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

Abstract

With use the Hamiltonian form of the Maxwell's equations one biquaternionic model for electrogravimagnetic (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.

Fundamental Laws of Nature and Picture of the World

“…Therefore, in the future, it will be necessary to take into account the infinite divisibility of matter in the equations of dynamics. This requirement can be met if we accept the condition that matter has a field form (Alexeyeva, 2009). Perhaps there is a way to explain the relationship between the nature of matter and field.…”

Biquaternionic Model of Electro-Gravimagnetic Field, Charges and Currents. Law of Inertia

“…which solutions can be constructed by use spinors in (2). We consider here some unconventional spinor which can explain longitudinal electromagnetic waves, which are observed in practice [7] [8].…”

“…You see that the longitudinal components at the front of EGM-wave are connected with a jump of scalar α-field, which describes property of attraction-resistance of EGM-field to the movement of external charges and currents. It was shown in[1] [2].…”

“…The one biquaternionic model of electro-gravimagnetic (EGM) fields and their interaction was elaborated by author in [1] [2]. There the fields analogues of three Newton laws for densities of mass and electric charge and current, acting forces and their powers have been built.…”

Biquaternionic Model of Electro-Gravimagnetic Fields and Interactions

“…In papers, the author developed a biquaternionic model of the electro-gravimagnetic field (EGM-field) and electro-gravimagnetic interactions [1][2][3]. Its basis is made up of biquaternionic generalization of Maxwell and Dirac equations.…”