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

2011/04/08 by L. A. Alexeyeva, Lyudmila Alexeyeva, Alexeyeva, Lyudmila
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #35Q60 #83C5 #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Mathematical Physics (math-ph) #Relativity and Gravitational Theory #math-ph #math.MP #msc:35Q60 #msc:83C5

paper · pdf · doi:10.48550/arxiv.1104.1483

15 pages; Physical Mathematics, Vol.1(2009)

arxiv created 2011/04/08 · openalex publication_date 2011/04/08 · arxiv updated 2011/04/11 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

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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