When a (frequency–domain) boundary value problem involving a homogeneous linear material is solved to assess the validity of the Post constraint, a conflict arises between the fundamental differential equations of electromagnetism in the chosen material and a näive application of the usual boundary conditions. It is shown here that the conflict vanishes when the boundary conditions are properly...

We propose a naive unification of Electromagnetism and General Relativity based on enlarging the gauge group of Ashtekar’s new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wavefunctions depend on two loops, each of them carrying information about both gravitation and electromagnetism. We find that the Chern-Simo...

A linear vector model of gravitation is introduced in the context of quantum physics as a generalization of electromagnetism. The gravitoelectromagnetic gauge symmetry corresponds to a hyperbolic unitary extension of the usual complex phase symmetry of electromagnetism. The reversed sign for the gravitational coupling is obtained by means of the pseudoscalar of the underlying complex Clifford a...

The genesis of the Post constraint is premised on two attributes of modern electromagnetism: (i) its microscopic nature, and (ii) the status of ẽ (x, t) and b̃ (x, t) as the primitive electromagnetic fields. This constraint can therefore not arise in EH–electromagnetism, wherein the primitive electromagnetic fields are the macroscopic fields Ẽ (x, t) and H̃ (x, t). Available experimental evidence...

Standard formulae of classical electromagnetism for the forces between electric charges in motion derived from retarded potentials are compared with those obtained from a recently developed relativistic classical electrodynamic theory with an instantaneous inter-charge force. Problems discussed include small angle Ruther-ford scattering, Jackson's recent 'torque paradox' and circular Keplerian ...

If the conformal invariance of electromagnetism is broken during inflation, then primordial magnetic fields may be produced. If this symmetry breaking is generated by the coupling between electromagnetism and a scalar field—e.g. the inflaton, curvaton, or Ricci scalar—then these magnetic fields may be correlated with primordial density perturbations, opening a new window to the study of nonGaus...

In this paper we describe a high order spectral algorithm for solving the time-harmonic Navier equations in the exterior of a bounded obstacle in three space dimensions, with Dirichlet or Neumann boundary conditions. Our approach is based on combined-field boundary integral equation (CFIE) reformulations of the Navier equations. We extend the spectral method developped by Ganesh and Hawkins [12...

A data-mining approach is applied to optimize the energy consumption of an air handling unit. A multiperceptron ensemble algorithm is used to model a chiller, a pump, and the supply and return fans. A non-linear model is developed to minimize the total energy consumption of the air-handling unit while maintaining the temperature of the supply air and the static pressure in a predetermined range...

In this paper, we present on a periodic job shop scheduling problem (PJSSP) based on the periodic event scheduling problem (PESP), which is different from cyclic scheduling. The PESP schedules a number of recurring events, such that each pair of events fulfills certain constraints during a given time period. To solve such a hard PJSS problem, we propose a hybrid algorithm, namely EM–SA, which i...

The Electromagnetism-like (EM) algorithm is a populationbased stochastic global optimization algorithm that uses an attractionrepulsion mechanism to move sample points towards the optimal. In this paper, an implementation of the EM algorithm in the Matlab environment as a useful function for practitioners and for those who want to experiment a new global optimization solver is proposed. A set o...