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

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. © 2014 Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
3
Язык
Английский
Страницы
226-232
Статус
Опубликовано
Подразделение
-
Номер
-
Том
20
Год
2014
Организации
  • 1 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Ключевые слова
-
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4904/