Theory of relativity in quaternion spinors
- 作者: Yefremov A.1
-
隶属关系:
- Institute of Gravitation and Cosmology
- 期: 卷 22, 编号 2 (2016)
- 页面: 97-106
- 栏目: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176013
- DOI: https://doi.org/10.1134/S0202289316020171
- ID: 176013
如何引用文章
详细
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,ℂ) and SL(2,ℂ) and the localized Lorentz group as a deformations of the fractal (pregeometric) spin surface.
作者简介
A. Yefremov
Institute of Gravitation and Cosmology
编辑信件的主要联系方式.
Email: a.yefremov@rudn.ru
俄罗斯联邦, ul. Miklukho-Maklaya 6, Moscow, 117198