Relativity and Cosmology


Electromagnetic Theory Without the Lorentz Transformations

Authors: Hamid V. Ansari

We consider point magnetic charges as the sources of the magnetostatic fields, like the point electric charges for the electrostatic fields. Forms of the mutual effects of electric and magnetic charges on themselves and on each other are presented in the forms of vectorial relations. Using these relations incorrectness of a usual manner which eventually leads to the deviation from the classical physics and to the rejection of the Galilean transformations and to the resort to the special relativity is proven. Static potential energy of a distribution of electric and magnetic charges is presented with a careful view on the actual essence of each involved term; this itself shows a sample of the usual carelessness existing in the present current electromagnetic theory even in its static discussions. Almost all the fundamental relations in the present current electromagnetic theory are rewritten in new forms by using the fundamental vectorial relations presented at the beginning of the paper. In a more detailed argument the proportion of the curl of the dynamic field of one kind (ie magnetodynamic or electrodynamic) to the time derivative of the static field of the other kind (ie electrostatic or magnetostatic) is established; meanwhile the proportion of the current density of one kind to the time derivative of the field of the same kind is also shown. Lenz's law is obtained in its new form. Static and dynamic inductances are presented. By presenting an aspect which views the space full of much tiny electrostatic and magnetostatic dipoles, the possibility of the proportion of the static fields to the dynamic fields is shown. The way in which the electromagnetic wave propagates through these dipoles is easily explained by using the mentioned fundamental relations, and by obtaining the new form of Maxwell's equations and deducing the wave equations from them, this simple explanation is endorsed. By deducing the dynamic potential energy and explaining its difference with the static potential energy of a set of charges, the Poynting vector is obtained in its new form. It is shown that the fields of an electromagnetic wave are continuous across the boundary interfaces. Fresnel coefficients are obtained in their quite new forms, and it is explained that the coefficient appearing in the fundamental relations showing the relations between two electric and magnetic charges moving relative to each other, μ, must be construed as a world constant. The reflectance and transmittance are introduced in this new approach, and it is shown that sum of them is identical with one.

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Submission history

[v1] 10 Aug 2009

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