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Checkerboard Board Model of the Nucleus Presented APS April Meeting Jan 29, 2017 Washington D.C. By Theodore M. Lach The Checkerboard model of the Nucleus has been in the public domain for over 20 years. Over those years it has been described by nuclear and particle physicists as; cute, ``the Bohr model of the nucleus'' and ``reminiscent of the Eightfold Way''. It has also been ridiculed as numerology, laughed at, and even worse. In 2000 the theory was taken to the next level by attempting to explain why the mass of the ``up'' and ``dn'' quarks were significantly heavier than the SM ``u'' and ``d'' quarks. This resulted in a paper published on arXiv.nuclth/0008026 in 2000, predicting 5 generations of quarks, each quark and negative lepton particle related to each other by a simple geometric mean. The CBM predicts that the radii of the elementary particles are proportional to the cube root of their masses. This was realized Pythagorean musical intervals (octave, perfect 5th, perfect 4th plus two others). Therefore each generation can be explained by a simple right triangle and the height of the hypotenuse. Notice that the height of a right triangle breaks the hypotenuse into two line segments. The geometric mean of those two segments equals the length of the height of this characteristic triangle. Therefore the CBM theory now predicts that all the elementary particles mass are proportion to the cube of their radii. Therefore the mass density of all elementary particles (and perhaps black holes too) are a constant of nature. 
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Checkerboard Board Model of the Nucleus Presented April 2016 APS meeting in Salt Lake City By Theodore M. Lach 
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The Structure of the Nucleus Checker Board Model  Presentation Theodore M. Lach Presentation at the 2014 APS April meeting April 7th. Savanna Ga. 
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The Structure of the Nucleus Checker Board Model  Presentation Theodore M. Lach The power point presentation was first presented
at: Argonne Nat. Lab. July 2226th 1996 at the conference, "Nuclear
Structure at the Limits" and again at the Shanty Creek conference in
1998 in upper Michigan, and again in 2000 at Nuclear Structure 2000
conference at East Lansing Michigan MSU.

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Checkerboard Structure of the Nucleus Infinite Energy issue 30 2000 
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Masses of the SubNuclear Particles
Nuclth/0008026 @ http://xxx.lanl.gov Updated Version July 4, 2003 
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"The 2D Symmetry of Nature"
The Proton the smallest Quantum Vortex, April 11, 2005The structures of nature and the strong nuclear force 
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Bag Model of the Nucleon Standard QCD model 
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Theodore Lach, Bell Labs Fellow  168 KB  140 KB  
Suggestion of a 17 keV neutrino 
