Summary of the Relevant Facts
Let me summarize what has been stated:
A. Previously a number of proposals have been made to explain periods found in the sunspots that relate to planetary motions and alignments. This is a new proposal different from tidal or COM motion.
B. This proposal depends on the fact that horizontal light is bent twice as much by gravity in GR than in Newtonian physics. This means that a mixture of matter and contained radiation falls at a different rate to pure non-relativistic matter.
C. I think that the relativistic component of the mass of matter also has this doubling factor, but that is not perfectly clear. The only direct statements on this are by Birkhoff from the 1920s.
D. Because the solar interior has a larger proportion of radiation (and relativistic mass content) it is more strongly affected than the surface where there is a much smaller proportion.
E. The acceleration on the Solar core tries to move the core relative to the surface. This results in a convection pattern which has a toroidal structure.
F. Because of solar rotation, the acceleration component in the plane of the Solar equator is cancelled out over a solar rotation. This leaves only the N-S component.
G. The direct calculation of the planetary forces and the observed sunspot numbers are not strongly correlated. However Fourier analysis shows they have common cycles periods present. The cycles due to pairs of gas giant planets (which have the largest expected effect) having alignments show that the nearer the period is to 10.5 years, the stronger the amplitude in the sunspots is compared to the amplitude in the planetary forces.
H. If an additional assumption is made that there is some natural resonance of the Sun at 10.5 years, then the planetary forces can be used to calculate the sunspot cycle with a correlation of r = 0.66 over a few centuries.
The fact that a final result is achieved that is this good indicates that the whole method and logic are essentially sound.
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