Hyperbolic and Circular Trigonometry and Application to Special Relativity

Details Hyperbolic and Circular Trigonometry and Application to Special Relativity Hyperbolic and Circular Trigonometry and Application to Special Relativity

2010-02-25

arxiv.org/abs/1002.4728v1

Physics

Mathematical Physics

Scientific paper

We discuss the most elementary properties of the hyperbolic trigonometry and show how they can be exploited to get a simple, albeit interesting, geometrical interpretation of the special relativity. It yields indeed a straightforword understanding of the Lorentz transformation and of the relativistic kinematics as well. The geometrical framework adopted in the article is useful to disclose a wealth of alternative trigonometries not taught in undergraduate and graduate courses. Their introduction could provide an interesting and useful conceptual tool for students and teachers.

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