Conformal Mappings, Hyperanalyticity and Field Dynamics

Generalization of complex analysis to the case of noncommutative algebras of a quaternion-like type is presented. There exists a correspondence between quaternion-differentiable functions and conformal mappings in Euclidean 4-space. For the algebra of biquaternions differentiability conditions are nonlinear and Lorentz-invariant. Starting from these, a version of algebraic field theory, algebrodynamics is suggested. Solutions of basic equations are obtained, and relations to the Maxwell theory disputed.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
1-2
Язык
Английский
Страницы
197-206
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
-
Том
50
Год
1998
Организации
  • 1 Department of General Physics, Peoples Friendship Univ. of Russia, 3 Ordjonikidze Street, Moscow 117419, Russian Federation
Ключевые слова
Algebraic electrodynamics; Algebraic structure of spacetime; Biquaternion; Differentiable quaternion functions; Quaternion
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/615/