Open AccessHyperbolic numbers as Einstein numbers
Author(s) -
Dmitry S. Kulyabov,
Anna V. Korolkova,
Migran N. Gevorkyan
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1557/1/012027
Subject(s) - einstein , theory of relativity , extension (predicate logic) , special relativity , field (mathematics) , speed of light (cellular automaton) , mathematics , einstein equations , general relativity , theoretical physics , composition (language) , physics , calculus (dental) , pure mathematics , classical mechanics , computer science , philosophy , algorithm , medicine , dentistry , programming language , linguistics
In the special theory of relativity (SR) it is usual to highlight so-called paradoxes. One of these paradoxes is the formal appearance of speed values grater then the light speed. In this paper we show that most of these paradoxes arise due to the incompleteness of relativistic calculus over velocities. Namely, operation over speeds form a group by composition. In this case, the extension to the field is usually carried out using non-relativistic operations.