Concepts for a Theory of the Electromagnetic Field (original) (raw)

The wave-function description of the electromagnetic field

Journal of Physics: Conference Series, 2013

For an arbitrary electromagnetic field, we define a prepotential , which is a complex-valued function of spacetime. The prepotential is a modification of the two scalar potential functions introduced by E. T. Whittaker. The prepotential is Lorentz covariant under a spin half representation. For a moving charge and any observer, we obtain a complex dimensionless scalar. The prepotential is a function of this dimensionless scalar. The prepotential of an arbitrary electromagnetic field is described as an integral over the charges generating the field. The Faraday vector at each point may be derived from by a convolution of the differential operator with the alpha matrices of Dirac. Some explicit examples will be calculated. We also present the Maxwell equations for the prepotential.

The theory of electromagnetic field motion 1. Introduction to the theory

This paper describes the fact of existence of paradoxes and internal contra-dictions of the electromagnetic field classical theory and the way of elimina-tion of such contradictions by more rigorous application of the relativity principle to electromagnetic phenomena and by creation of the consecutive relativistic electromagnetic theory. Here are presented general principles and requirements to any new physical theory and, in particular, to the rela-tivistic electromagnetic theory which is a subject matter in the present cycle of works.

Electromagnetic theory

2005

An introduction to Electromagnetic Theory is given with emphasis on wave propagation phenomena in free space and inside wave guides. We also discuss the radiation emitted by moving electric charges, an issue which is particularly important in accelerator physics.

The Electromagnetic Field

Special Relativity, 2019

The quantities ε, μ are scalar only for homogeneous and isotropic media. For anisotropic and non-homogeneous materials these quantities are described by second order symmetric tensors. 8 The values assigned to these constants are the following:

Electromagnetic Fields Theory

Physical Constants Quantity Value Electron charge e = (1.602 177 33 ± 0.000 000 46) × 10 −19 C Electron mass m = (9.109 389 7 ± 0.000 005 4) × 10 −31 kg Permittivity of free space � 0 = 8.854 187 817 × 10 −12 F/m Permeability of free space µ 0 = 4π10 −7 H/m Velocity of light c = 2.997 924 58 × 10 8 m/s Dielectric Constant (� � r ) and Loss Tangent (� �� /� � ) Material � r �� / �

Replacements for Maxwell's Equations are derived as part of a Unified Field Theory.

This paper presents work extracted from a more complete unified theory. It is abbreviated and introduces changes to fundamental properties as if they are curiosities. The results are hoped to demonstrate that the changes must be more than curiosities. The idea presented in previous papers and used here is that: Empirical evidence consists of changes in patterns of changes of velocities of objects; and that: All properties inferred to exist from empirical evidence must be definable in the same terms as that evidence is expressed. The evidence is expressed in measures of distance and time. The special increment of time returns in this paper. The increment has the same magnitude as electric charge. It is the period of time required for light to travel the radius of the hydrogen atom.

An Extended Electromagnetic Theory

2000

Extended formulations of electromagnetic theory in vacuo are presented , as being based on a nonzero electric field divergence and a nonzero electric conductivity. These two approaches introduce new features by which some of the so far unanswered questions in electromagnetic field theory may become settled, and the applications of the same theory be enlarged. Examples on this are given by the steady states of leptons and string configurations, and by plane and axisymmetric electromagnetic wave phenomena including photon physics, also with astrophysical applications.