论文标题

由生物Quaternionic和Twistor结构引起的扩展几何形状和运动学

Extended geometry and kinematics induced by biquaternionic and twistor structures

论文作者

Kassandrov, Vladimir V., Markova, Nina V.

论文摘要

生物试验的代数具有明显的洛伦兹形式,并诱导了延长的时空几何形状。我们考虑了Minkowski时空的这种复杂的几何形状和实际几何形状之间的联系。曲折结构自然出现在生物质量分析的框架中。两者一起,代数和曲折结构对用粒子状地层鉴定的生物试验值的奇异点的传输施加了严格的限制。

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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