Article citationsMore>>

Giulini, D. (2006) Algebraic and Geometric Structures in Special Relativity. In: Ehlers, J. and Lämmerzahl, C., Eds., Special Relativity, Lecture Notes in Physics, Vol. 702, Springer-Verlag, Berlin, Heidelberg, 45-111.
https://doi.org/10.1007/3-540-34523-X_4

has been cited by the following article:

• TITLE: The Vertical Projection Model of Hyperbolic Space and Geometric Illustration of Special Relativity

  AUTHORS: Weiyu Luo

  KEYWORDS: Lorentz Transformation, Einstein Velocity Addition, Hyperbolic Space

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.1, January 25, 2024

  ABSTRACT: In this article, new visual and intuitive interpretations of Lorentz transformation and Einstein velocity addition are given. We first obtain geometric interpretations of isometries of vertical projection model of hyperbolic space, which are the analogues of the geometric construction of inversions with respect to a circle on the complex plane. These results are then applied to Lorentz transformation and Einstein velocity addition to obtain geometric illustrations. We gain new insights into the relationship between special relativity and hyperbolic geometry.