Geometry of Minkowski Space-Time

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

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 1-2
  3. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 3-23
  4. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 25-31
  5. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 33-55
  6. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 57-72
  7. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 73-95
  8. Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti
    Pages 97-99
  9. Back Matter
    Pages 101-116

About this book

Introduction

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

The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions.

The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time.

Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.

Keywords

Minkowski space-time hyperbolic numbers mathematical methods in physics non-Euclidean geometry number theory space-time geometry special relativity

Authors and affiliations

  • Francesco Catoni
    • 1
  • Dino Boccaletti
    • 2
  • Roberto Cannata
    • 3
  • Vincenzo Catoni
    • 4
  • Paolo Zampetti
    • 5
  1. 1.RomeItaly
  2. 2., MatematicaUniversity of Rome "La Sapienza"RomeItaly
  3. 3., Casaccia Research CentreENEARomeItaly
  4. 4.RomeItaly
  5. 5., Casaccia Research CentreENEARomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-17977-8
  • Copyright Information Francesco Catoni 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-17976-1
  • Online ISBN 978-3-642-17977-8
  • About this book