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Chapter Seven

The wave & spatial properties of Photons

To this point, the wave properties of a photon have been in derived and defined in terms of the resonate energies “Shadows” associates with the matter and energy field components of the mattercule or quantum unit of space.  However, the wave properties of a photon and other quantum particles can also be derived and defined in terms of the spatial properties "Shadows" associates with the mattercule defined in Chapter two.

On pages 17 thru 23 of Richard P Feynman's book "QED The Strange Theory of Light and Matter", he discusses what happens when light is partially reflected by two surfaces.  He demonstrates by placing two glass surfaces exactly parallel to each other one can observe how the photons of light reflected from the bottom surface interact with those reflected from the top surface.  Depending on the thickness of the glass he can determine, by using a photo detector, that four percent or 4 out of 100 photons reflected from the lower surface of the glass could add up to as many as 16 or none at all when they interact with the photons reflected from the upper surface of the glass.

These observations of Mr. Feynman support the wave properties of electromagnetic radiation.  Because according to wave theory the energy associated with the interference of the wave characteristics of 4 photons with 4 other photons will result in energy variations that corresponds to the energy associated with 0 to 16 photons.

However, wave theory also predicts the energy variations should be continuous.  In other words, the energy of the reflected photons should be able to take on any value between 0 and the combined energies associated with 16 photons.

Unfortunately for the wave theory of light, the energy of the reflected photons in the above experiment can only take on integral or quantum values equal to the energy of the photons that originally struck the surface of the glass.

The quantum properties of the energy of the reflected photons in the above experiment are therefore not supported by the wave theory of light.

However this apparent contraction between the above wave characteristics of a photon and its quantum properties can be resolved if the energy of a photon is viewed in terms of the spatial properties "Shadows" associates with the matter and energy field components of the mattercule.

In Chapter three the energy of a quantum "particle" of electromagnetic energy called a photon was mathematically defined in terms of the resonate properties Shadows associates with the mass or matterfield and the energy or energyfield components of the mattercule by the equation E=m*c*f.  Were "E" equals the energy of a photon in terms of the energyfield component of the mattercule, "m" equals the "quantity" of matterfield component "contained" in a mattercule, “c” the speed of light and “f” the frequency.

Earlier in Chapter two the spatial volume and length of all quantum particles was derived in terms of the same resonant properties of the matter and energy field components of the mattercule or " quantum unit of space" that defined the energy of a photon.  It derived the total spatial volume or length of the mattercule to be equal to the sum of the spatial volumes or lengths associated with of the mass component and "equivalent spatial length” of the energy component of the mattercule.

Because Chapter two defines the spatial properties of all quantum particles in terms of the same resonate properties of the mass and energy components of space that defined the energy of photon in Chapter three it also defines the spatial properties of the energy of specific photons.

The magnitude of the "equivalent spatial length" of the energyfield component of the mattercule with respect to the spatial length of the mass component of the mattercule was defined in Chapter two by the equation E=mc.  ("E" in the equation E=mc equals “equivalent spatial length” of the energy component of the mattercule and "m" the spatial length of the matterfield component of the mattercule and "c" equal the velocity of light.)

The equation derived in Chapter two of E=mc defining the "equivalent spatial length" of the energy component of a photons indicates the vector magnitude of the "equivalent spatial length" of a photon is dependent on its energy.

In addition the equation defined in Chapter three of E=m*c*f indicates the vector quantity associated with magnitude of the "equivalent spatial length" of a photon rotates sinusoidally with respect to the spatial length of the mass component of space because it's magnitude is dependent on "f" or frequency.

The wave properties of photons observed by Mr. Feynman are due to the interference of the spatial resonate properties “Shadows” associates with mass and energy components of a photon.

If the spatial distance between two photons is equal to half of the “equivalent spatial length” “Shadows” associates with energy of specific group of photons, the wave properties of the resonate oscillations of the matter and energy field components of these photons will interfere and the interaction of 4 photons with 4 other photons will yield 0 photons.

If the spatial distance between two photons is equal to the “equivalent spatial length” “Shadows” associates with energy of specific group of photons, the wave properties of the resonate oscillations of the matter and energy field components of these photons will reinforce and the interaction of 4 photons with 4 other photons will yield 16 photons.

The additional photons over and above the original eight in this example are generated by the excess resonate energies caused by the interference of the wave properties of the matter and energy field components of the photon being transferred to the adjacent matter and energy fields of space.  This causes new photons with identical resonate patterns to be generated out of the matter and energy fields of space.

This defines the mechanism that explains and predicts the observations made by Mr. Feynman mentioned earlier regarding the simultaneous particle and wave properties of a photon in terms of the spatial properties "Shadows" associates with the energy of photons.  Because according to the “Shadows” quantum wave model of light, the interference of the resonate spatial properties of the “quantum wave packets” of 4 photons with 4 other photons can only generate integral energy variations between 0 to 16 times the energy of the original photons.

Some may question the above statement that a photon's energy can interact or transfer their resonate energies to the matter and energy fields of space to create additional photons with identical integral energies.

However there is considerable experimental evidence to indicate that this does occur in the form of electron scattering experiments.

On pages 90 thru 95 of Richard Feynman book “QED” he describes how the scattering of electrons generates photons with different vector or directional energies.

These photons generated in the electron scattering experiments describe in Richard Feynman’s book demonstrate that the energy associated with these electrons can interact with the matter and energy fields of space to generate additional photons that did not exist before the scattering took place.

This provides the experimental evidence to support the above statement that resonate energies associated with photons can interact with the matterenergy fields of space to create additional photons that were not present before the interaction took place.

“Shadows” postulates that space and all quantum particles are made up of the resonate oscillations of the matter and energy fields of space.

Therefore, according to the “Shadows” model, it would be possible for an electron or photon to interact with the matterenergy fields of space to generate the proper resonant factors needed to generate additional photons or quantum particles.

The equation in Chapter three of E=m*c*f also supports the "Shadows" hypothesis that photons can be generated out of the matterenergy fields of space because it defines the wave properties of the energy “E” of a photon terms of a vector quantity related to the amplitude of its spatial length and direction.

This makes it possible to analyze the path of individual photons between two reflective surfaces not only in terms of their wave properties but also in terms of the directional amplitude vector of their spatial properties, as Richard P Feynman did in his book "QED".

In Richard Feynman’s book "QED", he analyzed the process by which 4 photons are reflected from bottom surface of two pieces of glass in terms of the direction of their energy amplitudes.  When light is reflected from a single surface, the directions of amplitude energies of the reflected photons are randomly varying with respect to photons impacting the surface.  However, when photons are reflected from two surfaces the timing or direction of the energy amplitude can be synchronize between the top and bottom surfaces so they cancel or reinforce each other.  As a result 4 photons reflected form the bottom surface can cause as few as 0 photons or as many a 8 photon to arrive at the top surface.  As Richard Feynman pointed out in his book "QED", the time it takes a photon to move to a given point determines its directional energy amplitude because the time it takes a photon reflected from the bottom surface to reach the top surface depends on the distance between them.  When to directional energy amplitudes of the 4 photons reflected from the bottom surface are opposite to those that are impacting the bottom surface they will cancel and no photons reflected from the bottom surface will arrive at the top surface.  When the directional energy amplitudes of the photons reflected from the bottom surface are the same as to those that are impacting the bottom surface, they will add and 8 photons reflected from the bottom surface will arrive at the top surface.

The spatial and vector properties of the equation in Chapter three of E=m*c*f deriving the energy of a photon defines the mechanism responsible for the “redirection” of the energy amplitude of photons in terms of the resonate properties of the matter and energy field components of the mattercule.

In the equation E=m*c*f, the spatial amplitude and direction of the energy component of a photon is defined in terms of frequency and therefore varies sinusoidally with respect to time and direction.  Therefore, at certain times the directional spatial energy of two interfering photons will be in phase and reinforce while other times the will be out of phase and cancel.  Therefore, because the resonate energies of photon has spatial properties in can interacted with the mass and energy component of space to generate identical resonate pattern in the mass and energy component of space.  This will generate photons with energies equivalent to the original ones because the resonate patterns in the mass and energy components of space is what determines the energy of a photon.

Therefore, due to the resonate properties “Shadows” associates with the “quantum energy wave packet”, photons reflected from the two surfaces can interact with the matterenergy fields of space to generate integral resonates in space that are greater or less than the sum of the integral energies of the individual reflected photons.

Therefore the equation E=m*c*f which defines the energy of a photon also defines the mechanism that allowed Mr. Richard Feynman’s to analyze the process by which 4 photons are reflected from bottom surface of two surfaces in terms of the direction of their energy amplitudes.

Since 9-25-02