Abstract
Here the biquaternionic model of electro-gravimagnetic field (EGM-field) has been considered, which describes the change of EGM-fields, charges and currents in their interaction. The invariance of these equations with respect to the group of Poincare-Lorentz transformations has been proved. The relativistic formulae of transformation for density of electric and gravity-magnetic charges and currents, active power and forces have been obtained.
Highlights
The mathematical representation of physical processes in various media is always connected with the choice of the coordinate system
In the construction of mathematical models of physical processes, in addition to the various equations and relationships which connect their physical characteristics in some coordinate system, the laws of transformation of these quantities and relations must be determined when passing from one coordinate system to another
In article [3] the author constructed analytical solutions of Equation (6.1) of a free field for charges-currents (F = 0). Using these decisions in relativistic formulae, it’s possible to consider as the electric and gravimagnetic charges and currents will be transformed at these transformations
Summary
The mathematical representation of physical processes in various media is always connected with the choice of the coordinate system. Lorentz proved that Maxwell equations are not invariant under Galilean transformation, and he constructed the linear transformation keeping their invariance in Minkowski space [1] This transformation began to be called Lorentz’s transformation, and transformation formulae (relativistic formulae) have formed the basis of the relativity theory of A. Poincare, investigating Maxwell’s equations, constructed the group of linear transformations keeping their invariance in Minkowski space [2]. They represent superposition of orthogonal transformations and Lorentz’s transformation. In the real work the biquaternionic model is considered, which is earlier offered by the author for electro-gravimagnetic (EGM) fields, charges and currents, and their invariance relative to the group of Poincare-Lorentz transformations on Minkowski space is investigated. After that we’ll consider equations of EGM-charge and current transformation under action of external EGM-field and construct relativistic formulas for all introduced values
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
