Extended geometry and kinematics induced by biquaternionic and twistor structures
General Relativity and Quantum Cosmology
2022-09-05 v1
Abstract
The algebra of biquaternions possess a manifestly Lorentz invariant form and induces an extended space-time geometry. We consider the links between this complex pre-geometry and real geometry of the Minkowski space-time. Twistor structures naturally arise in the framework of biquaternionic analysis. Both together, algebraic and twistor structures impose rigid restriction on the transport of singular points of biquaternion-valued fields identified with particle-like formations.
Cite
@article{arxiv.2209.01050,
title = {Extended geometry and kinematics induced by biquaternionic and twistor structures},
author = {Vladimir V. Kassandrov and Nina V. Markova},
journal= {arXiv preprint arXiv:2209.01050},
year = {2022}
}
Comments
9 pages. Report on the conference PIRT-21