Spinor fields without Lorentz frames in curved spacetime using complexified quaternions

Details Spinor fields without Lorentz frames in curved spacetime using complexified quaternions Spinor fields without Lorentz frames in curved spacetime using complexified quaternions

2008-11-09

arxiv.org/abs/0811.1357v4

J. Math. Phys. 50 083507 (2009)

Physics

Mathematical Physics

14 pages; v2: minor corrections; v3: note added concerning unified treatment of local Lorentz transformations and local U(1) g

Scientific paper

Using complexified quaternions, a formalism without Lorentz frames, and
therefore also without vierbeins, for dealing with tensor and spinor fields in
curved spacetime is presented. A local U(1) gauge symmetry, which, it is
speculated, might be related to electromagnetism, emerges naturally.

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