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Fundamental Properties of Quaternion Spinors

Authors
  • Yefremov, Alexander P.
Type
Published Article
Publication Date
Sep 08, 2012
Submission Date
Sep 08, 2012
Identifiers
DOI: 10.1134/S0202289312030103
Source
arXiv
License
Yellow
External links

Abstract

The interior structure of arbitrary sets of quaternion units is analyzed using general methods of the theory of matrices. It is shown that the units are composed of quadratic combinations of fundamental objects having a dual mathematical meaning as spinor couples and dyads locally describing 2D surfaces. A detailed study of algebraic relationships between the spinor sets belonging to different quaternion units is suggested as an initial step aimed at producing a self-consistent geometric image of spinor-surface distribution on the physical 3D space background.

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