We have shown throughout The Road to Unification that observations of our environment suggest that space is composed of a continuous non-quantized field of energy/mass and four *spatial* dimension instead of four-dimensional space-time.
The properties of a quantum "field" is one of those observations.
On page 23 of Gordon Kane’s book "Supersymmetry" he explains how physicists learned that they could simplify the calculations of the forces involved in planetary motion by assuming or imagining the existence of a continuous gravitational field. They defined this field in such a way that if another planet were put at any point in that field the resulting force between any other planet would be exactly the Newtonian one. This simplified the calculations of planetary motion because it allowed them to isolate and analyze the forces of one planet on another instead of trying to analyze the forces exerted on a planet by all of the others at the same time.
Originally, many thought this was just a trick to simplify calculations.
However, as Gordon points out in his book Michael Faraday, while researching electromagnetism he discovered that a field has real physical properties and therefore was able to convince others that is was more the just a calculating device.
Quantum field theory uses this concept of a field because it defines electromagnetic force in terms of the exchange of photons between charged particles however as reported in the America Institute for Physics Arthur Compton realized they should not be thought of as "little billiard balls" but as field quanta or chunked ripples in a field that "look like" particles.
Therefore, as the name implies Quantum Field Theory assumes that a particle’s properties are a result of "chucked ripples" in a volume.
But this presents particle physicists and the proponents of Quantum Field Theory with a very real problem because they assume all forces are transmitted by the discontinuous properties of particles while at the same time they define their properties in terms of "ripples" in a field that “look like†particles. However, a field by definition is made up of a continuous medium. Therefore, the force they associate with particles is actually mediated by "ripples" in a continuous field, which contradicts their assumption that all forces are mediated by discontinuous particles.
However, we may be able to develop a better understanding of the makeup of a volume containing this field by examining the environment required to generate a particle instead of looking at the mathematical explanations provided by Quantum Field Theory.
Its most obvious physical property is that it is continuous because Quantum Field Theory define particle interaction term of "ripples" or a "position-space wave function" moving in space. This means that each point in a volume containing them must be connected to every other point in a volume to allow the "ripples" Quantum Field Theories associated with a particle to propagate in it.
In the article "Why is mass and energy quantized?" Oct. 4, 2007 it was shown that it is possible to define the quantum mechanical properties of energy/mass by extrapolating the laws of classically resonance in a three-dimensional environment to one consisting of a continuous non-quantized field of energy/mass and four *spatial* dimensions.
Briefly it showed that environment would satisfy the four conditions required for resonance to occur, 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 matter wave 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, the oscillations caused by such an event would serve as forcing function allowing a resonant system or "structure" to be established in a continuous field of energy/mass.
Classical mechanics tells us the energy of a resonant system can only take on the discrete quantized values associated with its resonant or a harmonic of its resonant frequency.
However, these resonant systems in a continuous non-quantized field of energy/mass have all the properties of a quantum field in that they are made up of discrete quantized units of that field.
This cannot be done in an environment consisting of four dimensional space time because time is only observed to move in one direction forward therefore it could not support the bi-directional movement required to establish resonance,
This shows that it is possible to explain and predict the discontinuous properties of a quantum field by extrapolating the laws of classical resonance to a continuous non-quantized field of energy/mass and four *spatial* dimensions.
Later Jeff
Copyright 2009 Jeffrey O’Callaghan