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Theory of relativity in quaternion spinors

机译:四元数自旋子的相对论

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It is shown that the theory of relativity, apart from the standard format and the comparatively new quaternion formulation, can also be presented in terms of quaternion spinors. Mathematically, the spinor format is fundamental while technically it is primitive since it links transformations of reference frames (including non-inertial frames) with an instant rotation of a unique vector "about itself." Such a rotation in its turn can be regarded as a reciprocal change of scales of two orthogonal directions on a 2D plane, in general, a complex number valued one. This allows for considering any transformation of relative groups SO(3,a",) and SL(2,a",) and the localized Lorentz group as a deformations of the fractal (pregeometric) spin surface.
机译:结果表明,相对论除了标准格式和相对新的四元数公式外,还可以用四元数旋量来表示。在数学上,自旋格式是基本的,而在技术上则是原始的,因为它将参考帧(包括非惯性帧)的转换与唯一矢量“关于自身”的即时旋转链接在一起。这种旋转又可以看作是二维平面上两个正交方向的比例的倒数变化,通常是一个复数,其值为1。这允许考虑相对组SO(3,a“,)和SL(2,a”,)和局部洛伦兹基团的任何变换作为分形(几何前)自旋表面的变形。

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