Research ArticleOpen AccessGoogle Scholar indexed
Biquaternionic Model of Electro-Gravimagnetic Field, Charges and Currents. Law of Inertia
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
- 1 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Journal of Modern Physics·Volume 07 (2016)·Pages 435–444·Published 29 February 2016·DOI10.4236/jmp.2016.75045
Copy link · social · email
Abstract
One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free system of electric and gravimagnetic charges and currents and generated by them EGM-field. By using generalized functions theory the fundamental and regular solutions of this system are determined and some of them are considered (spinors, plane waves, shock EGM-waves and others). The properties of these solutions are investigated.
KeywordsBiquaternionBigradientBiwave EquationElectro-Gravimagnetic FieldElectric ChargeGravimagnetic ChargeCurrentMaxwell EquationsFirst Newton Law
- Alexeyeva, L.A. (2004) Mathematical Journal, 4, 23-34 (in Russian).
- Alexeyeva, L.A. (2009) Journal of Physical Mathematics, 1, 1-15, Article ID: S090604.
- Alexeyeva, L.A. (2012) Int.J. Clifford Analysis, Clifford Algebras and their Applications, 7, 19-39.
- Alexeeyeva, L.A. (2013) Differential Algebra of Biquaternions. Dirac Equation and Its Generalized Solutions. Progress in Analysis. Proceedings of the 8 Congress of the ISAAC, Moscow, 22-27 August 2013, 153-161.
- Vladimirov, V.S. (1976) Generalized Functions in Mathematical Physics. Nauka Publisher, Moscow.
- Alekseeva, L.A. (2003) Journal Differential Equations, 39, 807-816. http://dx.doi.org/10.1023/B:DIEQ.0000008408.67161.19
- Hvorostenko, N.P. (1992) J. News of Higher Education Institutions. Physics, 3, 24-29.
- Etkin, V.A. (2014) Longitudinal Electromagnetic Waves as Corollary of Maxwell Equations (in Russian). www.sciteclibrary.ru/texsts/rus/stat/st5558.pdf