电-重磁场、电荷、电流及其相互作用的双四元数模型的牛顿定律
Newton's laws for a biquaternionic model of the electro-gravimagnetic field, charges, currents and their interactions
摘要：
利用麦克斯韦方程组的汉密尔顿形式，给出了电重磁场的双四元数模型。建立了由不同电荷和电流产生的EGM场相互作用的方程。三个牛顿定律的字段类似物提供了自由和相互作用的电荷电流，以及相互作用的总场。研究了这些方程在洛伦兹变换下的不变性，特别是电荷电流守恒定律的不变性。结果表明，通过场的相互作用，这一定律不同于众所周知的一个。在电描记图场张力的双四元数中加入标量电阻场，给出了麦克斯韦方程组的新修正。建立了质量密度、电荷密度、电流密度、力密度及其功率的相对论变换公式。给出了电荷-电流变换方程的柯西问题的解。
英文摘要：
With use the Hamiltonian form of the Maxwell's equations one biquaternionic model for electro-gravimagnetic (EGM) field is offered. The equations of the interaction of EGM-fields, which are generated by different charge and current, are built. The field analogs of three Newton's laws are offered for free and interacting charge-currents, as well as total field of interaction. The invariance of these equations at Lorentz transformation is investigated, and, in particular, of the charge-current conservation law. It is shown that, by fields interaction, this law differs from the well-known one. The new modification of the Maxwell's equations is offered with entering the scalar resistance field in biquaternion of EGM-field tension. Relativistic formulae of the transformation of density of the masses and charge, current, forces and their powers are built. The solution of the Cauchy problem is given for equation of charge-current transformations.
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