Re: An extension of Coulomb's law





John Kennaugh wrote:
...
The idea that Coulomb's law only applies in the static case and needs
modification when charge is in motion is not original.

What is worse, as can been be readily confirmed by reading Maxwell's
key 1865 paper on EM, was that Maxwell's whole focus was on explaining
ONLY magnetism with his McCullagh-like model of the twistable aether.
When he had completed this part of his model he simply imported
Coulomb's "law" to handle the electrical component - a gross
simplification that today is tarted up by calling this error the
"Maxwell gauge".
...
One might assume the universal validity of the Galilei transforms, leave the
concepts of space, time and inertial mass unmodified and work out
electrodynamics that are consistent with all observations. Except for a
single attempt by Ritz (1908) no such electrodynamics have so far been
worked out but there is no reason to believe that this is inherently
impossible.

Agreed, John but since almost all academics "follow the leader" this
daring approach to take on Lorentz, Larmor & Planck was more than any
young professional physicist was prepared to pursue. Careerism had
also been alive and well in natural philosophy since about 1870.
...
Hardly a valid basis for ditching 3 long established and apparently
sensible axioms of physics and for totally ignoring a promising
alternate approach.

Agreed 100% & worse, once more, this set physics off down the 'rabbit
hole' of field theory when by 1895 it was known that electricity was
particulate and not manifest as any form of continuum substance -
aether or otherwise but the math was "so elegant" how could these
mathematicians give it up?

.



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