arXiv subjects

M. Tashkova

Publications and source records attributed to M. Tashkova.

3 recordsLinked to original sources

arXiv1997

Extended Electrodynamics: III. Free Photons and (3+1)-Soliton- like Vacuum Solutions

This paper aims to give explicitly all non-linear vacuum solutions to our non-linear field equations, and to define in a coordinate free manner the important subclass of non-linear solutions, which we call almost photon-like. By means of a correct introduction of the local and integral intrinsic angular momentums of these solutions, we saparate the photon-like solutions through the requirement their integral intrinsic angular momentums to be equal to the Planck's constant. Finally, we consider such solutions, moving radially to or from a given center, using standard spherical coordinates.

patt-sol↗

arXiv1997

Extended Electrodynamics: II. Properties and invariant characteristics of the non-linear vacuum solutions

This paper aims to consider the general properties of the non-linear solutions to the vacuum equations of Extended Electrodynamics. The *-invariance and the conformal invariance of the equations are mentioned. It is also proved that all non-linear solutions have zero invariants: F_{μν}F^{μν} = (*F)_{μν}F^{μν} = 0. The three invariant characteristics of the non-linear solutions: amplitude, phase and scale factor are introdiced and discussed.

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arXiv1997

Extended Electrodynamics I. Basic Notions, Principles and Equations

This paper aims to present an elaborate view on the motivation and realization of the idea to extend Maxwell's electrodynamics to Extended Electrodynamics in a reasonable and appropriate way in order to make it possible to describe electromagnetic (3+1)-soliton-like objects in vacuum and in the presence of continuous media (external fields), exchanging energy-momentum with the electromagnetic field.

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