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Jeff O'Callaghan the_imagineers@yahoo.com Please visit Shadows to view it in a continuous format with internal links to chapter web sites or Shadowpdf for a printable version in pdf format. |
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Chapter Seventeen A link between Gravitational and Kinetic Energies To understand a possible physical link between gravitational and non-gravitational or kinetic forces requires an understanding of the mechanism responsible for their generation. Chapter fifteen derived kinetic energy in terms of an "elevation" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by the movement of a object through three-dimensional space. It was shown a "slope" generated in a "surface" of a three-dimensional space manifold by this "elevation" was responsible for kinetic forces. Chapter twelve derived gravitational energy in terms of a "depression" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by the mass of an object in three-dimensional space. It was shown a "slope" generated in a "surface" of a three-dimensional space manifold with respect to a fourth spatial dimension by this "depression" was responsible for gravitational forces. (This "curvature" or "depression" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension responsible for gravitational forces is analogous to a curvature in a space-time manifold that Relativity postulates is responsible for gravitational forces.) A link between gravitational and kinetic forces can found by comparing the effects a "slope" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension have on an object in three-dimensional space to a marble on the slope of an inclined plane. The downward force or acceleration experienced by a marble on an incline is proportional to the magnitude of the slope of the incline and as the magnitude of the elevation and slope of the incline increases, the magnitude of the downward force on the marble increases. Chapter fifteen showed the magnitude of an "elevation" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension generated by an object is related to the kinetic energy of that object. Therefore, the magnitude of forces or accelerations experienced by an object in three-dimensional space interacting with a "slope" of a kinetic energy "elevation" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would be proportional to the kinetic energy of that object. This is analogous to how the magnitude of the downward acceleration of the marble on the incline in the earlier example was proportional to the slope of the elevation in the incline. Additionally, the direction of the forces caused by a kinetic energy "elevation" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would be directed away from the apex of the "elevation". Therefore, the forces and accelerations associated with the interaction of the kinetic energy of two objects will be in the same direction as the velocity vectors of the interacting objects. Chapter twelve derived gravitational force in terms of a "slope" generated by "depression" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension. It was shown the magnitude of a "depression" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension generated by an object is proportional to mass of that object. Therefore, the magnitude of forces or accelerations experienced by an object in three-dimensional space interacting with a "slope" of gravitational "depression" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would be proportional to the mass of that object. However, the direction of the forces or accelerations associated with a gravitational "depression" in a "surface" of a three-dimensional space manifold with respect to a |