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2014-11-07
A.P.Yefremov, "Structured relativistic particle, helix-type Minkowski diagram, and "more general" relativity" Gravitation & Cosmology, 2014, V.20, No.3, pp.226-232
DOI: 10.1134/S0202289314030165
Abstract
A model of a 3D classical particle built up of micro-scale spinor fragments, hence structured, is proved sufficient (demands no additional postulates) to generate a theory of relativistic motion, provided the velocity of light in vacuum is the speed limit. In this case, the particle's structure endows a mechanical action with a clear geometric sense and allows for derivation of a Lagrangian function of the same form as in special relativity. But the graphic image of motion becomes a 3D helix instead of a 4D space-time world line. A forced distortion of the helix line (curved and compressed) results in emerging of variable metric components thus leading to an equation of particle motion under the influence of a geometric potential, an equation identical to that of 4D geodesic. The logical line of the theory is traced in detail.
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