A.P.Yefremov, "Structured relativistic particle, helix-type Minkowski diagram, and "more general" relativity" Gravitation & Cosmology, 2014, V.20, No.3, pp.226-232|
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.
Dear Dr. Yefremov,
Your article Structured relativistic particle, helix-type Minkowski diagram, and "more general" relativity has just been published and is available as 'Online First' on SpringerLink:
It is fully accessible to all users at libraries and institutions that have purchased a SpringerLink license. If your article is published under one of our Open Access programs, it will be freely accessible to any user.
As an 'Online First' article, your paper is fully citable even before the journal's full issue has been compiled! Your article can be cited by its unique Digital Object Identifier (DOI) 10.1134/S0202289314030165 in the following form: Author, Journal Title, Year, DOI
Later on, after inclusion of your article in the paginated journal issue, please continue to use the DOI alongside the usual citation details in order to enable readers to easily find the article in print and online.
We encourage you to forward this email to your co-authors and mention your article and its DOI on your website or your social media profiles. Thank you again for publishing with Springer.
We look forward to your future contributions!
Your Springer Marketing Team
read the paper