Monday, 4 September 2023

Electro-Gravimagnetic Field, Charges and Currents, Inertia Law in Differential Algebra of Biquaternions | Chapter 8 | Fundamental Research and Application of Physical Science Vol. 9

 One model of electro-gravimagnetic (EGM) field and electro-gravimagnetic charges and currents has existed developed established the biquaternionic generalization of Maxwell and Dirac equatings. The connection betwixt them is specified by one biquaternionic wave (biwave) equating. Fundamental and regular resolutions of this equating are constructed for popular charges of currents, as well as in their omission. Using the theory of statement functions shock EGM waves are considered and the environments on the fronts of shock waves are obtained.In particular, answers describing gravitational waves and long electromagnetic waves are presented. It is proved that the presence of the long component of EM waves is associated with the bulk of the EGM field, which is specified by the scalar component of the force biquaternion.The law of lifelessness is postulated completely free charge-currents in the absence of extrinsic EGM fields in the biquaternionic form. The mutual bigradient of specific chargescurrents is equal to nothing. Its consequence is the familiar laws of preservation of charge and mass. Solutions concerning this equation are built, which specify the objects of dimension N=3,2,1 (pieces, body, fabric, fibers).Taken together, these two biwave equations are a independent system for deciding the EGM field and the movement of the EGM charges-currents produce by it.

Author(s) Details:

Lyudmila Alexeyeva,
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan.

Please see the link here: https://stm.bookpi.org/FRAPS-V9/article/view/11765

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