Twenty years on since I have starterd my attempts to explain theoretical physicists that almost whole body of knowledge on classical electrodynamics found in literature, I mean books of J.D. Jackson, L.D. Landau and E.M. Lifshitz, R.P. Feynman's Lectures and others, is completely erroneous. Only three exact solutions of Maxwell equations found in the literature, which describe the fields of rest point charge (Coulomb's law), of direct current on a straight line (Ampere's law) and of plane wave, are correct. Other correct solutions are not generally known. One was obtained by G. Mie in 1908 and others were done by anonimous authors circa in 1960. All the rest results, particularly, those obtained by the theory of retarded potentials, are completely erroneous.
Everybody knows, or at least knew some few decades ago that whenever a differential equation is solved, the result needs to be verified by substituting into the original equation. It looks like that physicists never did so to "solutions" of the Maxwell equations, otherwise they would make a lot of interesting discoveries. It is easy. Just take the expression for magnetic strength produced by circular current loop from any book on the subject and derive its curl. Theoretically the curl must be equal to zero everywhere but the loop itself. Practically it is not. Doing so, one can derive current density in each point of the space, which produces that "source-free" field. Physicists religiously believe that if they do it, the result will be zero, therefore they have no reason to do it.
At least, they say so. But in fact they fear to check because they do not know what to do if they see anything else. In any case, he should tell about it to others. First of all, anyone who saw that the result is non-zero should witness that what was believed to be solutions of the Maxwell equations for more than a century, are not. Second, they he should start searching for an error. Third, he should start searching for another approach to the Maxwell equations which is free of errors. But each of these steps require that a theoretical physicist is able to think his own. Is a theoretical physicist able to?
Max Planck claimed that they are not. He affirmed long time ago:
"An important scientific innovation rarely makes its way by gradually winning over and converting its opponents; very rarely happens that Saul becomes Paul. What does happen is that its opponents gradually die out and that the growing generation is familiarized with the idea from the beginning."
That is what I have started with. Twenty years ago I started my attempts to explain theoretical physicists that everything is as I say. I asked everyone to verify what they believe in. As everyone refuses to do it, I do it myself and show them the result and observe an interesting phenomenon. A typical theoretical physicists reacts to what he see a strange way. First, he becomes lunatic for a while, but after about one hour becomes a normal again, but does not remember, whether I told him anything at all. And this lasts for twenty years. Another generation has grown, but still noone is familiarized with the truth. Everything remains as twenty years or, maybe one and half century ago as if I did not tell anything to anybody. Theoretical physicists apparently changed in last hundred years. Those who lived in Planck's times, would react absolutely different way. A century ago noone would become a lunatic for a while. Society of that time would never forgive this to anybody, once one have played a fool this he would have this status forever. The today's democratic societies allow one to become a lunatic when he wants and afterwards to return into his "normal" state without consequences. That is why I have no hope that one day another generation will be familiarized with realities of theoretical physics, particularly, classical electrodynamics.
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