We have shown throughout "The Imagineer’s Chronicles" that observations of our environment suggests space is composed of a continuous non-quantized form of mass and four *spatial* dimensions instead of four-dimensional space-time.

However, one of the strongest arguments that can be made for both the existence of a continuous non-quantized form of mass and four *spatial* dimensions is that it will allow one to develop a Classical or "common sense" explanation for many of the seemly nonsensical observations regarding our universe. 

(Common sense will be defined in a later article.)

For example, a photon is entity that has the properties of both wave and a particle.  However, how can it have both of these properties at same time?

The Wave-Particle duality of matter

The article "What is electromagnetic energy" Sep 27, 2009 showed it is possible to derive the electromagnetic properties of a light in terms of a displacement cause by a matter wave moving on a "surface" of a three dimensional space manifold with respect to a fourth *spatial* dimension.

However, this allows one to derive the electromagnetic properties of a photon in terms of the laws of classical wave mechanics.

For example, a wave on the two-dimensional surface of water causes a point on that surface to be become displaced or rise above or below the equilibrium point that existed before the wave was present.  A force will be developed by the differential displacement of the surfaces, which will result in the elevated and depressed portions of the water moving towards or become "attracted" to each other and the surface of the water.

Similarly a matter wave on the "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension would cause a point on that "surface" to become displaced or rise above and below the equilibrium point that existed before the wave was present on that "surface".

This means according to classical wave mechanics a force will be developed by the differential displacements of the "surfaces" of three-dimensional space.

It was show this force is responsible for electromagnetic wave properties of light.

However, as was shown in the article "Why is mass and energy quantized?" Oct 4, 2007 it is also possible to derive the particle properties of light in terms of classically resonant system or "structure" generated by matter wave moving on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

There are four conditions required for resonance to occur in a classical Newtonian environment, an object, or substance with a natural frequency, a forcing function at the same frequency as the natural frequency, the lack of a damping frequency and the ability for the substance to oscillate spatial.

The existence of four *spatial* dimensions would give a continuous non-quantized mass component of space the ability to oscillate spatially on a "surface" between a third and fourth *spatial* dimensions thereby fulfilling one of the requirements for classical resonance to occur.

These oscillations would be caused by an event such as the decay of a subatomic particle or the shifting of an electron in an atomic orbital.  This would force the "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension to oscillate with the frequency associated with the energy of that event.

However, these oscillations in a continuous non-quantized form of mass caused by such an event could generate a resonant system or "structure" in a continuous non-quantized form of mass. 

The resonate system or "structure" generated by a matter wave moving at the speed of light on a "surface" of a three dimensional space manifold with respect to a fourth *spatial* dimensions is responsible for the particle properties of light associated with a photon.

Therefore, the reason why a photon can have the properties of both a particle and a wave has a common sense or classical explanation in terms of a resonate system generated by a matter wave moving on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

This is not possible if one defines the universe in terms of four-dimensional space-time because time is only observed to move in one direction forward and therefore could not support the bidirectional motion required to generate a classically resonating system.

Later Jeff

The "Shadows" of four spatial dimensions

Copyright 2007 Jeffery O’Callaghan

2 Comments to “The Photon: a matter wave?”

1. ArianaFeni — 05/13/2009 @ 9:47 am
   

   I really very liked this post. Can I copy it to my blog? Thank you in advance. Sincerely

2. theimagi — 05/13/2009 @ 7:43 pm
   

   Dear Ariana

   Please email me by clicking on the link in the upper left hand corner or sending a message to the_imagineers@yahoo.com; an_imagineer@theimagineershome.com

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