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The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

  • Francesco Catoni
  • Dino Boccaletti
  • Roberto Cannata
  • Vincenzo Catoni
  • Enrico Nichelatti
  • Paolo Zampetti

Part of the Frontiers in Mathematics book series (FM)

About this book

Introduction

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.

Keywords

Lorentz surfaces Matrix Minkowski space Minkowski space-time gauss differential geometry hyperbolic numbers hypercomplex numbers special relativity twin paradox

Authors and affiliations

  • Francesco Catoni
    • 1
  • Dino Boccaletti
    • 2
  • Roberto Cannata
    • 3
  • Vincenzo Catoni
    • 1
  • Enrico Nichelatti
    • 3
  • Paolo Zampetti
    • 3
  1. 1.RomaItaly
  2. 2.Dipartimento di MatematicaUniversità di Roma “La Sapienza”RomaItaly
  3. 3.C.R. CasacciaENEARomaItaly

Bibliographic information

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