Biquaternionic Form of Laws of Electro-Gravimagnetic Charges and Currents Interactions

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.

Biquaternionic Model of Electro-Gravimagnetic Fields and Interactions

“…There is an extensive bibliography on the construction of quaternion and biquaternion representations of the Maxwell and Dirac equations and their solutions (see, for example, [7][8][9][10][11][12][13][14][15][16][17][18][19]). In articles [3][4][5][6][7], the author also constructed solutions of biquaternionic wave equations. As their application a periodic system of elementary harmonic particles -bosons was constructed, based on the principle of a simple musical scale [20,21].…”

Принцип Организации Канала Подводной Радиосвязи С Использованием Шаровых Антенн

“…Самая ранняя из обнаруженных статей, содержащих уравнения обобщенной электродинамики, опубликована в 1956 г. и принадлежит японскому физику T. Ohmura [18]. Для полного описания четырехкомпонентных электродинамических процессов удобно использовать кватернионы, как это сделано, например, в статье [19].…”

“…Из решений (19), (20) следует, что продольная волна в проводнике затухает по закону 1/r. Заметим, что в диэлектрической среде вместо функции плотности тока j p (r, t) нужно использовать напряженность электрического поля E p (r, t).…”

Relativistic Formulae for the Biquaternionic Model of Electro-Gravimagnetic Charges and Currents

“…To describe the interaction between two systems of charges and currents , ′ Θ Θ we introduced in [4] [7] the biquaternions of Power-force (…”