Abstract
By using the Hamiltonian form of the Maxwell equations, a biquaternionic model of\nelectro-gravimagnetic (EGM) field is proposed. The EGM-field equations,\ngenerating different charges and currents, are constructed. The field analogs of\nthree Newton's laws are formulated for free and interacting charges and\ncurrents, as well as the total field of interaction. The Lorentz invariance of\nthe EGM-field equations is investigated (in particular, the charge-current\nconservation law). It is shown that at the presence of field interaction, this\nlaw differs from the well-known one. A new modification of the Maxwell equations\nis proposed with the scalar resistance field in the biquaternion EGM-field\ntension. Relativistic transformations of mass and charge-current densities,\nforces, and their powers are constructed. The solution of the Cauchy problem is\ngiven for equation of charge-current transformations.