An Equation for G By Robert de Hilster NPA Conference 2008 Albuquerque, NM

An Equation for G

By Robert de Hilster

NPA Conference 2008

Albuquerque, NM

How can the curves be so similar?

Gravitational Acceleration Np = 648K, Abc = 1E-25, Fg = -7.23E+35

0.00

2.00

4.00

6.00

8.00

10.00

12.00

1 3 5 7 9 11 13 15 17 19

0 32K 128M Distance, meters

g, m

/se

c^

2

Graviton g

Newton g

g(Book)

When the Equationsare So Different

A Special Case of the Graviton Equation

• Gravitons Pairs

• Replace Density with Mass/volume

• Multiply by 1

Two Gravitons

Graviton Pairs

• First term is +Ng

• Second term is -Ng (1 - Ze Abc De)

• Added together as a pair is

Ng Ze Abc De

Simplified Equation

• The term with Ng(1 – Ze *Abc *De) is gone

• It is replaced by Ng Ze Abc De

• The number of angles in the plane has been reduced to 180 because the equation is in pairs

Density = Mass/Volume

• The density of the earth and the moon both appear in the equation

• This part of the equation shows mass times mass

Re-arrange the equation

• Insert Mass/Volume

• Re-arrange

It looks like Newton

• There is mass times mass, but no 1/R^2

• Where is R = Rm + d1 + Re

• Can’t introduce d1

• So maybe it could be forced

Multiply By 1

• Numerator left, denominator right

An Equation for G

• Units for G

• [Nt*(m^2/Kg)^2*m*m^2* m]/m^6

• Nt*m^8/(Kg^2*m^6)

• Nt*m^2/Kg^2

First 8 points of G

The Graviton Curves for G Np = 648K, Abc = 1E-25, Fg = 7.24E+35

6.630E-11

6.640E-11

6.650E-11

6.660E-11

6.670E-11

6.680E-11

1 2 3 4 5 6 7 8

0 2,000 32,000 Distance, meters

G, N

t m^2

/ K

g^2

G

Gm High

Gm Low

Extended Curve

The Graviton Curve for G Np varies, Abc = 1E-25, Fg varies

0.000E+00

2.000E-11

4.000E-11

6.000E-11

8.000E-11

1 3 5 7 9 11 13 15 17 19 21

0 32K 131MDistance, meters

G, N

t m

^2

/ Kg

^2

G

Gm High

Gm Low

An Equation for G

• Units for G

• [Nt*(m^2/Kg)^2*m*m^2* m]/m^6

• Nt*m^8/(Kg^2*m^6)

• Nt*m^2/Kg^2

Two Extreme Cases

• If the graviton experiment proves wrong, then the equation for G is wrong.

• If the graviton experiment shows that the graviton equation gets the right results, then there is no need for G

• So, its is either wrong or not needed.

Maybe Reality is Somewhere in Between

• Given the right circumstance, both equations may be useful

• If the graviton equation is better,

and since it is hard to use

Then use the Newtonian equation, but get the value of G from the curve for G

How can G, a constant, vary with distance?

• If it is a constant, it can’t!

• There are two equations, Newton’s equation and the graviton equation

• Both are mathematical equations

• The curve for G is one way to show the difference

Double Summation

• Since the two equations give similar curves

Then the double summation must be nearly equal to 1/R^2

• Maybe it is possible to mathematically change the double summation to a series that has 1/R^2 as it’s main term

Double Summation vs 1/R^2

• If the double summation was equal to 1/R^2 , then

G is now a constant

The units of G are wrong!

An Equation for G

• Units for G

• [Nt*(m^2/Kg)^2*m*m^2* m]/m^6

• Nt*m^8/(Kg^2*m^6)

• Nt*m^2/Kg^2