Dynamic Field of the Electron

We continue the discussion of the internal structure of elementary particles based on the earlier proposed generalized electrodynamic Maxwell equations. It is assumed that the variety of elementary particles is defined by a complex vector wave function dependent on space-time coordinates. In the general case, the wave function separates into components that are constant in time (the static field) and nonconstant in time (the dynamic field). Previous works have studied the nature of the static field. In particular, it was shown that far from the center of the particle, the electric field is much larger than the magnetic field and asymptotically tends to Coulomb’s law. On the other hand, close to the center of the particle, the field changes its nature. In the current work, we study the dynamic field. Due to the difficulty of the problem, we study a simplified spherically symmetric model. Far from the center of the particle, we obtain an analytic solution and show that the wave function decays exponentially. On the basis of this analysis and the accompanying discussion, we propose that inside a particle and within small distances to it, the generalized Maxwell equations describe a unified field that includes gravity. For large objects, gravity is described by Einstein’s general theory of relativity, which is based on classical concepts including the energy-momentum tensor, the interval, Riemannian geometry, extremals, etc. For small objects (e.g., elementary particles), the situation seems to be different, and hence, despite numerous efforts, a satisfactory theory for them has not been formed using Einstein’s theory. To a certain degree, from our point of view, this resembles the situation that arose upon the comparison of classical and quantum mechanics.