Geometry of Minkowski Space-Time

This book provides an original introduction to the geometry of Minkowski spacetime. A hundred years after the spacetime formulation of special relativity, it is shown that the kinematical consequences of special relativity are merely a manifestation of spacetime geometry.

Provides an original introduction to the geometry of Minkowski spacetime Gives concise guidance to solving problems of relativistic kinematics Contains problems of relativistic kinematics Solves the "Twin Paradox" for all kinds of motion Extensive use of hyperbolic and complex numbers Complete formalization of the kinematics in Minkowski space-time Shows that the kinematical consequences of special relativity are merely a manifestation of spacetime geometry Gives understanding of gravity as a manifestation of the curvature of spacetime Includes supplementary material: sn.pub/extras

Contenu
Introduction.- Hyperbolic Numbers.- Geometrical Representation of Hyperbolic Numbers.- Trigonometry in the Hyperbolic (Minkowski) Plane.- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane.- The Motions in Minkowski Space-Time (Twin Paradox).- Some Final Considerations.