This study links the fractal structure of physical space-time to quantum-mechanical laws. It is shown that primitive distortions of the pregeometric surface, a fractal cell of 3D space, gives birth to a condition eliminating the metric defect while providing “eternal validity” of the exclusive algebras (of real, complex, and quaternion numbers). Written in the physical units typical for the micro-world entities, this condition acquires the precise form of the Pauli equation describing mechanics of the quantum electron with spin.

中文翻译：

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空间的分形结构需要保利方程的起源

这项研究将物理时空的分形结构与量子力学定律联系起来。结果表明，几何前表面（3D空间的分形单元）的原始变形为消除度量缺陷提供了条件，同时提供了专有代数（实数，复数和四元数）的“永恒有效性”。该条件以微观世界实体的典型物理单位表示，获得了保利方程的精确形式，该方程描述了自旋量子电子的力学。