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Hi Alan,
It would interesting to see if both of our ideas can bring about a clear and concise model and explanation of the quantum mechanics at work in this area of celestial mechanics.
I understand that the intricacies of my work are a bit daunting on first impressions but you are obviously working on problems that I can model directly with my quantum theory of Gravitation.
Not quite sure if I follow what you mean by 'centre bodied cubic geometry' but based on my definitions you would be right in saying that any model of Matter using Cartesian co-ordinates (ie c^3) would deviate mathematically from a spherical [c^4] second squared co-ordinate system - but I hasten to add that if done properly they both should yield the same force vectors on the body involved.
The crux of Tetryonic QG is that the force of Gravitation [as historically modelled by Newton and in SR] is based on observations of the bodies concerned and not the real quantum mechanics that create the gravitational force between the bodies.
There are convergent [attractive] force vectors and divergent [interactive] force vectors that present to us as the net Gravitational force we observe, until all of these quantum interactions are accurately modelled there will always be 'perturbations' and disagreements with respect to accepted theory.
My work explains the quantum fields and forces responsible for 'Gravitation' but is beyond my abilities and time at present to develop a full computer model of the processes and present it.
Tetryonic's Unified equation is all you need, but you need experience in writing the 3D CAD models for the computer along with a good overall grasp of Tetryonic theory. [remember Garbage in - Garbage out]
Which brings me back to why I entered the competition - I am only one person with a clear, succinct answer to many of Science's questions - imagine what we can achieve when the whole World understands this geometry and starts using it.
I have attached my definitions of Spatial co-ordinate systems (wrt Energy propagation [c]) along with an accurate 3D Tetryonic model of Iron for you - hope it helps you in some way..
I am completing, what I hope will be, the final revision of my QG eBook as we speak and as soon as it is 'ready' I will release it and then I trust my explanations will become clearer for you and your work.Attachment #1: 2_Figure_01.03__Spatial_geometries_800x600.jpgAttachment #2: Figure_52.26__Iron_aufbau_800x600.jpg