Open AccessGeometry and kinematics induced by biquaternionic and twistor structures
Author(s) -
Vladimir V. Kassandrov,
Nina Markova
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2081/1/012023
Subject(s) - twistor theory , minkowski space , twistor space , geometry , lorentz transformation , algebraic geometry , mathematics , kinematics , algebraic structure , algebraic number , algebra over a field , pure mathematics , physics , classical mechanics , mathematical analysis
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.