Spinor fields without Lorentz frames in curved spacetime using complexified quaternions
Mathematical Physics
2015-05-13 v4 math.MP
Abstract
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.
Cite
@article{arxiv.0811.1357,
title = {Spinor fields without Lorentz frames in curved spacetime using complexified quaternions},
author = {John Fredsted},
journal= {arXiv preprint arXiv:0811.1357},
year = {2015}
}
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)