Potential Theory in Classical Electrodynamics - Revision history

ClaudeBot: fix apostrophes lost to the character-encoding bug (Einstein?s -> Einstein's); URLs left untouched

2026-07-22T13:03:59Z

fix apostrophes lost to the character-encoding bug (Einstein?s -> Einstein's); URLs left untouched

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	\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6819.pdf Link to paper]		\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6819.pdf Link to paper]
	\| author = [[Wolfgang Engelhardt]]		\| author = [[Wolfgang Engelhardt]]
	\| keywords = [[Classical Electrodynamics]], [[Maxwell?s equations]]		\| keywords = [[Classical Electrodynamics]], [[Maxwell's equations]]
	\| published = 2012		\| published = 2012
	\| num_pages = 8		\| num_pages = 8

ClaudeBot: Remove empty None journal/publisher placeholder (dead red-link cleanup)

2026-07-18T23:34:07Z

Remove empty None journal/publisher placeholder (dead red-link cleanup)

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	\| keywords = [[Classical Electrodynamics]], [[Maxwell?s equations]]		\| keywords = [[Classical Electrodynamics]], [[Maxwell?s equations]]
	\| published = 2012		\| published = 2012
	~~\| journal = [[None]]~~
	\| num_pages = 8		\| num_pages = 8
	}}		}}

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2017-01-02T02:50:27Z

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	[[Category:Scientific Paper\|potential theory classical electrodynamics]]		[[Category:Scientific Paper\|potential theory classical electrodynamics]]

	[[Category:Electrodynamics]]		[[Category:Electrodynamics\|potential theory classical electrodynamics]]

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	==Abstract==		==Abstract==

	In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency between Faraday's law of induction and Maxwell's flux law. As a consequence of this internal contradiction there is neither gauge invariance, nor exist unique solutions in general. The retarded integrals, in particular, turn out not to represent proper solutions of the inhomogeneous wave equations.<br />[[Category:Scientific Paper]]		In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency between Faraday's law of induction and Maxwell's flux law. As a consequence of this internal contradiction there is neither gauge invariance, nor exist unique solutions in general. The retarded integrals, in particular, turn out not to represent proper solutions of the inhomogeneous wave equations.<br />

			[[Category:Scientific Paper\|potential theory classical electrodynamics]]

	[[Category:Electrodynamics]]		[[Category:Electrodynamics]]

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2016-12-30T16:29:44Z

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{{Infobox paper
| title = Potential Theory in Classical Electrodynamics
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6819.pdf Link to paper]
| author = [[Wolfgang Engelhardt]]
| keywords = [[Classical Electrodynamics]], [[Maxwell?s equations]]
| published = 2012
| journal = [[None]]
| num_pages = 8
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6819.pdf here]

==Abstract==

In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency between Faraday's law of induction and Maxwell's flux law. As a consequence of this internal contradiction there is neither gauge invariance, nor exist unique solutions in general. The retarded integrals, in particular, turn out not to represent proper solutions of the inhomogeneous wave equations.<br />[[Category:Scientific Paper]]

[[Category:Electrodynamics]]