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The Kummer Configuration and the Geometry of Majorana Spinors

  • Gary W. Gibbons
Conference paper
Part of the Fundamental Theories of Physics book series (FTPH, volume 52)

Abstract

In this article I show how the properties of Majorana spinors in four spacetime dimensions may be understood in terms of the real projective geometry of ordinary three-dimensional space. They may be viewed as points in projective space equipped with a linear line congruence. The discrete group generated by the γ-matrices may be viewed as the automorphism group of Kummer’s configuration 166. As an application of line geometry which I develop I show how the skies of events of 2 + 1-dimensional Minkowski spacetime correspond to the lines of a linear line complex in projective three space.

Keywords

Clifford Algebra Projective Geometry Minkowski Spacetime Line Complex Null Geodesic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Gary W. Gibbons
    • 1
  1. 1.DAMTPUniversity of CambridgeCambridgeUK

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