These equations are the time-dependent generalization of Coulomb's law and the Biot-Savart law to electrodynamics, which were originally true only for electrostatic and magnetostatic fields, and steady currents.
Maxwell's Equations | Maxwell's equations | London equations | power series solution of differential equations | Oleg D. Jefimenko | Navier–Stokes equations | Maxwell's equations in curved spacetime | Kirsch equations | Equations of motion | Einstein's equations | Einstein field equations |
One of several short stories that he wrote early on, before his novels, it was written in 1981 and published in an anthology called The Ascent of Wonder: The Evolution of Hard SF, edited by David G. Hartwell and Kathryn Cramer.
His later years were spent trying to perfect antennae designs, applying the work of James Clerk Maxwell's work on electromagnetic theory and Maxwell's Equations.
Pullin, Gambini, and Bernd Brügman also wrote a series of papers that make an important connection between knot theory and quantum gravity, by showing that the Jones polynomial can be used to solve a quantum form of Einstein's equations.
In 1910 Paul Ehrenfest published a short paper on "Irregular electrical movements without magnetic and radiation fields" demonstrating that Maxwell’s equations allow for the existence of accelerating charge distributions which emit no radiation.
Oleg Dmitrovich Jefimenko (October 14, 1922, Kharkiv, Ukraine - May 14, 2009, Morgantown, West Virginia, USA) - physicist and Professor Emeritus at West Virginia University.
The set of equations associated with PIC codes are therefore the Lorentz force as the equation of motion, solved in the so-called pusher or particle mover of the code, and Maxwell's equations determining the electric and magnetic fields, calculated in the (field) solver.
Lorenzen took an early interpretation of Steven Weinberg (Gravitation and Cosmology, 1972) for his doubts about geometrical elements of general relativity, believing that Maxwell's equations are to be modified by general relativity instate.
Coulomb's law of electric forces was initially also formulated as instantaneous action at a distance, but was later superseded by Maxwell's Equations of electromagnetism which obey locality.