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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 Twenty-Four in terms of Four Spatial Dimensions Maxwell's Equations can be derived from the physical properties of a matterenergy wave on a "surface" of a three-dimensional space manifold with respect of a fourth *spatial* dimension. Chapter one postulated a volume of space is composed of a continuous non-quantized "field" of mass and energy. In Chapter two, the quantum properties of mass and energy were defined in terms of the integral energies associated with a resonant "structure" formed in space by "vibrations" in a continuous non-quantized matter and energy field component of space. These resonant "structures" are called a mattercule or "quantum mass unit of space". Chapter three derived the propagation of electromagnetic energy in terms of a matterenergy wave on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension generated by "vibrations" in a continuous non-quantized matter and energy field component of space. The quantum properties of a electromagnetic energy were derived in terms of "vibrations" generated in a continuous non-quantized mass and energy field components of space by the passage of a matterenergy wave on a "surface" of a three dimensional space manifold with respect to a fourth spatial dimension. These "vibrations" generate resonate "structures" on a "surface" of a three-dimensional space manifold that defined the quantum properties of mass and energy in Chapter two. Therefore, they also define the quantum properties of electromagnetic energy. Additionally it was also shown the propagation of this matterenergy wave is a result of the coupling from one resonant "structure" to the next of the "vibrational" energy of the continuous non-quantized matter and energy field components of space. These resonant "structures" or "quantum mass units of space" were defined in Chapter two. These "vibrations" in a continuous non-quantized matter and energy field component of space responsible for generating a matterenergy wave are analogous to vibrations associated with a wave on the surface of water. The trough of a wave on water displaces the vertical volume of water below the surface of the water with air while the peak of a wave on water displaces the air above the surface of the water with water. Similarly a "trough" of a matterenergy wave on a "surface" of a three dimensional space manifold displaces a continuous non-quantized the matterfield component of space below a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension with a component of four-dimensional space. While a "peak" of a matterenergy wave displaces a "volume" of four-dimensional space above a "surface" of a three-dimensional space manifold with a continuous non-quantized matterfield component of three-dimensional space. Chapter ten defined all forms of energy in terms of a spatial displacement or "separation" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension. Therefore, the sinusoidal spatial displacements in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by the "peaks" and "troughs" of a matterenergy wave on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would be responsible for the propagation of electromagnetic energy and the validity of Maxwell's equations. First the mechanism responsible for Gauss's law of Electricity, the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity |