Spinor fields without Lorentz frames in curved space-time using complexified quaternions

@article{Fredsted2009SpinorFW,
  title={Spinor fields without Lorentz frames in curved space-time using complexified quaternions},
  author={John Fredsted},
  journal={Journal of Mathematical Physics},
  year={2009},
  volume={50},
  pages={083507}
}
  • John Fredsted
  • Published 2009
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • Using complexified quaternions, a formalism without Lorentz frames, and therefore also without vierbeins, for dealing with tensor and spinor fields in curved space-time is presented. A local U(1) gauge symmetry, which, it is speculated, might be related to electromagnetism, emerges naturally. 

    References

    SHOWING 1-10 OF 23 REFERENCES
    Introduction to octonion and other non-associative algebras in physics
    • 210
    • Highly Influential
    Quark structure and octonions
    • 268
    The mathematical intelligencer
    • 58
    • PDF
    Quantum Theory of Fields
    • 3,252
    • Highly Influential
    Bull
    • Amer. Math. Soc. 39, 145
    • 2002
    Bull. Amer. Math. Soc
    • Bull. Amer. Math. Soc
    • 2002
    Compt
    • Rend. 188, 1470
    • 1929