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arXiv · 2209.01050

Extended geometry and kinematics induced by biquaternionic and twistor structures

Vladimir V. Kassandrov·Nina V. Markova
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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.

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Vladimir V. Kassandrov, Nina V. Markova. 2022-08-31. Extended geometry and kinematics induced by biquaternionic and twistor structures. https://doi.org/10.1088/1742-6596/2081/1/2023

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