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Maxwell's Original Equations
Posted on Saturday, February 04, 2012 @ 19:05:44 EST by vlad


FDT writes: The four equations that are presented in modern textbooks under the title of 'Maxwell's Equations' did indeed appear throughout Maxwell's 1861 paper "On Physical Lines of Force". They did not however appear as a distinct grouping. A distinct grouping of eight equations did however appear in Maxwell's 1865 paper "A Dynamical theory of the Electromagnetic Field" and this group contained more information about electromagnetism than the group of four that appears in modern textbooks. One of these eight equations ironically appears today in modern textbooks as a supplement to Maxwell's equations, as if it had never been one of Maxwell's equations in the first place. This original Maxwell equation appeared as equation (77) in his 1861 paper, and as equation (D) in the original list of eight equations in the 1865 paper, but it is nowadays introduced in modern textbooks under the misnomer of 'The Lorentz Force'.
See "Maxwell's Original equations" at http://www.wbabin.net/ScienceJournals/EssaysMechanics%20/%20Electrodynamics/Download/3889Another important feature of the original list of eight Maxwell's equations is that it includes the equation curl A = B, whereas the modern list uses the lesser informative divergence of this equation, div B = 0, hence missing out on the full physical significance of the electromagnetic momentum vector A which corresponds to Faraday's electrotonic state. The equation curl A = B when understood in the context within which it was derived by Maxwell, reveals the underlying finegrained flywheel nature of the medium for the propagation of light. David Tombe

 
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Re: Maxwell's Original Equations (Score: 1) by RBM on Sunday, February 05, 2012 @ 17:46:00 EST (User Info  Send a Message)  First let me say thanks for bringing this up. I'll be looking diligently at the links provided to see if they are of bookmark quality.
I first learned of the 4 versus 4 formulations through Tom Bearden's work several years ago.
Is there a particular reason you felt posting it was worthwhile ? Was it new information to you ?



Re: Maxwell's Original Equations (Score: 1) by Koen on Monday, February 06, 2012 @ 13:05:08 EST (User Info  Send a Message) http://no.nl/tesla  FD, excellent article, I like it. I agree Maxwell's displacement current is in fact an aether current. Equation C should state curl H = J,total (not just 'J').
Modern textbooks don't mention equation D at all, however, equation D is not the Lorentz force law. Equation D is a riddle: what is it that has speed v (either relative speed to a motionless labobserver frame, or relative speed between two objects) ? I don't know how to understand this equation at all.
Another riddle: the Lorentz force, and its less general derivative, the Grassmann force law, does NOT satisfy Newton's third principle of colinear actionreaction forces, in general. The older Weber force law (and the less general Ampere force law) DOES satisfy Newton's third principle in general. For this reason Maxwell's theory is not complete, because a 'longitudinal Ampere force is missing, in case of static currents'. And according to Weber's law there can be a form of electric field induction that does not involve the time differential of the magnetic field (Faraday's law).
However, the beauty of Maxwell's theory (to me) is the aether as expressed by the 'displacement current' which allows for a an "electrodynamical force wave" with a phase velocity c that can propagate through the aether, and that has not been described before by for instance Weber & Gauss & Ampere. For many years the German physicsts thought of Maxwell's aether wave as pure science fiction. Then Hertz proved Maxwell right, and this was a big shock to many.
Both theories (the Maxwell theory and the Weber theory) are essentially incomplete, therefore classical electrodynamics theory is still unfinished business, despite of all the "relativity" mambo jumbo. Official relativity theory is a travesty and wrong for many reasons, Einstein played little or no part in this history, despite of the worship of saint Einstein by his kosher family.



TESLION TESLA WAVE (Score: 1) by nanotech on Saturday, February 11, 2012 @ 07:37:58 EST (User Info  Send a Message)  Read this paper on Scribd, everyone:
http://www.scribd.com/doc/81234135/TeslaWaves




