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The Imagineer's Chronicles:
A theoretical blog
Chapter Fourteen
Richard Feynman on pages 24 and 25 of his book “The Character of Physical Laws” indicates both gravitational and electrical forces share a common relationship with respect to the inverse square law.
"The inverse square law appears again in the electrical laws, for instance, Electricity also exerts forces inversely as the square of the distance, this time between charges, and one thinks perhaps that the inverse square of distance has some deep significance. No one has ever succeeded in making electricity and gravity different aspects of the same thing."
Later he talks about the ratio of gravitational attraction to electrical repulsions:
"The ratio of the gravitational attraction to electrical repulsions is given by a number with 42 digits tailing off. (The exact number was given in a diagram as Gravitation attraction / Electrical repulsion = 1/(417 X 10^42) Now therein lies a very deep mystery. Where could such a tremendous number come from? If you ever had a theory, from which both of these things are to come how could they come in such disproportion? What equation has a solution which has for two kinds of forces an attraction and repulsion with that fantastic ratio."
One may be able to derive an equation defining this fantastic ratio if one views space, as we have done in terms of the existence of a continuous non-quantized form of mass and four *spatial* dimension instead of four dimensional space-time.
Chapter one postulated space is composed of four *spatial* dimensions and a continuous non-quantized form of mass.
Chapter twelve derived gravitational forces in terms of the quantity of a continuous non-quantized form of mass contained a curvature or displacement in a "surface" of a three-dimensional space manifold with respect to a fourth "spatial" dimension.
(This curvature is analogous to the space-time curvature Einstein postulated is responsible for the force of gravity.)
Chapter nine derived electrical forces and their polarity in terms of the "slope" of a displacement in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension between two particles. It was shown the displacement associated with a positive charge was oppositely directed with respect to a negative.
This indicates "electricity and gravity (are) different aspects" of a displacement in "surface" of a three-dimensional space manifold and why as Richard Feynman points out they share common relationship with respect to the inverse square law.
Chapter two defined the physical relationship between a continuous non-quantized form of mass and the electrical energy of a particle in terms in terms of the equation E=mc^2 and a resonant system made up of a matter wave on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension. Where "E" equals the magnitude of a displacement in four-dimensional space "m" equals the magnitude of the continuous non-quantized form of mass associated with that displacement and "c" equals the speed of light.
However, this also defines the reason why "The ratio of the gravitational attraction to electrical repulsions is given by a number with 42 digits tailing off" because Chapters two, twelve and nine defined the relationship between the magnitude of a particles mass and electrical forces in terms of a displacement in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.
If this is true, one should be able derive an equation that will define “The ratio of the gravitational attraction to electrical repulsions” in terms of four *spatial* dimensions and the equation E=mc^2.
Solving the equation E=m*c^2 for "m" or the continuous non-quantized form of mass responsible for gravitation forces gives m=E/c^2.
The law of gravitation states that F=g*m*m/r^2.
Substituting the equation that defines the magnitude of a continuous non-quantized form of mass in terms of the electrical energy of associated with that mass or E/c^2 into the equation that defines the law of gravitation F=g*m*m/r^2 gives F=(E/c^2)^2/r^2.
Since, as mentioned earlier the quantity of a continuous non-quantized form of mass in a "depression" in a "surface" of a three-dimensional space manifold is responsible for gravitational forces and the slope in the "surface" of a three-dimensional space manifold is responsible for electrical energy, the equation F=(E/c^2)^2/r^2 would define the ratio of the magnitude of gravitation force to the magnitude of the electrical energy associated with that continuous non-quantized form of mass.
Using 9.0 x 20 cm/sec for the speed of light (c) squared and substituting we obtain F=E/(9.0 X 20)^2/r^2 or F=E/(8.1 X 10^41).
The value of 1/(8.1 X 10^41) represents the value of the ratio of “Gravitation attraction / Electrical repulsion” Richard Feynman was referring to in the earlier quote from his book “The Character of Physical Laws” because it numerically defines the ratio of gravitational energy to electrical energy.
The result of 1/8.1 X 10^41 differs from the experimental value of 1/(417 X 10^42) because some of the gravitational and electrical energy of particles is physical dissipated in deformation of a continuous non-quantized mass component of space that exists between all charged particles.
Therefore it appears one can solved the “very deep mystery” as to why the inverse square law can be applied to both gravitational and electric forces by “making electricity and gravity different aspects” if one assume they are both caused by a displacement in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension and answers Mr. Feynman's question as to "how could they (gravitational and electrical forces) come in such disproportion".
The universe's
most powerful enabling tool is not
knowledge or understanding but
imagination
because it extends the reality of
one's environment.""
Copyright 1995 Jeffrey O'Callaghan