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IHEP 96 - 15 (in English)
S.N. Sokolov
Relativistic Mechanics with Reduced Fields
Protvino, 1996.- p.14, refs.:24.


A new relativistic classical mechanics of interacting particles using a concept of a reduced field (RF) is proposed. RF is a mediator of interactions the state of which is described by a finite number of two-argument functions. Ten of these functions correspond to the generators of the Poincare group. Equations of motion contain the retardation of interactions required by the causality principle and have form of a finite system of ordinary hereditary differential equations. RFs may be considered as generalizations of ordinary classical fields and may enter equations of motion together with electromagnetic field. Interaction with RF may go without the radiation of RF, so RF may mediate relativistic elastic interactions of particles.


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