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Virtual proper time in the problems of eliminating the infrared catastrophe and of the field origin of the electron mass and self-energy in classical electrodynamics

With inclusion of the virtual proper time in the metric of the physical Minkowski space we pass to the four-dimensional bimetric space-time. Now a complete description of the occurring physical processes includes both physical (observable) and virtual (unobservable) objects that enter in the physical expressions. In classical electrodynamics this conversion leads to the appearance of the virtual scalar-electric field that complements the physical electromagnetic field and is a massive in the presence of sources. This allows to eliminate the infrared catastrophe and to proof the field origin of the virtual (bare) electron mass and self-energy. With inclusion of the virtual proper time in the classical quantum theory we obtain the single-particle wave Dirac equation for which the electron wave function retains the simple probabilistic interpretation. In the single-particle Dirac theory the virtual scalar-electric field shifts the physical energy levels for the hydrogen atom in an external field and this leads to two additional amendments.