Site search: 
Youtube channel
VK group
 
Copyright © 2021 Institute for Time Nature Explorations. All Rights Reserved.
Joomla! is Free Software released under the GNU General Public License.
Quaternions and biquaternions: Algebra, geometry and physical theories
Ефремов А.П. (Yefremov A.P.) Quaternions and biquaternions: Algebra, geometry and physical theories // arXiv preprint math-ph/0501055. 2005. 17 p.

Категории: Исследование, Авторский указатель

Quaternions and biquaternions: Algebra, geometry and physical theories
0.0/5 rating (0 votes)

Аннотация

The review of modern study of algebraic, geometric and differential properties of quaternionic (Q) numbers with their applications. Traditional and "tensor" formulation of Q-units with their possible representations are discussed and groups of Q-units transformations leaving Q-multiplication rule form-invariant are determined. A series of mathematical and physical applications is offered, among them use of Q-triads as a moveable frame, analysis of Q-spaces families, Q-formulation of Newtonian mechanics in arbitrary rotating frames, and realization of a Q-Relativity model comprising all effects of Special Relativity and admitting description of kinematics of non-inertial motion. A list of "Quaternionic Coincidences" is presented revealing surprising interconnection between basic relations of some physical theories and Q-numbers mathematics.

  • Скачать статью: Download
  • Размер: 171.88 KB

You have no rights to post comments



Наверх