Gn .........gravitational
....from the equations above, one can observe the inverse field phenomenon between the gravitatational and weak forces. Light speed c is the generator of the inversion between their fields. The dimensionals of the equations show electromagnetism ( fine-structure = aem ) to be dimensionless, the weak force is in the form of a pressure equation measured in kilograms volume per second squared, acceleration of inertia, the gravitational dimensionals are interesting, suggesting a fourth-dimensional " volume" , accelerating....m^4/s^2. Note how the Planck mass times its radius is an energy potential that sits at the core of the three fundamental forces. Concerning , aem , fine-structure , the energy potential of the Planck mass as an object concentrated to a radius of Planck length times the amplitude for electron-photon absorption and emitting , fine-structure , equals the energy potential for the electron and proton...Mepr * Repr. The energy potential of the Planck mass has Dirac's reduced Planck constant , h/2/Pi , as its root , and this I think represents the strong force.
c^-1 = Mp * Rp * h-bar ........strong force
.....2 times Pi is the fourth fundamental force!! The fact that the field generated by... 1/c... is the same as the weak nuclear force field...1/c^2...is fundamental to the understanding of the dimensionals of the strong, weak , and gravitational forces. The dimensionals of the weak and gravitational forces...m^2/s^2 and s^2/m^2...are defined as a torque or energy defined in joules. However the strong force ...h-bar... is defined as pure velocity...inverted !! Two times Pi times the radius , Rp , equals a two dimensional ring( string?) Assign a weight to this ring by multiplying it by Planck mass ...Mp*2*Pi*Rp...Now rotate the ring to the limit of the standard model , light speed c . When this ring rotes once t the smallest vibration allowed in Nature occurs, the limits of the standard model, the singularity of black hole objects sits on this limit. Note how in the gravitational form the energy is static ( non-rotating) with the black hole densities , mass per unit radius , being the energy or torque generator. The scale of the gravitational form demonstrates the unit weakness of the energy. Two masses , one the Planck mass , Mp, the other , one kilogram are placed 299792458 meters apart, the gravitational energy between these two objects one would think would be zero, but there is an extremely tiny value , Planck radius , Rp , that is equivalent to this energy . Although small it does exist. This shows that there is an energy in space itself defined at the Planck length as a scaling unit that determines space volume. The weak force is tiny, but not to the extremeness of gravity, this is due to the fact that Planck mass is converted into pure energy, this causing an inversion of the weak force with its scalar Planck length. Gravity also has a nuclear space energy form that is attached to the gravitational energy form:
Rp = Gn * 1 * Mp / c^2 ................... gravitational energy of space
c^ 2 * Rp = Gn * Mp / 1^2 ....................nuclear energy of space
c^ 2 * Rp = Gf^1/3 / Gw^1/3 / Mp .....................nuclear energy of space
...the difference between nuclear and gravitational energy is when in nuclear form the Planck mass and single kilogram are separated by one meter , while in the gravitational form they are separated by 299792458 meters.
aem = fine-structure = 1/137.035999701
Gn = gravitational = 6.67428 * 10^-11
Gw = weak force = .0000116637
Gf = weak force = 3.685756998 * 10^-82
Mp = Planck mass = 2.176437408 * 10^-8 kg
Me = electron mass = 9.109382117 * 10^-31 kg
Mpr = proton mass = 1.672621665 * 10^-27 kg
Rp = Planck radius = 1.616252458 * 10^-35 m
Re = electron radius = 2.817940298 * 10^-15 m
Rpr = proton radius = 1.534698222 * 10^-18 m
h = Planck's constant = 6.62606896 * 10^ -34 J
h-bar = Dirac's constant = 1.054571628 * 10^-34 J
c = light speed = 299792458 m/s
J.Iuliano
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witsend
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J-max unification of fundamental forces
«
Reply #1 on:
30/07/2009 19:52:28 »
Here you go, SophieCentaur. There's more than enough math here to satisfy the purist. Where's your input?
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lyner
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J-max unification of fundamental forces
«
Reply #2 on:
30/07/2009 23:49:38 »
witsend
I have seen more mature posts in my time.
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