[ny2292000]

With respect to the x-Particles, they are the equivalent to the quark composition of matter. In the HyperGeometrical Universe Standard Model, I propose an equivalence between quark composition and the axis lengths of the four-dimensional ellipsoids (X-Particles). This means that structured collision (non-spherical cross sections) can be recovered using X-Particles. It also means that all particles are just different states of particles X and that particle creation is just non-linear hadronic interaction of solitonic deformations of spacetime in a way that is obvious similar to non-linear optics. This means that hadronic laser effect or coherent nuclear reactions are easy to create. The theory is also provides the means to control gravitation.

By the way, internal degrees of freedom (spin, color, strangeness etc) correspond to rotation around different axis of this four-dimensional X Particle. All internal degrees of freedom are externalized by this theory.

Since I consider particles as states of matter and since the theory explains magnetism using the simple four-dimensional wave interference process, there is never a prediction of a magnetic monopole in it.

In fact, magnetism is has an amazing explanation. Waves generated by traveling particles suffer Lorentzian anisotropic compression. This means that they are compressed in the direction of relative motion and normal perpendicular to that motion. Electrons and protons have different quark composition and thus different amplitudes for their waves (contrary phases).
In an infinitesimal current element, the electrons are in motion thus having their four-dimensional waves Lorentzian compressed while the protons waves show no compression. This means that each proton/electron pair has a net dipole. The resulting overall wave has polarity (anisotropy) and that is the origin of magnetism. Notice that fermions (spin 1/2) particles will reverse polarity at each de Broglie expansional step of the Universe. The expansion along the radial (fourth-dimension) direction is quantized in de Broglie steps.

Thanks,

MP