From Hertz-Heaviside Electrodynamics to the Trans-Coordinate Electrodynamics

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F. F. Mende
F. F. Mende
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A. S. Dubrovin
A. S. Dubrovin

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From Hertz-Heaviside Electrodynamics to the Trans-Coordinate Electrodynamics

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Abstract

The conclusion about the absence in them of the mathematical means of the adequate description of passage from one inertial reference system to another because of the use by them of particular derived field functions on the time, which completely tie electrodynamic process to one concrete frame of reference, is made on the basis of the critical analysis of extraction from the equations of the electrodynamics of ideas about the space and period. Is proposed new approach to the development of the mathematical apparatus for electrodynamics in the direction of the more adequate description of passage from one inertial reference system to another due to the introduction into the examination of the trans-coordinate equations, which use new Galilean and trans-coordinate derivatives of field functions. This generalization of electrodynamics assumes the dependence of electromagnetic field and electric charge on the speed of the motion of observer, caused not by the geometry of space-time, but by physical nature of the very field within the framework of gipercontinual ideas about the space and the time. Is obtained the new trans-coordinate formulation of Maxwell equations for the case of isotropic homogeneous medium without the dispersion, which generalizes the traditional formulation of Hertz-Heaviside for the same case. Are given Maxwell equations in the integral and differential forms in the idea of Hertz-Heaviside and in the transcoordinate idea.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

F. F. Mende. 2016. \u201cFrom Hertz-Heaviside Electrodynamics to the Trans-Coordinate Electrodynamics\u201d. Global Journal of Research in Engineering - F: Electrical & Electronic GJRE-F Volume 16 (GJRE Volume 16 Issue F2): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
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GJRE-F Classification: FOR Code: 020302
Version of record

v1.2

Issue date

March 14, 2016

Language
en
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The conclusion about the absence in them of the mathematical means of the adequate description of passage from one inertial reference system to another because of the use by them of particular derived field functions on the time, which completely tie electrodynamic process to one concrete frame of reference, is made on the basis of the critical analysis of extraction from the equations of the electrodynamics of ideas about the space and period. Is proposed new approach to the development of the mathematical apparatus for electrodynamics in the direction of the more adequate description of passage from one inertial reference system to another due to the introduction into the examination of the trans-coordinate equations, which use new Galilean and trans-coordinate derivatives of field functions. This generalization of electrodynamics assumes the dependence of electromagnetic field and electric charge on the speed of the motion of observer, caused not by the geometry of space-time, but by physical nature of the very field within the framework of gipercontinual ideas about the space and the time. Is obtained the new trans-coordinate formulation of Maxwell equations for the case of isotropic homogeneous medium without the dispersion, which generalizes the traditional formulation of Hertz-Heaviside for the same case. Are given Maxwell equations in the integral and differential forms in the idea of Hertz-Heaviside and in the transcoordinate idea.

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From Hertz-Heaviside Electrodynamics to the Trans-Coordinate Electrodynamics

A. S. Dubrovin
A. S. Dubrovin
F. F. Mende
F. F. Mende

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