Geometry of the Fundamental Interactions

On Riemann's Legacy to High Energy Physics and Cosmology

  • M. D. Maia

Table of contents

  1. Front Matter
    Pages i-ix
  2. M.D. Maia
    Pages 1-8
  3. M.D. Maia
    Pages 9-24
  4. M.D. Maia
    Pages 25-41
  5. M.D. Maia
    Pages 43-56
  6. M.D. Maia
    Pages 57-71
  7. M.D. Maia
    Pages 73-88
  8. M.D. Maia
    Pages 89-106
  9. M.D. Maia
    Pages 107-123
  10. M.D. Maia
    Pages 125-137
  11. M.D. Maia
    Pages 139-156
  12. M.D. Maia
    Pages 157-170
  13. Back Matter
    Pages 171-179

About this book


Gravitation, electromagnetics and the two types of nuclear forces constitute the four fundamental forces of nature which regulate our everyday life.  Amazingly, they are all described by a single idea of the 19th century proposed by Bernhard Riemann, and with the exception of gravitation, these ideas have been since confirmed by high energy experiments and cosmological observations.  Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology is a mathematical narrative of how we have come to agree on such a complex plot of nature, starting with the basic geometrical concepts and ending with hints on the perspective for cosmology.

This book originated from lectures given for several years to a mixed audience of mathematicians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept of Riemann curvature came to occupy such a central position in physics.  The author takes on the challenge of making the path toward understanding both accessible and interesting to a wide audience.


Minkowski's space time Newton's space-time Yang-Mills theory coordinate symmetries fiber bundles noether's theorem nonlinear scalar fields search for unified field theories three gauge interactions vector and spinor fields

Authors and affiliations

  • M. D. Maia
    • 1
  1. 1.Brasilia D.F.Brazil

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-1-4419-8272-8
  • Online ISBN 978-1-4419-8273-5
  • Buy this book on publisher's site