  INTEGRAL HYPERBOLIC DYNAMICS OF PARTICLES IN THE MINKOWSKI SPACE-TIME
2015jlv | S.S. Kokarev // Research Institute of Hypercomplex Systems in Geometry and Physics, Friazino, Russia; RSEC Logos, Yaroslavl, Russia, geom2004@mail.ru, logos-center@mail.ru
The paper presents an action of an interacting particles system based on a hyperbolic-spherical-symmetric decision of a wave equation in the Minkowski space-time, space-time analog of the Colomb’s law, and the superposition law. The corresponding motion equations are integro-differential, and their notation according to the Newton’s second law in the relativistic form reveals the dynamic nature of a mass: it becomes a result of a cooperative effect of a part of hyperbolic interaction between the particle and its environment (the Mach’s principle). The author analyses some special cases of the hyperbolic self-action of a solitary world line and interactions between a pair of particles and parallel world lines.
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