an equation for g by robert de hilster npa conference 2008 albuquerque, nm
TRANSCRIPT
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An Equation for G
By Robert de Hilster
NPA Conference 2008
Albuquerque, NM
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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)
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When the Equationsare So Different
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A Special Case of the Graviton Equation
• Gravitons Pairs
• Replace Density with Mass/volume
• Multiply by 1
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Two Gravitons
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Graviton Pairs
• First term is +Ng
• Second term is -Ng (1 - Ze Abc De)
• Added together as a pair is
Ng Ze Abc De
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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
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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
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Re-arrange the equation
• Insert Mass/Volume
• Re-arrange
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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
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Multiply By 1
• Numerator left, denominator right
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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
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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
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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
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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
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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.
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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
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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
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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
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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!
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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