On Spin II
Abstract
Having previously identified the photon field with a (special) linear Complex, we give a brief account on identifications and reasoning so far. Then, in order to include spinorial degrees of freedom into the Lagrangean description, we discuss the mapping of lines to spins based on an old transfer principle by Lie. This introduces quaternionic reps and relates to our original group-based approach by SU(4) and SU*(4)~SL(2,H), respectively. Finally, we discuss some related geometrical aspects in terms of (spatial) projective geometry which point to a projective construction scheme and algebraic geometry.
Cite
@article{arxiv.1812.04944,
title = {On Spin II},
author = {Rolf Dahm},
journal= {arXiv preprint arXiv:1812.04944},
year = {2019}
}
Comments
Talk at the 32nd International Colloquium on Group Theoretical Methods in Physics (Group32), July 2018, Prague; submitted to JoP:CS for publication; few typos and two minor extensions corrected