Gravitational interaction in the relational approach

摘要

We develop the relational approach to the description of electromagnetic and gravitational interactions on the basis of the action-at-a-distance concept. The latter is an alternative to the short-range interaction concept used both in general relativity (in the geometric approach) and in field theory. It is shown how to pass on from the theory of two systems of relations (the space-time and current ones) to the Fokker-Feynman theory of direct particle interaction. In the framework of the generalized relational theory, a unified theory of the gravitational and electromagnetic interactions is built, in which gravitation is induced by electromagnetism. It is shown that these two kinds of interaction and manifestations of Mach’s principle are induced by minors of a unique 5 × 5 matrix of current relations.