It is shown that in electrodynamics there exist two mechanism of transferring a signal: (1) with the help of electromagnetic waves and (2) via the standing waves of the own field of a charged particle. In the former case, the transfer of a signal is carried out by quanta a light, and in the latter case, it is of a purely wave character and can occur instantaneously. The existence of instantaneous signals necessarily follows from the laws of electrodynamics as well as from the most general considerations. The results of the paper do not contradict the special theory of relativity because the ban of superluminal transfer of a signal, following at the first sight from kinematic reasons, is lifted in a natural way by the detailed consideration of dynamics of the process that gives rise to the occurrence of faster-than-light excitations. The basic possibility of superluminal information transfer follows from the fact that the charged self-acting particles become spatially extended objects and, therefore, the events, separated by space-like intervals, cease to be physically independent. The quantum theory of self-organization of electrodynamic systems indicative of the possibility of superluminal transfer of a signal with the help of the own field of a particle can serve as the basis for creation of essentially new means and systems of communication.