Extended Electrodynamics: A Brief Review (original) (raw)
Related papers
1997
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_{\mu\nu}F^{\mu\nu} = (*F)_{\mu\nu}F^{\mu\nu} = 0. The three invariant characteristics of the non-linear solutions: amplitude, phase and scale factor are introdiced and discussed.
Extended Electrodynamics: III. Free Photons and (3+1)Soliton like Vacuum Solutions
1997
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.
On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics
2002
In this paper, in the frame of Extended Electrodynamics (EED), we study some of the consequences that can be obtained from the introduced and used by Maxwell equations complex structure \mathcal{J} in the space of 2-forms on \mathbb{R}^4, and also used in EED. First we give the vacuum EED equations with some comments. Then we recall some facts about the invariance group GGG (with Lie algebra \mathcal{G}) of the standard complex structure JJJ in \mathbb{R}^2. After defining and briefly studying a representation of GGG in the space of 2-forms on \mathbb{R}^4 and the joint action of GGG in the space of \mathcal{G}-valued 2-forms on \mathbb{R}^4 we consider its connection with the vacuum solutions of EED. Finally we consider the case with point dependent group parameters and show that the set of the nonlinear vacuum EED solutions is a disjoint union of orbits of the GGG-action, noting some similarities with the quantim mechanical eigen picture and with the QFT creation and anihilation operators.
Extended Electrodynamics I. Basic Notions, Principles and Equations
1997
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.
This paper presents an alternative to the Maxwell vacuum equations pre-relativistic approach to description of electromagnetic field objects. Our view is based on the understanding that the corresponding differential equations should be dynamical in nature and the physical relations represented by them should represent local stress-energy-momentum balance relations. Such a view does not go along with the classical assumption for local recognizability of the electric and magnetic constituents E and B as time-stable and space propagationg subsystems of the field objects. The corresponding reconsideration brought us to the assumption, that the two couples (E, B) and (−B, E) are much more adequate in this respect: free electromagnetic field objects exist in a permanent propagation with the fundamental velocity c, so each of its recognizable subsystems should be able to carry momentum, and neither E nor B are able to do this separately, while each of the couples (E, B; −B, E) is able to do this, but only in presence of the other. Therefore, the necessary internal local dynamics, admissible changes, time stability and recognizability during space propagation should be viewed in terms of (E, B) and (−B, E) and their mutually compatible changes.
Extended Electromagnetic Theory, Angular Momentum and the B
Introduction In a monograph by Evans and Vigier [1],as well as in related investigations [2-4] new discoveries in photon physics have been presented, leading to an associated magnetic field component, B , in the direction of propagation, and to a small but non-zero rest mass of the photon. These predicted properties of the photon can be shown to be connected with the earlier proposed Lorentz invariant extension of Maxwell's equations, which is based on the hypothesis of a non-vanishing field divergence in vacuo [5-7], and with non-zero conductivity in vacuo [8]. As one of the consequences of this extended theory, electromagnetic space-charge (EMS) waves should exist in vacuo. Consequently, the axisymmetric nature of this wave mode should be of special interest to photon physics [7], and will thus be considered here, and be shown to be related to the theory of Evans and Vigier [1]. Longitudinal and Nontransverse Electromagnetic Waves Here we shall concentrate on two modified forms
From Electromagnetic Duality to Extended Electrodynamics
2001
This paper presents the transition from Classical Electrodynamics (CED) to Extended Electrodynamics (EED) from the electromagnetic duality point of view, and emphasizes the role of the canonical complex structure in calR2{\cal R}^2calR2 in, both, nonrelativistic and relativistic formulations of CED and EED. We begin with summarizing the motivations for passing to EED, as well as we motivate and outline the way to be followed in pursuing the right extension of Maxwell equations. Further we give the nonrelativistic and relativistic approaches to the extension and give explicitly the new equations as well as some properties of the nonlinear vacuum solutions.
Screw photon-like (3+1)-solitons in extended electrodynamics
The European Physical Journal B - Condensed Matter, 2002
This paper aims to present explicit photon-like (3+1) spatially finite soliton solutions of screw type to the vacuum field equations of Extended Electrodynamics (EED) in relativistic formulation. We begin with emphasizing the need for spatially finite soliton modelling of microobjects. Then we briefly comment the properties of solitons and photons and recall some facts from EED. Making use of the localizing functions from differential topology (used in the partition of unity) we explicitly construct spatially finite screw solutions. Further a new description of the spin momentum inside EED, based on the notion for energy-momentum exchange between F and * F , is introduced and used to compute the integral spin momentum of a screw soliton. The consistency between the spatial and time periodicity naturally leads to a particular relation between the longitudinal and transverse sizes of the screw solution, namely, it is equal to π. Planck's formula E = hν in the form of ET = h arizes as a measure of the integral spin momentum.