Biquaternionic Form of Laws of Electro-Gravimagnetic Charges and Currents Interactions
- 1 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Abstract
One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues are used. The closed system of biquaternionic wave equations is constructed for determination of the charges-currents and electro-gravimagnetic fields and united field of interactions. The equation of charge-current transformation is like the generalization of biquaternionic presentation of Dirac equation. The properties of its solutions are described, depending on properties of external EGM field. The biquaternions of energy-pulse of EGM-field and charges-currents are considered. The energy-pulse of EGM-interactions is calculated.
- Alexeyeva, L.A. (2016) Journal of Modern Physics, 7, 435-444. http://www.scirp.org/journal/jmp http://dx.doi.org/10.4236/jmp.2016.75045
- Alexeyeva, L.A. (2012) Int. J. Clifford Analysis, Clifford Algebras and Their Applications, 7, 19-39.
- Rastall, R. (1964) Review of Modern Physics, 36, 820-832. http://dx.doi.org/10.1103/RevModPhys.36.820
- Edmonds Jr., J.D. (1978) American Journal of Physics, 46, 430. http://dx.doi.org/10.1119/1.11316
- Spilker, G.L. (1983) Report of USSR Academy of Sciences, 272, 1359-1363.
- Rotelli, P. (1989) Modern Physics Letters A, 4, 933-940. http://dx.doi.org/10.1142/S0217732389001106
- Davies, A.J. (1990) Physical Review D, 41, 2628-2630. http://dx.doi.org/10.1103/PhysRevD.41.2628
- Finkelstein, D., Jauch, J.M., Schiminovich, S. and Speiser, D. (1992) Journal of Mathematical Physics, 3, 207-220. http://dx.doi.org/10.1063/1.1703794
- Adler, S.L. (1995) Quaternionic Quantum Mechanics and Quantum Fields. Oxford University Press, New York.
- Kravchenko, V.V. (1995) Doklady Mathematics, 51, 287-289.
- Kassandrov, V.V. (1995) Gravitation and Cosmology, 1, 216-222.
- De Leo, S. and Rodrigues Jr., S. (1998) International Journal of Theoretical Physics, 37, 1707-1720. http://dx.doi.org/10.1023/A:1026692508708
- Kravchenko, V.V. (2003) Quaternionic Equation for Electromagnetic Fields in Inhomogeneous Media. In: Begehr, H., Gilbert, R. and Wah Wong, M., Eds., Progress in Analysis, Vol. 1, World Scientific, 361-366.
- Efremov, A.P. (2004) Hypercomples Numbers in Geometry and Physics, 1, 111-127.
- Acevedo, M., Lopez-Bonilla, J. and Sanchez-Meraz, M. (2005) Apeiron, 12, 371.
- Alexeyeva, L.A. (2013) Differential Algebra of Biquaternions. Dirac Equation and Its Generalized Solutions. Progress in Analysis. Proceedings of the 8th Congress of the ISAAC, Moscow, 22-27 August 2013, 153-161.
- Alexeyeva, L.A. (2013) Mathematical Journal, 13, 17-35. (In Russian) http://www.math.kz/images/journal/2013-1/Alexeyeva.pdf
- Vladimirov, V.S. (1976) Generalized Functions in Mathematical Physics. Nauka Publisher, Moscow.