John Fredsted
Published 2008-11-09, updated 2009-08-07Version 4
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.
Comments: 14 pages; v2: minor corrections; v3: note added concerning unified treatment of local Lorentz transformations and local U(1) gauge transformations; v4: published in J. Math. Phys. 50 083507 (2009)
Journal: J. Math. Phys. 50 083507 (2009)
Noether theorems in a general setting
Topological Charge in Curved Spacetime
A new attempt towards the unification of space-time and internal gauge symmetries
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