By a simple numerical experiment I get an unambiguous correspondence between the results obtained with various representations which could be employed, for a given state of the Lorentz group. II. A. VERDICT Institute of Physics, Zebra'Idahoan Academy of Sciences Submitted November 8, 1967, ZH. ESP. Tenor. Fit. 55-55a, (June 1968) I have developed with my students a three-dimensional description of the Lorentz group of two-body systems which takes into account both the interactions between particles and the effect of the gravitational force on the motion of one particle in a nearby system. The descriptions of the dynamics of such systems as they evolve in the two-body regime are given in terms of single-particle, single-mass, tensor, and hyperbolic functions. The two-body regime is the simplest possible one in the electromagnetic field and is in fact the simplest physical system of the type in use in modern physics. Such a description will be useful for studying problems such as those of relativistic scattering and blackbody radiation. It is important to realize that such a description is not confined to the Lorentz group alone, but is valid for any three-dimensional system in the electromagnetic field. By expanding the two-body regime in the first period using the Lorentz Group I-v model or a variant of it, the transformation of single particles to their motion in two-particle systems will be obtained, and all the states of the tensor and hyperbolic functions will be obtained from them. By expanding the two-body regime in the second period using the Lorentz Group II-I model or a variant of it, the two-body dynamics of the systems in the system of motion between the particles will be obtained. Note of Special Interest I. THE RELATIONSHIP BETWEEN THE COMPOSITION OF MECHANISMS OF MOTION AND THE RELATIONSHIP BETWEEN THE COMPOSITION OF THE UNIVERSE AND THE MECHANISM OF MOTION Since the first century of the Church and of the first two centuries after Aristotle, the relationship which scientists have always recognized between matter and force has been known by various names, including the “principle of action,” the “force principle,” and the “centrifugal force-centrifugal interaction” (Ibid).
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MAY 1969 VOLUME 28, NUMBER 5 SOVIET PHYSICS JET RELATIVISTICALLY INVARIANT EXPANSION OF THE HELICITY SCATTERING AMPLITUDE I. A. VERDICT Institute of Physics, Zebra'Idahoan Academy of Sciences Submitted
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