Mach's Principle in the Hoyle-Narlikar Theory and in the Unary Relational Approach

In view of development of unary relational approach to description of physical interactions theories of direct interparticle action are discussed, that include the Fokker-Feynman-Wheeler electrodynamics, the theory of direct interparticle gravitational interaction, and the Hoyle-Narlikar theory of gravitation. These theories have several resemblances, main of which is implication of Mach's principle in them, according to which there is a relation between distribution of particles in the universe, their masses and gravitation constant. In the Hoyle-Narlikar theory and in the unary relational approach free action of a chosen particle is represented in the form of its interaction with the rest part of the whole universe. In present work correspondence between the Hoyle-Narlikar theory and the relational theory is set up, relation between their parameters is found, differences between these theories are pointed out, and relation between Mach's principle and cosmological coincidences is discussed.

Mach's principle, direct interparticle action, gravitation, electrodynamics, Hoyle-Narlikar theory, relational concept in physics, unary relational approach, cosmological coincidences