GRAVITATIONAL EQUATION SOLVED

We can now solve for the gravitational constant. The proton can be looked at as two positive charges with one negative charge.

The net electrical repulsive forces between the two positive charges within the proton are:

Repulsive Force = A KQQ/Rp2 (2-30)

In equation 2-30 the repulsive electrical forces within the proton equals a constant [A] times coulombs constant K times the charge Q squared and divided by the radius of the proton. Many equations can be written for the proton. There are many vector forces. However from a big picture this does not matter. All that we need to know is that the total electrical repulsive forces can be represented by the above equation.

The repulsive forces want to rip apart the proton. In Chapter 4 the binding energy of the proton will be shown to be 3.4MEV. This saves the proton from ready destruction. The binding energy is another error term, which prevents the number three from being perfect.

The force of space preventing the destruction of the proton is the standard gravitational formula. Thus:

F = G Mp Me*/ (Pr)^2 (2-31)

In order to rip apart the proton, we need to rip out the lease amount of mass/energy possible. Although the dot-waves are tiny masses, the world works on Quantum masses. Thus the least amount of energy would be the mass of a positron. Either an electron or positron could shoot out of the proton, but it most likely will be a positron or a virtual particle, which is like a positron.

When we look inside the proton we find that all the dot-waves oscillate in complex patterns. To us it looks like chaos and noise. However if we look close we will find that the main body proton operates around a common center within the Plank length. The radius of the common center is:

Pr = 0.80812729E-35 (2-32)

Thus the center point of the proton is the Plank radius. As defined by Plank, the plank length is:

PL = [hG/2 pi C^3]^0.5 = 1.616252458E-35 meters (2-33)

Therefore the Plank diameter is equal to the Plank length. When we look at the Positron or electron within the proton, we find that it is equally distributed within the proton. The center of mass of the positron appears near the same point as the center of mass of the proton. The closest they can come together is the Plank diameter because when they touch the Plank length separates them.

The gravitational forces are:

F = G Mp Me* / (2 Pr)^2 (2-34)

In equation 2-34 we find that the force of gravity between the proton and the positron is equal to the gravitational constant times the mass of the proton times the mass of the positron and divided by the Plank length (PL) squared.

Ap K QQ/ Rp^2 = G Mp Me/ (PL)^2 (2-35)

Although the gravitational force between a proton and a positron or electron is very small when they are external to each other, the force is huge when the two particles coexist. Therefore it is the huge gravitational force which holds the proton together. The only reason the force is huge is that the center of gravity of the two particles is only a Plank length apart.

We can now solve for the constant A. Since K = 8.987551788E9, Q = 1.602176487E-19, Rp = 1.321409845E-15, G = 6.67428E-11, Mp = 1.672621637E-27, Me = 0.910938215E-30, and PL = 1.616252458E-35, we get:

Ap = 2.94636 (2-36)

Ap0.5 = 1.71650 (2-37)

Therefore we see that the square root of three comes up within an error of 0.898 percent. The number 3 has an error of twice this because it is a square.

For our purposes we can now write the gravitational force equation.

2.94636 K QQ/Rp^2 = G Mp Me / [PL]^2 (2-38)

Equation 2-38 is a missing equation of the Universe. This equation connects gravity with Plank. Thus it connects the Dot-Wave theory with Quantum Mechanics. The constant Ap is the proton constant.

We can now rearrange the terms to get the gravitational constant. Thus:

G = 2.94636 K QQ [PL)^2 / Mp Me Rp^2 (2-39)

The gravitational constant equals 2.946345 times Coulomb’s constant K times the charge Q squared times the Plank Length squared and divided by the mass of the proton, the mass of the electron and the radius of the proton squared. We can also get the ratio of the mass of the electron to the mass of the proton from this equation. There has never been a way to do this except by measurement. Since:

Rp = h/ MpC (2-40)

In Equation 2-40 the wavelength of the proton is used as its radius. This could produce a small error term in all my equations. Since there might be a conversion factor necessitated between the radius and the wavelength.

Me/Mp = 2.94636 Q^2[PL]^2 K C^2 / G h^2 (2-41)

Mp/Me = 1836.152 (2-42)

So now we know the equation to obtain the ratio of the mass of the proton to the mass of the electron as long as we know the other terms. The important thing is that this equation interconnects all the physical quantities. We can rearrange the terms to produce the radius of the proton. Thus:

Rp = 1.71650Q [PL] [K/GMpMe]^0.5 (2-43)

We can also write the equations in the form:

G/K =2.94636[PL]^2 Q^2 / [Mp Me Rp]^2 (2-44)

And:

GMp Me / K QQ = 2.94636 [PL)^2 / [Rp]^2 (2-45)

We can substitute the Plank length equation into the above to produce:

Me/Mp = 2.94636 K Q^2 / 2pi hC (2-46)

As a check:

Mp/Me = 1836.152 (2-47)