Thursday, 11 May 2017

Newton’s laws for a biquaternionic model of the electro-gravimagnetic field, charges, currents, and their interactions

In the present paper, a biquaternionic model of the electro-gravimagnetic (EGM) field is considered, which is called energetic. For this, a complex Hamiltonian form of Maxwell equations (MEs) is used, which allows to get the biquaternionic form of these equations. Note that Maxwell gave his equations in quaternionic form, but the modern form belongs to Heaviside. 

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Quaternionic forms of MEs were used by some authors for their solving. Kassandrov applied similar forms for building a unified field model. Here we use the scalar-vector form of biquaternion, which is very impressive and can be adapted for writing the physical variables and equations. Based on Newton’s laws, the biquaternionic transformation equations of charges and currents at the presence of the EGM fields are constructed. The relation of these equations to hydrodynamics equations is considered. The energy conservation law at the presence of the field interaction is found.

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