All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident: Arthur Schopenhauer -- In questions of science the authority of a thousand is not worth the humble reasoning of a single individual: Galileo Galilei -- Science is a wonderful thing if one does not have to earn one's living at it: Albert Einstein -- When you have eliminated the impossible, what ever remains, however improbable must be the truth: Sir Arthur Conan Doyle -- We all agree that your theory is crazy, but is it crazy enough? Niels Bohr -- Whenever a true theory appears, it will be its own evidence. Its test is that it will explain all phenomena: Ralph Waldo Emerson -- Since the mathematicians invaded Relativity, I do not understand it myself anymore: Albert Einstein -- I would say that the aether is a medium invented by man for the purpose of propagating his misconceptions from one place to another: W.F.G. Swann: -- Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone: Albert Einstein -- Physics is mathematical not because we know so much about the physical world, but because we know so little: Bertrand Russell -- If I could explain it to the average person, I would not have been worth the Nobel Prize: R. P. Feynman -- I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use: Galileo Galilei -- How dare we speak of the laws of chance? Is not chance the antithesis of all law?: Bertrand Russell -- Only two things are infinite, the universe and human stupidity, and I´m not sure about the former: Albert Einstein -- The glory of mathematics is that you don't have to say what you are talking about: Richard Feynman -- Anything is possible if you don´t know what you are talking about: Author Unknown -- In life, everything is relative - except Einstein´s theory: Leonid S. Sukhorukov -- Don´\'t worry about people stealing your ideas. If your ideas are any good, you´ll have to ram them down people´s throats: Howard Aiken --A day will come undoubtedly when the ether will be discarded as useless: H. Poincaré -- First they tell you you´re wrong and they can prove it; then they tell you you´re right but it isn´t important; then they tell you it´s important but they knew it all along: Charles Kettering -- It is not once nor twice but times without number that the same ideas make their appearance in the world: Aristotle -- The opposite of a true statement is a false statement. The opposite of a profound truth may well be another profound truth: Niels Bohr -- A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it: Max Planck -- Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions: Eric Temple Bell -- Half this game is ninety percent mental: Yogi Berra

Ampère’s Circuital Law and Displacement Current


Tombe, Frederick David


Research Papers


Mechanics / Electrodynamics



Date Published:

February 24, 2020




Maxwell's displacement current, aether, vortices, electromagnetism, electromagnetic radiation, electromagnetic wave equation, displacement current, wireless telegraphy, magnetization, linear polarization, electron-positron aether


Ampère’s Circuital Law is the most controversial of Maxwell's equations due to its association with displacement current. The controversy centres around the fact that Maxwell’s entire physical basis for introducing the concept of displacement current in the first place, was the existence of a dense sea of molecular vortices pervading all of space. The modern-day physical parameter known as the electric permittivity, ε, being reciprocally related to the dielectric constant, is historically rooted in the elasticity of this medium. Indeed, the dielectric constant served as the vehicle through which the speed of light was imported into the analysis from the 1855 Weber-Kohlrausch experiment, yet the medium itself has since been totally eliminated from the textbooks. In order to understand how the omission of Maxwell’s vortex sea has impacted upon electromagnetic theory, this article will examine the relationship between Ampère’s Circuital Law in its differential form and the curl of the Biot-Savart Law with which it is generally equated. In particular the continued use of displacement current in the dynamic state, despite the omission of its original physical basis, will be contrasted with the omission of displacement current in the steady state version of Ampère’s Circuital Law as it applies in space.


Add a Comment

<<< Back