Robert Moon's Atomic Model 1
1. Introduction
I am commenting upon the work of Dr Robert J. Moon’s in Classical Quantum Mechanics (CQM).
I am attempting to show connections between Dr Robert J. Moon’s Model and my Complex Quantum Mechanics (Complex QM).
My main connection is that it is possible to use Platonic Solids as force fields. I have already suggested that forces expand spherically in our 3D and cubically in 4D. So these just develop my hypergeometry in a logical and orderly manner.
2. Dr Moon’s Nuclear Model.
•Dr Moon’s model associates the number of
•He use 3D (three dimensional) model that are polygonal in nature with polygonal faces (Platonic Solids).
•I am only going to suggest a hypothesis here that - the Moon Model can be used with my hypergeometry of the higher dimensions.
•In the Moon Model there is no upper limit on the number of dimensions (as with Complex QM). That is if we do not connect his theory to the atomic structure of atoms. If we do then we have a fixed upper number of dimensions (connecting my theory with Dr Moon’s.
•If we assume, for now that there is a limit of say a 10 or twelve sided face on theses Platonic solids then this suggests the dimensions of 20D or 24D. However we can half this to 10D or 12D to agree with the mathematics of Quantum Mechanics (QM) mathematicians.
See figure "Moon's Model 1"
•I can do this in my hypergeometry because every odd numbered dimension is spherical or hyperspherical. Now if you consider our own 3D universe we can see evidence for 2D circles in a 3D spherical geometry. Therefore a sphere from our 3D will always translate into any higher odd numbered hyperspherical dimension without any great difficulty.
•This is not however true for the platonic even numbered dimensions.
•The Figure 2 - Palladium Nucleus is a simple case and therefore a good place to start. See figure "Moon's Model 2"
•Let us look at the cube and the octahedron these have faces of 4 and 8 sides respectively.
•Now although palladium does not have a geometry in reality that is platonic I suggest that this means that palladium is susceptible to influence of forces from 8D and 16D. Perhaps a better interpretation is that palladium can interact with forces from 8D and 16D.
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•I therefore anticipate that Dr Moon’s model for the twinned dodecahedra and fission (shown above) may represent some action in 10D (the faces being pentagons. It may imply that as the connection is along an edge then the presence of forces like this would be seen in 2D (one edge).
•Now not all polygonal structures like these are platonic some have faces composed of two polygons. The football is an example of combining pentagon and hexagonal faces. In this case it would suggest (and I am not sure if an atom or molecule like this exists but I am assuming it is true) that 10D or 12 D interaction is unlikely unless they BOTH occur together.
3. Higher Dimensional Waveforms
•Finally the dodecahedra shown above has pentagonal (five) sided faces but we need twelve of these. I would suggest that if the dodecahedra is spun it could create a 10D waveform with two phases per wavelength but those phases having a polygonal character.
•Care has to be taken here. There are different possible solutions. A 10D wave form may have twelve phases but more likely those phases are composed of twelve parts (see diagrams below).
•Again both the two types of waveform may probably exist in different situations. We simply do not have enough evidence yet to come to a conclusion on this aspect of my interpretation,
•In the above figure for Higher Dimensional 4D Waveforms I take the simplest case of a cube in 4D to base my case upon.
•If the cube can behave like this as a polygonal dimensional geometry then we have a case for applying similar waveforms for all the higher even numbered dimensions as shown with the example for the figure of Higher Dimensional 12D Waveforms.
•Notice that as we ascend the dimensions the waveform becomes more circular or sinusoidal in nature. This shows that a practical limit of 10 or 12 polygonal dimensions is natural as present String Theory suggests.
4. Conclusion
I have interpreted Dr Moon’s Model in my hypergeometry and Complex Quantum Mechanics not as a physical system but as a system for generating higher dimensional vectors. The most important feature of my interpretation is that it can sit along side present mathematical arguments for higher dimensional mathematical operations.
For the above waveforms to cover the Platonic solids in one revolution I suggest that we consider, say, the dodecahedron as having two opposite poles. The dodecahedric waveform would therefore spiral out from one pole to the ‘equator’ and thence spiral inwards to the opposite pole.
