A detailed study is made of the space-time transformation properties of inter-charge forces and the associated electric and magnetic force fields, both in classical electromagnetism and in a recently developed relativistic classical electrodynamical theory. Important differences are found and serious errors are found in the traditional treatment of special-relativistic effects in classical elec...

Based on the electromagnetism-like algorithm, an evolutionary algorithm, improved EM algorithm with genetic algorithm technique (IEMGA), for optimization of fractional-order PID (FOPID) controller is proposed in this article. IEMGA is a population-based meta-heuristic algorithm originated from the electromagnetism theory. It does not require gradient calculations and can automatically converge ...

Have you always wanted to know what happens when electromagnetic theory needs be extended a general relativistic setting but never found the time dive into literature about it? Fear not! This issue of IEEE Antennas and Propagation Magazine has just article for you. It features nice review formu...

As explained in the official problem description set out by Arthur Jaffe and Edward Witten, Yang-Mills theory is a generalization of Maxwell’s theory of electromagnetism, in which the basic dynamical variable is a connection on a G-bundle over four-dimensional space-time. Its quantum version is the key ingredient in the Standard Model of the elementary particles and their interactions, and a so...

Approximation theory covers some important topics in applied analysis, and its application serves many fields in science and engineering such as fluid mechanics, electromagnetism, diffraction theory, statistics and economics. Although it is an old subject, dating back to Laplace, new methods and applications continue to appear in various publications. There is now a need to provide new methods ...

We will provide detailed arguments showing that the set of Maxwell equations, and the corresponding wave equations, do not properly describe the evolution of electromagnetic wave-fronts. We propose a nonlinear corrected version that is proven to be far more appropriate for the modellization of electromagnetic phenomena. The suitability of this approach will soon be evident to the reader, throug...

We map noncommutative (NC) U(1) gauge theory on IRdC × IR NC to U(N → ∞) Yang-Mills theory on IRdC , where IR d C is a d-dimensional commutative spacetime while IR 2n NC is a 2n-dimensional NC space. The resulting U(N) Yang-Mills theory on IRdC is equivalent to that obtained by the dimensional reduction of (d+2n)-dimensional U(N) Yang-Mills theory onto IRdC . We show that the gauge-Higgs system...

Black hole solutions to the Einstein equations coupled with Born--Infeld electromagnetism associated generalized nonlinear electrodynamics, carrying both electric and magnetic charges, often referred as dyonically charged black holes, of finite energies, are constructed. These give rise relegated curvature singularities at center matter sources holes approach classical Reissner--Nordstrom asymp...