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We have shown throughoutÂ this blog and its companion book “The Reality of the Fourth *Spatial* Dimension” observations of our environment suggest that our universe is composed of a continuous non-quantized field of energy/mass.

However, there are several purely theoretical advantages to assuming this, which are not related to observations.

One is that it would allow physicists to theoretically define the quantum mechanical properties of energy/mass based on observations of a classical macroscopic world.

In the macroscopic world, a resonant system or “structure” is defined by oscillations in a continuous medium even though that medium is made up of particles called atoms.Â This is because the size of most resonant systems in the macroscopic world is so much greater than the size of atoms that make up their supporting mediums they can be treated as continuous.

Additionally we observe the energy in all macroscopic resonant systems is quantized because they will only resonate at frequencies that are a multiple or harmonics of their fundamentals frequency.

Particle physicists have made similar observations in that the energy of a particle like a photon is quantized and can only take on the integral energies associated with the equation E=hv

However, In 1924 Louis de Broglieâ€™s theorized all particles have the continuous properties of a wave.Â His theories were confirmed by the discovery of electron diffraction by crystals in 1927 by Davisson and Germer.

As mentioned earlier in a macroscopic world one can derive a resonant system in terms of the continuous properties of a wave even though it is made up of discreet components called atoms because the size of most resonant systems is so much greater they are.

Yet, according to Louis de Broglieâ€™s theory even the “smallest” possible particle, must have wave component.Â Therefore a continuous non-quantized medium must exists to support its wave energy because by definition the smallest possible particle cannot be subdivided into smaller ones.Â Hence the medium supporting its wave properties must be continuous.Â Â Additionally, the observation that a particle is made up of energy/mass indicate that it must also have a properties associated with it.

Therefore, one must assume the existence of a continuous non-quantized field of energy/mass to explain observations of the wave properties of particles observed in 1927 by Davisson and Germer.*Â *

But an even more significant reason for assuming its existence is that as was shown in the article “Why is energy/mass and energy quantized?” Oct 4, 2007 one can derive the quantum mechanical properties of energy/mass in terms of a resonant system or “structure” formed by a matter wave in continuous non-quantized field of energy/mass by extrapolating the laws of classical resonance in a three-dimensional environment to it.

Briefly the four conditions required for resonance to occur in a classical 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 would be meet by a matter wave in a continuous non-quantized field of energy/mass..

Its existence would define the substance or the oscillating medium supporting the matter wave 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.Â This would force a continuous non-quantized field of energy/mass to oscillate with the frequency associated with the energy of that event.

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.Â

Classical mechanics tells us that a resonant system can only take on the discrete or quantized energies associated with its fundamental or a harmonic of its fundamental frequency.

Therefore, one can theoretically derive the causality of the observations of particle physicists that energy/mass is quantized and can only take on the integral energies associated with the equation E=hv by assuming they are a result of resonant system generated by a matter wave in a continuous non-quantized field of energy/mass.

Additionally it also tells us why in terms of the physical properties four dimensional space-time or four *spatial* dimensions an electron cannot fall into the nucleus is because, as was shown in that article all energy is contained in four dimensional resonant systems. In other words the energy released by an electron “falling” into it would have to manifest itself in terms of a resonate system. Since the fundamental or lowest frequency available for a stable resonate system corresponds to the energy of an electron it becomes one of the fundamental energy units of the universe.

We also observe resonant systems in a macroscopic environment have boundaries* which are defined by the properties of their oscillating mediums and environment.*

The Standard model of particle physics treats particles as a dimensionless point in space.Â However due to advancements in observational technologies like the electron microscopic scientists can directly observe that they are three-dimensional objects with boundaries.Â Therefore, one must assume that a mechanism exists to give physical boundaries to those point particles.

The fact a resonant system in a continuous non-quantized field of energy/mass can define the discrete boundaries or quantized structure supports the assumption made in article “Why is energy/mass and energy quantized?” Oct 4, 2007 that the quantum mechanical properties of a particle is a result of a resonating system or “structure” formed by a matter wave in continuous non-quantized field of energy/mass.

Another observation that supports this conclusion is that physicists have discovered relativity few stable particles compared to the unstable ones.

Again, this is what one would expect if particles were composed of a resonant system in a continuous field of energy/mass because classical mechanics tells us a resonant system is only stable when it is oscillating at its fundamental or harmonic of its fundamental frequency.Â Therefore, there should be relatively few stable particles compared to unstable ones because there are an infinite number of frequencies that a continuous a medium can be made to oscillate at but only a few that will support resonance.

Additionally the observation that unstable particles decay into a few stable ones indicates that the properties of all particles may be related to the existence of a resonant system.Â This is because, observations made in the macroscopic world show it is possible to add or subtract almost any amount of energy from a resonant system creating very large number of systems each with a different energy.Â But these systems will lose or gain energy from their environment until they begin to vibrate or osculate at the resonant frequency or a harmonic of the resonant frequency of the supporting medium.

However, this is precisely what physicists observe when they add or remove energy from particles in particle accelerators.Â They can add or subtract virtually any quantity of energy to them.Â This results in the creation of a very large number of particles with different physical characteristics but similar to resonant systems in the macroscopic world these particles decay by losing or gaining energy from their environment until they have the energy of the resonant frequency or a harmonic of the resonant frequency of the medium supporting that resonance.

These similarities between the properties of classical resonant systems and quantum mechanical properties of energy/mass provide a theoretical basis for defining them in terms of a resonant system made up of a continuous non-quantized field of energy/mass as was done in the article “Why is energy/mass and energy quantized?“.

This demonstrates one of the purely theoretical advantages to assuming existence of a continuous non quantized form of energy/mass.

Later Jeff

Copyright Jeffrey O’Callaghan