复数的圆锥齿轮象与旋量生成曲面几何
The conic-gearing image of a complex number and a spinor-born surface geometry
摘要：
四元数（Q-）数学形式上包含许多物理定律的片段;特别是，泡利方程的哈密顿量自动出现在具有Q-度量的空间中。本征函数方法表明，任何Q单位都有一个由旋量函数组成的内部结构;这有助于我们用与新的几何图像（圆锥齿轮图像）相关的正交形式来表示任何复数。基本Q-单位旋量的关系被发现，揭示了几何意义的旋量的Lamé系数（二进制）本地耦合的基础和切表面。
英文摘要：
Quaternion (Q-) mathematics formally contains many fragments of physical laws; in particular, the Hamiltonian for the Pauli equation automatically emerges in a space with Q-metric. The eigenfunction method shows that any Q-unit has an interior structure consisting of spinor functions; this helps us to represent any complex number in an orthogonal form associated with a novel geometric image (the conic-gearing picture). Fundamental Q-unit-spinor relations are found, revealing the geometric meaning of spinors as Lamé coefficients (dyads) locally coupling the base and tangent surfaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
