ON THE RELATIVISTIC THEORY OF CHARGE

1993 ◽  
Vol 07 (06) ◽  
pp. 413-419
Author(s):  
Y. AKTAS ◽  
M. W. EVANS ◽  
F. FARAHI
Keyword(s):  
Electromagnetic Field ◽  
Experimental Observation ◽  
Linear Relation ◽  
Relativistic Theory ◽  
Qualitative Agreement ◽  
Point Charge ◽  
Reference Frames ◽  
Speed Of Light ◽  
Scalar Parameter ◽  
Vector Potentials

The concept of charge is developed relativistically by assuming that there is a linear relation between point charge (e) and point mass (m) of the type: [Formula: see text] where ζ is a scalar parameter which is unchanged in all reference frames. The theory shows that charge, in a relativistic development based on this hypothesis, depends in general on the velocity of the particle carrying the charge, and the latter vanishes at the speed of light. The hypothesis (1) also implies that charge depends on the scalar and vector potentials of the electromagnetic field. These conclusions are in qualitative agreement with experimental observation.

Electromagnetism and special relativity

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Point Charge ◽  
Reference Frames ◽  
Classical Electrodynamics ◽  
Covariant Form ◽  
Field Tensor ◽  
Electromagnetic Field Tensor ◽  
Preferred Reference Frame ◽  
Physical Quantities

In 1905, when Einstein published his theory of special relativity, Maxwell’s work was already about forty years old. It is therefore both remarkable and ironic (recalling the old arguments about the aether being the ‘preferred’ reference frame for describing wave propagation) that classical electrodynamics turned out to be a relativistically correct theory. In this chapter, a range of questions in electromagnetism are considered as they relate to special relativity. In Questions 12.1–12.4 the behaviour of various physical quantities under Lorentz transformation is considered. This leads to the important concept of an invariant. Several of these are encountered, and used frequently throughout this chapter. Other topics considered include the transformationof E- and B-fields between inertial reference frames, the validity of Gauss’s law for an arbitrarily moving point charge (demonstrated numerically), the electromagnetic field tensor, Maxwell’s equations in covariant form and Larmor’s formula for a relativistic charge.

scholarly journals The Electromagnetic Field outside the Steadily Rotating Relativistic Uniform System

2021 ◽  
Vol 14 (5) ◽  
pp. 379-408
Keyword(s):  
Electromagnetic Field ◽  
Angular Velocity ◽  
Scalar Potential ◽  
Relative Increase ◽  
Observation Point ◽  
Speed Of Light ◽  
Uniform System ◽  
Vector Potentials ◽  
Laplace Equations ◽  
Electric And Magnetic Fields

Abstract: Using the method of retarded potentials, approximate formulae are obtained that describe the electromagnetic field outside the relativistic uniform system in the form of a charged sphere rotating at a constant speed. For the near, middle and far zones, the corresponding expressions are found for the scalar and vector potentials, as well as for the electric and magnetic fields. Then, these expressions are assessed for correspondence to the Laplace equations for potentials and fields. One of the purposes is to test the truth of the assumption that the scalar potential and the electric field depend neither on the value of the angular velocity of rotation of the sphere nor on the direction to the point where the field is measured. However, calculations show that potentials and fields increase as the observation point gets closer to the sphere’s equator and to the sphere’s surface, compared with the case for a stationary sphere. In this case, additions are proportional to the square of the angular velocity of rotation and the square of the sphere’s radius and inversely proportional to the square of the speed of light. The largest found relative increase in potentials and fields could reach the value of 4% for the rapidly rotating neutron star PSR J1614-2230, if the star were charged. For a proton, a similar increase in fields on its surface near the equator reaches 54%. Keywords: Electromagnetic field, Relativistic uniform system, Rotation.

scholarly journals ELECTROMAGNETIC RADIATION IN EVEN-DIMENSIONAL SPACE–TIMES

2008 ◽  
Vol 23 (29) ◽  
pp. 4695-4708 ◽  
Author(s):  
B. P. KOSYAKOV
Keyword(s):  
Electromagnetic Field ◽  
Field Strength ◽  
Electromagnetic Radiation ◽  
Point Charge ◽  
Dimensional Space ◽  
Flat Space ◽  
Vector Potentials ◽  
Radiated Energy ◽  
Basic Concepts ◽  
Strength Formula

The basic concepts and mathematical constructions of the Maxwell–Lorentz electrodynamics in flat space–time of an arbitrary even dimension d = 2n are briefly reviewed. We show that the retarded field strength [Formula: see text] due to a point charge living in a 2n-dimensional world can be algebraically expressed in terms of the retarded vector potentials [Formula: see text] generated by this charge as if it were accommodated in 2m-dimensional worlds nearby, 2 ≤ m ≤ n+1. With this finding, the rate of radiated energy–momentum of the electromagnetic field takes a compact form.

scholarly journals WITHOUT A CONFLICT MODEL OF ELECTRON

2019 ◽  
pp. 16-20
Author(s):  
Vasil Tchaban
Keyword(s):  
Elementary Particle ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Charge Density ◽  
Point Charge ◽  
Quark Distribution ◽  
Electromagnetic Mass ◽  
White Hole ◽  
Universal Formula ◽  
Conflict Model

The model of electron is offered with quark distribution of charge density and ”white hole” (on similarity of ”black hole” in gravitation) in a center. Such structure abolishes the crisis of electromagnetic mass, calculated on universal formula and on the impulse of the electromagnetic field. A model in order to please a classic electrodynamics keeps monolithic nature of elementary particle, and in order to please a quantum allows the separate charged zones to interpret as separate quarks. Coming from harmony of spheres of the separate charged zones, a white hole can be interpreted as white (neutral) quark conditionally in addition to three coloured. As after the electric radius re = 1.185246·10−15 m of white hole the laws of electricity do not operate, then the crisis of point charge is removed at the same time too, because of must be: r ≥ re.

Slow stationary sources

2021 ◽  
pp. 56-64
Author(s):  
Andrew M. Steane
Keyword(s):  
General Solution ◽  
Speed Of Light ◽  
Field Equations ◽  
Vector Potentials ◽  
Linearized Theory ◽  
Stationary Sources ◽  
Metric Perturbation

The linearized theory is applied to sources such as ordinary stars whose speed is small compared to the speed of light. This yields the “gravitoelectromagnetic” theory. The gravitoelectromagnetic field equations are obtained, along with their general solution via scalar and vector potentials. It is shown how to calculate the metric perturbation, and hence the field, due to a rotating ring or a ball, and thus how to calculate orbits, timing, and the Lense-Thirring precession.

scholarly journals A class of solitons in Maxwell-scalar and Einstein–Maxwell-scalar models

2020 ◽  
Vol 80 (1) ◽  
Author(s):  
Carlos A. R. Herdeiro ◽  
João M. S. Oliveira ◽  
Eugen Radu
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Quantum Gravity ◽  
Exact Solutions ◽  
Point Charge ◽  
Coulomb Field ◽  
Specific Class ◽  
Minimal Coupling ◽  
Flat Spacetime ◽  
Physical Quantities

AbstractRecently, no-go theorems for the existence of solitonic solutions in Einstein–Maxwell-scalar (EMS) models have been established (Herdeiro and Oliveira in Class Quantum Gravity 36(10):105015, 2019). Here we discuss how these theorems can be circumvented by a specific class of non-minimal coupling functions between a real, canonical scalar field and the electromagnetic field. When the non-minimal coupling function diverges in a specific way near the location of a point charge, it regularises all physical quantities yielding an everywhere regular, localised lump of energy. Such solutions are possible even in flat spacetime Maxwell-scalar models, wherein the model is fully integrable in the spherical sector, and exact solutions can be obtained, yielding an explicit mechanism to de-singularise the Coulomb field. Considering their gravitational backreaction, the corresponding (numerical) EMS solitons provide a simple example of self-gravitating, localised energy lumps.

Field of a Uniformly Moving Charge in an Anisotropic Dispersive Medium

1973 ◽  
Vol 28 (6) ◽  
pp. 907-910
Author(s):  
S. Datta Majumdar ◽  
G. P. Sastry
Keyword(s):  
Electromagnetic Field ◽  
Fourier Transform ◽  
Point Charge ◽  
Rest Frame ◽  
Dispersive Medium ◽  
Scalar Potential ◽  
Fourier Integral ◽  
The Third ◽  
Dispersion Formula ◽  
The Fourier Transform

The electromagnetic field of a point charge moving uniformly in a uniaxial dispersive medium is studied in the rest frame of the charge. It is shown that the Fourier integral for the scalar potential breaks up into three integrals, two of which are formally identical to the isotropic integral and yield the ordinary and extraordinary cones. Using the convolution theorem of the Fourier transform, the third integral is reduced to an integral over the isotropic field. Dispersion is explicitly introduced into the problem and the isotropic field is evaluated on the basis of a simplified dispersion formula. The effect of dispersion on the field cone is studied as a function of the cut-off frequency.

The calculations of processes involving mesons by matrix methods

1940 ◽  
Vol 36 (3) ◽  
pp. 363-380 ◽  
Author(s):  
A. H. Wilson
Keyword(s):  
Electromagnetic Field ◽  
Cross Sections ◽  
Relativistic Theory ◽  
Matrix Method ◽  
Nuclear Interaction ◽  
New Method ◽  
Nuclear Scattering ◽  
Matrix Methods ◽  
Meson Theory ◽  
The Matrix

In a previous paper a new method, based on Kemmer's β-formalism, of calculating meson processes was given for the case in which the meson interacts with an electromagnetic field. This method is now extended to the nuclear interaction, so that the whole of the meson theory can be given either in tensor or in matrix form, the former being preferable when the wave aspect of the meson is important and the latter when the particle aspect is dominant.As examples of the matrix method, derivations are given of the cross-sections for the nuclear scattering of mesons and for the production of mesons from nuclei by photons. It is pointed out that the usual non-relativistic theory of the nuclear interaction is inadequate even for very small velocities.

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