an helix will be of this kind and also a positive with and negative helix of the same pitch inside would also be of this kind.

About 6 years ago I started with the same logic as you, but after finding all the silly conceptual errors in QM/QED,4 potential I decided to forget all classic solutions as after 100 years of no success the probability to have it is 0.000000000000000000000000000x...

Further Mills approach did deliver some new reasoning that sadly also Mills did not understand. Like the magnetic energy of the e-p bond that falls out as it is already is given by the reduced mass. So he failed to understand that magnetic energy is not just a radial effect its a cross product of 2 dimension...

The final SO(4) physics solution is damn simple the classic one Mills like is also exact. But today the data inside the NIST database has been spoiled by QED followers that believe their model has some value to fudge experimental data...

I recommend to go back to mechanics and study force free coupled rotators something the US army after WWII confiscated as war prey and locked it in for military use only...

All allowed, symmetric solutions for coupled mass leads to toroidal energy surfaces certainly not spheres as QM simply has forgotten the second spin axes.

But if particles only would have 2 spin axes our matter would behave quite strange when you e.g. follow a curved path. So by simple logic reasoning you ultimately understand that matter must have >= 3 rotations. Hence the dimensionality of matter is at least 4D without time.

As I wrote this already many times just the conclusion: The first allowed surface for mass is the Clifford torus. Its a stable minimal Lagrangian (with helical paths homogeneous flux). Why all the idiots doing physics for the last 100 years failed to understand that e.g. S^{3} or S^{2} are not stable minimal Lagrangians is astonishing.

So I can only repeat myself once more. Do not waste your live time with last century's crap.