The Role of "Action-at-a-Distance" in the Electro-MagneticField Radiation Produced by an Accelerated Charge

Introduction The problem of interaction at a distance was raised for the first time more than 300 years ago by Newton in the first edition of his book, Mathematical Principles of Natural Philosophy, and has not lost its relevance today (see e.g. [1]). The question as to the choice of one or another conception of interaction at a distance, namely---Newton instantaneous long-rang interaction (NILI) or Faraday-Maxwell short-rang interaction (FMSI)---seems finally to have been resolved in favour of the latter. But lately, many authors (see e.g. [2-4,6,7-12]) have repeatedly resorted to NILI, a concept which was given up by contemporary physics long ago. The necessity of introducing NILI (or, at least, making allowance for it) is based either on the possible incompleteness of Maxwell theory [3,12] or possible inaccuracies of the main theses of Special Relativity Theory (SRT) [2,6]. At the same time, a number of authors have indicated an incompleteness in Maxwell theory without referring