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Structured relativistic particle, helix-type Minkowski diagram, and “more general” relativity

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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References

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Correspondence to A. P. Yefremov.

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Based on a plenary talk given at the 11th International Conference on Gravitation, Astrophysica and Cosmology of Asia-Pacific Countries (ICGAC-11), October 1–5, 2013, Almaty, Kazakhstan.

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Yefremov, A.P. Structured relativistic particle, helix-type Minkowski diagram, and “more general” relativity. Gravit. Cosmol. 20, 226–232 (2014). https://doi.org/10.1134/S0202289314030165

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  • DOI: https://doi.org/10.1134/S0202289314030165

Keywords

  • Relativistic Particle
  • Logical Line
  • Geometric Potential
  • Helix Line
  • Proper Angular Momentum