Mathematical Modelling for Electromagnetic Fields Equally Polarized in Four Directions

Abstract: There are neither longitudinal nor transverse (globally) waves, because the wave front can change its direction and what was longitudinal will become transverse after turning. Therefore, we pass from a globally transverse EM field to fields equally polarized in four directions: longitudinal, two transverse and "temporal". What is significantly new in the model: there is no scalar potential; instead of a light cone, there is an ellipsoid, which at v ≥ c turns into a two-cavity hyperboloid (as with the trajectories of celestial bodies in classical mechanics: closed elliptical orbits at the second cosmic velocity ~ 11.2 km/s turned into open hyperbolic ones).