The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers

Authors: Francesco Catoni , Dino Boccaletti , Roberto Cannata , Vincenzo Catoni , Enrico Nichelatti , Paolo Z
Publisher: Birkhäuser
Edition: 1
Publish Year: 2008
ISBN: 9783764386139


Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.