Brioschi 16-Spinors and Photons as Solitons in the Skyrme—Faddeev Chiral Model

Following Einstein’s idea of representing particles as solitons, i.e., clots of some nonlinear universal field, the Brioschi 16-spinors are introduced since they prove to be well suited for the role of this fundamental field. Taking into account the principle of spontaneous symmetry breaking as the foundation for the stability of particles as topological solitons, the 16-spinor realization of the Skyrme–Faddeev chiral model is suggested. Within the scope of this model, it is possible to describe photons as solitons, the interaction with electromagnetic and gravitational fields being included. The existence of asymptotically exact soliton solutions to the equations of motion is proven, with the special large parameter \(\tau\) being introduced.