Alexey Orlovsky ,

"Such a description could be of significant importance, in particular, for the theory of space-time quantization."

How do you expect that magnetic fields actually work in space-time?

If you "think" in magnetic fields instead of moving electric fields, it will be hard to realize what's really going on in space-time.

May-be, it is helpful to realize that those forces, which we usually assign to "magnetics", actually are the relativistic effect of moving charges, i.e., of moving electrical fields:

Preprint Magnetic Field is Relativistic Effect of Changing Electric F...

Nevertheless, in the very moment when you explain "charge" as spiraling propagation of voltage waves from the charged particle, you come very near to space-time with your "vortices"-idea, but actually as voltage spirals, not as a "stack" of rings of magnetic field lines, which just are a product.

Thus, you immediately can see, that "secondary" magnetic spirals cannot exist, because there is no charged particle which could generate them.

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"Space-time quantization"

At what level do you expect this quantization? At particle level, i.e., above Higgs-field energy? Or at Planck-level?

In asking this question, I had in mind, first of all, the well-forgotten approaches of Maxwell from his early works on the lines of force, as well as Helmholtz from his theorems on vortex motion. But there are also modern works close to this topic. For example,

M. EL Farragui et al. Newtonian annular Poiseuille and Couette flows with dynamic wall slip // European Journal of Mechanics / B Fluids 103 (2024) 136–144