Transcript The Graviton Equations

The Graviton Equations
By Robert de Hilster
NPA Conference 2008
Albuquerque, NM
Wikipedia.com
Is gravity like other forces?
Because it does not depend on a particular space
time background, general relativity is said to be
background independent. In contrast the
Standard Model (particle physics) is not
background independent. In other words general
relativity and the Standard Model are
incompatible. A theory of quantum gravity is
needed to reconcile these differences.
Quantum Versus Continuum
• Newton’s gravity equation and General
Relativity describe a continuum
• Can a continuum generate force (? my
own question)
• This research is to try and show the
difference between a continuum and a
quantum force of gravity
• The quantum is defined here as a graviton
Four Postulates
• The Graviton – A particle with mass and
velocity coming from all directions
• Absorption Rate – Matter absorbs the
graviton per unit distance
• Pushing Force – the graviton imparts a
pushing force on matter when absorbed
• Absorption Constant (Abc) – Absorption
rate is proportional to density, hence:
Ab(e) = Ab(c) * De
How the graviton causes gravity
Terms
•
•
•
•
Np: The Number of paths, 64,800
Ng: The number of gravitons per path, 1
Ab(e): The absorption rate for the earth
Z(e): The distance that the graviton travels
through the earth
The Number of Gravitons Imposed
on the Moon in one Plane
Include all Planes
The Net Number of Gravitons
Imposed on the Moon
To Get the Force
• Zm: Distance the graviton travels through
the moon
• Abm: The absorption rate of the moon
• Fg: The average force, in Newtons, that
the graviton imposes on any object
The Force Imposed
on the Moon
The Graviton Equation
The Absorption Constant
• The absorption rate is equal to the
Absorption constant times the density of
the object
• Abe = Abc * De
• Abm = Abc * Dm
• Abc must have units of m^2/Kg, if
(1-Ze*Abc*De) is to be dimensionless
The Graviton Equation with Density
Mathematical Calculations
• Using an arbitrary-length precision math
package (C++) on a PC
• Using 150 decimal places
Summing values to zero were zero
Similar areas gave identical values
• Graviton calculations have very large
counts with very small values
• Calculations can take up to 3 days on a
PC
Calculations
•
•
•
•
Np = 64,800 = 180 * 360
Abc = 1E-25 (arbitrary)
Fg = 1(used as a scaling factor)
What is the force on the Moon?
Force on the Moon
Force on the Moon
Np*Ng = 64,800
Abc = 1E-25, Fg = -9.94E+59
8E+23
Force, Newtons
7E+23
6E+23
5E+23
Newton
Graviton
4E+23
3E+23
2E+23
1E+23
0
1
24
2
3
4
5
6
384
Distance, Mega-meters
7
8
3,075
Particle or Continuum
• As a particle, with mass and velocity it:
– can impose a force on matter
– can be absorbed
– takes finite space
• As a continuum it
– needs a mechanism to impose force
Gravitational Acceleration
• From a Physics Book
• Altitude (m)
g (m/sec^2)
0
9.80171
500
9.80017
1000
9.79864
2000
9.79554
4000
9.78937
8000
9.77702
16000
9.75233
32000
9.70296
Curve for g, 8 Data Points
Gravitational Acceleration
Np = 648K, Abc = 1E-25, Fg = -7.23E+35
g, m/sec^2
9.85
9.80
9.75
Graviton g
9.70
Newton g
9.65
g(Book)
9.60
1
0
2
3
4
5
6
2K
Distance, meters
7
8
32K
Curve for g, 20 data points
Gravitational Acceleration
Np = 648K, Abc = 1E-25, Fg = -7.23E+35
12.00
g, m/sec^2
10.00
8.00
Graviton g
6.00
Newton g
4.00
g(Book)
2.00
0.00
1
3
0
5
7
9
11
13
32K
Distance, meters
15
17
19
128M
How can the curves be so Similar?
• Similar Curves
• Different Equations
Newton’s Third letter to Bentley
• That gravity should be innate, inherent and
essential to matter, so that one body may
act upon another at a distance through a
vacuum, without the mediation of anything
else, by and through which their action
and force may be conveyed from one to
another, is to me so great an absurdity,
that I believe that no man who has in
philosophical matters a competent faculty
for thinking, can ever fall into it.