# Gravitational interaction in the relational approach

*Yu.S. Vladimirov*^{1}

(1) Department of Theoretical Physics, M.V. Lomonosov Moscow State University, 119991, Moscow, Russia

### Abstract

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 the Focker-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.

### References

- A. D. Fokker, Ein invarianter Variationssatz fur die Bewegung mehrerer elektrisher Massenteilichen, Z. Phys. 58, 386-393 (1929).
- J. A. Wheeler J.A. and R. P. Feynman, Interaction with the absorber as the mechanism of radiation, Rev. Mod. Phys. 17, 157-181 (1945).
- Ya. I. Granovskii and A. A. Pantiushin, On the relativistic theory of gravity, Izv. Akad. Nauk Kaz. SSR, ser. fiz.-mat., 1965, No. 2, pp. 65-69.
- Yu. S. Vladimirov and A. Yu. Turygin, Theory of Direct Particle Interaction (Energoatomizdat, Moscow, 1986).
- Yu. I. Kulakov, Physical Structures Theory (Moscow, 2004).
- Yu. S. Vladimirov, Foundations of Physics (BINOM [Laboratory of Basic Knowledge], Moscow, 2008).
- G.G. Mikhailichenko, Mathematical Formalism of the Physical Structures Theory (Gorno-Altaisk Univ. Press, Gorno-Altaisk, 1997).
- A. D. Sakharov, Scientific Works (TsetrKom, Moscow, 1995).
- P. West, Introduction to Supersymmetry and Supergravity (World Scientific, 1986).
- Yu. S. Vladimirov, Geometrohysics (BINOM [Laboratory of Basic Knowledge], Moscow, 2005).
- F. Hoyle and J. Narlikar, Action at a Distance in Physics and Cosmology (W.N. Freeman and Co., San Francisco, 1974).

For more information about this paper please visit Springer's Home Page of this paper.

Back to The Contents Page