Here is where I think we are headed

Some of this will be wrong, but its a start.
This is the atom, I have marked the Lucas four and three quant levels. I have also marked what I think are the charge vector, Cosh and the magnetic vector, Sinh.  Note: The magnetic vectors will be remapped by the odd zero set, so this diagram is more a schematic. The sinh is always a half angle off from the cosh, and, and the sinh always has odd zeros on its bounding circle. The Lucas numbers appear on the bounding circle for that quant level and goes to zero toward the proton center.  Lucas numbers are quant values of light.

The blue and yellows circles are the zero points of the Lucas Polynomial, with respect to what real and complex axis?  I think the axis will have to be relative to the dominant vector of radial motion.  I also am still confused about mapping this to a sphere, but I think Reimann sphere packing is on its way.

But lets continue anyway.  The zeros are spots where phase imbalance is zero!, they would be likely spots that the electron would appear, I think.  The half angle difference and the Lucas numbers result from the fact that unit spheres, the proton and electron, are finite, not point charges, and that is why we have magnetism vs charge. The magnetic is mostly tangent to the unit sphere, the charge vector perpendicular. But they are both made of light bubbles, the magnetic bubble having an odd set of zeros, that is why we think it is dipole.

The motion of the electron is out from the page, a cross product of the sinh and cosh vectors. The electron itself is composed of Higgs elements and trapped light, as are the rest of the atom, its all these two things. The electron will spiral in and out from the center, its momentum determined by the angle of the two vectors. In this chart, the electron bounced between the L4 and L3, driven by the half angle difference. The odd and even zeros will cause spiral in two dimensions.

The movement of the unit sphere follows the vector cross product until force is drained then reverses motion, so the electron climbs from L3 to L4, and back again. The light bubbles follow the reverse circuit.

And of course we would have the complementary motion in the quarks. This stuff is very vague to me, and a lot of work needs to be done here. The Lucas values are reusable at higher energy levels, and will deform as we see in existing orbitals.  This is mainly because the degrees of freedom for light are nearly orthogonal.  As the bounding circles warp into tear drops and rings, the zeros are redistributed, we get a remapping of the grid.  And the magnetic vectors will assume the normal pattern we are used to, being curved by the odd number of zeros.. 


But, no fields in this thing, just bunches of local bubbles packed in a sphere.