The Imagineer's Chronicles: A theoretical blog

Chapter Three

EM radiation is propagated through space by a matter wave, supported by vibrations in a continuous non-quantized form of mass moving on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

Chapter one postulated that space is composed of four *spatial* dimensions and a continuous non-quantized form of mass and energy.

In Chapter two, the quantum properties of mass, energy were derived in terms of resonant "system" formed in space by oscillations or vibrations in a continuous non-quantized form of mass.

It was shown that a matter wave on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would generate a "standing" or resonant wave in a continuous non-quantized form of mass. 

It will now be shown that "contractions" in a "surface" of a three-dimensional space manifold caused by matter wave moving at the velocity of light on its "surface" are responsible for the energy of a photon.  The magnitude of these "contractions" will be derived in terms of the frequency of a matter wave and the relationship between mass and energy defined by the equation E=mc^2.

The "contractions" in a "surface" of a three-dimensional space manifold caused by a matter wave on a "surface" of a three-dimensional space manifold would be analogous to how a wave on the two-dimensional "surface" of water contracts or shortens the two-dimensional distance between two points on the surface of the water.

The mechanism responsible for causing these "contractions" can be derived from the equation E=h*f which defines a photon's energy in terms of its frequency.

As mentioned earlier, Chapter two defined the energy of all quantum particles, including a photon, in terms of resonate "structures" or systems formed by oscillations in a continuous non-quantized form of mass.

However, the kinetic energy of a system is defined by the equation E=mv^2 where "E" equals the energy of the system "m" equals its mass and "v" is the velocity of the mass in that system. 

Therefore, the energy in the resonant system of a photon could be defined in terms of the mass of the continuous non-quantized mass component of a photon times it's velocity or E=mc^2f, where "E" equals the energy of a photon "m" equals the mass of its continuous non-quantized mass component and "f"` equals the frequency of the interchange between the mass and energy components of the matter wave.  The energy is directly related to its frequency because the velocity of the interactions between the mass and energy components of a photon would be directly related to the frequency of those interactions.

This indicates the equation E=h*f can be rewritten as E=mc^2*f because it would define the energy of a photon in terms of the velocity of the oscillations in a continuous non-quantized form of mass and energy that are responsible for a photon's energy.

This means the equation of E=mc^2f would also to define the magnitude of the "contractions" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension responsible for a photon's energy.

However, equation of E=m*c^2*f defining a photon's energy will have to be modified to E=m*c^2*(v/F).

This is because a photon's energy will be derived in terms of a ratio of a "contraction" in a length of a "surface" of a three-dimensional space manifold caused by the passage of a matter wave with respect to the length of a three-dimensional space manifold with no matter wave present.

The term (v/F) in the equation E=m*c^2*(v/F) defines the ratio of a shortening of a length of a "surface" of a three-dimensional space manifold caused by the passage of a "standing" matter wave associated with a photon or EM radiation.  Because "v" equals the "distance" between two points on a "surface" of a three-dimensional space manifold with NO EM radiation traveling though it minus the distance between two points separated by one wavelength on a "surface" of a three-dimensional space manifold with a matter wave moving though it, while "F" equals the length of a three-dimensional space manifold with respect to a fourth *spatial* dimension with a matter wave of "0" frequency passing through it.  Therefore, the dimensionless term (v/F) defines the ratio of the shortening of the length of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by the passage of the matter wave responsible for EM radiation. 

However, before we begin our discussion regarding the "contractions" in a "surface" of a three-dimensional space manifold responsible for a photon's energy we must first understand the difference between the "dynamic" and "static" component of a photon's energy.

The "dynamic" component of a photon's energy is related to the effects it has on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

In Chapter twelve the magnitude of a mass will be derived in terms of a "curvature" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.  This "curvature" shortens or "contracts" the three-dimensional distance on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension because the "chord" of the "arc" caused by this "curvature" is shorter than the "arc" itself.

Chapter twelve indicates that the energy associated with the mass of a moving particle is, in part related to a "curvature" in a "surface" of a three-dimensional space manifold.

Therefore, because the energy of a photon can only come from a conversion of mass to the energy associated with a curvature in the "surface" of a three-dimensional space manifold this curvature must move at the same velocity as that of the photon.  This means a portion of a photon's energy is propagated by a dynamic contraction of space at the velocity of light.  This contraction of space due to the movement of a photon though space would be the dynamic component of a photon's energy.

However the particle properties of a photon were define earlier in terms of resonant system on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension. 

This means that a portion of a photon's energy would be contained internally to its particle or resonant "structure" while a portion of its energy, as mentioned earlier would be propagated by a dynamic contraction of space.

The internal energy of the resonant "system" associated with the particle properties of a photon would be considered the "static" form of a photon's energy because its energy is moving at the same velocity as the photon and therefore it would be "static" relative to it.

Earlier these discussions showed the  "contractions" in a "surface" of a three-dimensional space manifold responsible for the "static" component of a photon's energy are caused by oscillations in a continuous non-quantized form of matter defined by the equation E=m*c^2*(v/F).

However, as mentioned earlier the "contractions" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by the internal oscillations of the continuous non-quantized mass component of a photon does not contribute to "dynamic" energy of a photon associated with its movement through of space at the velocity of light.  Therefore to define the contractions in a "surface" of a three dimensional space manifold associated internal energy of a photon one must factor the velocity of light or "c out of the equation E=m*c^2*(v/F) defining the total energy of a photon.

This indicates, the energy associated with the  "contraction" of a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension by a photon would be quantified by the equation E=m*c*(v/F) or E=m*c*(Mr-Mc)/F). 

The term (Mr-Mc)/F) in the equation E=m*c*(Mr-Mc)/F) defines the magnitude of a contraction in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension in terms of the frequency of a matter wave responsible for a photon's energy.  This is because the term "Mr" represents the distance between two points on a three-dimensional space manifold with respect to a fourth *spatial* dimension with NO matter wave traveling thought it and the term "Mc" represents the distance two points occupy on a three-dimensional space manifold with respect to a fourth *spatial* dimension with a matter wave moving through it and "F" equals the length of a three-dimensional space manifold with respect to a fourth *spatial* dimension with a matter wave of "0" frequency moving through it.  Therefore, the dimensionless term (v/F) or (Mr-Mc)/F) defines the "shortening" in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension by the passage of a matter wave responsible for EM radiation.

Earlier it was mention that Chapter twelve defined gravitational energy in terms of a "shortening" or contraction in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

However the equation of E=m*c*(Mr-Mc)/F) indicates that EM radiation and the energy of a photon is also the result of a "shortening" or contraction in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

This provide a physical link between the quantum properties of a photon and gravitational energy because if defines both in terms of the physical properties of a continuous non-quantized form of mass and energy and four *spatial* dimensions. 

The finial equation defining EM radiation would be E=m*c*c*(Mr-Mc)/F) or E=mc^2*(Mr-Mc)/F) because as mentioned earlier the dynamic lengthening of space at the speed of light associated with mass to energy conversions responsible for the formation of a photon contributes to the total energy associated with a photon and EM radiation.

This completes the derivation of EM radiation in terms of a matter wave in a continuous non-quantized form of mass and energy moving on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

“The universe's most powerful enabling tool is
not knowledge or understanding
but imagination"
Jeffrey O'Callaghan

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