Difference between revisions of "The Fundamental Equations of Electrodynamics"

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==Abstract==
 
==Abstract==
  
<em>The<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>been incorrectly interpreted since they were first produced early in<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>this century. In the present paper it is shown that<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>the two equations containing the inhomogeneities</em> <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" />, <b>j</b> ''lead to<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>a set of differential equations governing short-range fields that exist<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>at the same point as their source densities'' <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> ''and''<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup><b>j</b>, ''and that vanish wherever'' <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> ''and'' <b>j</b> ''are zero.<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>It is suggested that these are the missing differential equations<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>governing the structure and stability of electromagnetic particles''.[[Category:Scientific Paper]]
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<em>The<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>been incorrectly interpreted since they were first produced early in<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>this century. In the present paper it is shown that<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>the two equations containing the inhomogeneities</em> <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" />, <b>j</b> ''lead to<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>a set of differential equations governing short-range fields that exist<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>at the same point as their source densities'' <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> ''and''<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup><b>j</b>, ''and that vanish wherever'' <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> ''and'' <b>j</b> ''are zero.<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>It is suggested that these are the missing differential equations<sup><span style="FONT-SIZE: x-small">&nbsp;</span></sup>governing the structure and stability of electromagnetic particles''.
  
[[Category:Electrodynamics]]
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[[Category:Scientific Paper|fundamental equations electrodynamics]]
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[[Category:Electrodynamics|fundamental equations electrodynamics]]

Latest revision as of 20:02, 1 January 2017

Scientific Paper
Title The Fundamental Equations of Electrodynamics
Author(s) D E McLennan
Keywords classical electrodynamics, inhomogeneous Maxwell equations, integral vs differential Maxwell equations
Published 1988
Journal Physics Essays
Volume 1
Number 3
Pages 171-175

Abstract

The inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have been incorrectly interpreted since they were first produced early in this century. In the present paper it is shown that the two equations containing the inhomogeneities <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" />, j lead to a set of differential equations governing short-range fields that exist at the same point as their source densities <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> and j, and that vanish wherever <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> and j are zero. It is suggested that these are the missing differential equations governing the structure and stability of electromagnetic particles.