The Fundamental Equations of Electrodynamics: Difference between revisions
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==Abstract== | ==Abstract== | ||
<em>The<sup><span style="FONT-SIZE: x-small"> </span></sup>inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have<sup><span style="FONT-SIZE: x-small"> </span></sup>been incorrectly interpreted since they were first produced early in<sup><span style="FONT-SIZE: x-small"> </span></sup>this century. In the present paper it is shown that<sup><span style="FONT-SIZE: x-small"> </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"> </span></sup>a set of differential equations governing short-range fields that exist<sup><span style="FONT-SIZE: x-small"> </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"> </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"> </span></sup>It is suggested that these are the missing differential equations<sup><span style="FONT-SIZE: x-small"> </span></sup>governing the structure and stability of electromagnetic particles''. | <em>The<sup><span style="FONT-SIZE: x-small"> </span></sup>inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have<sup><span style="FONT-SIZE: x-small"> </span></sup>been incorrectly interpreted since they were first produced early in<sup><span style="FONT-SIZE: x-small"> </span></sup>this century. In the present paper it is shown that<sup><span style="FONT-SIZE: x-small"> </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"> </span></sup>a set of differential equations governing short-range fields that exist<sup><span style="FONT-SIZE: x-small"> </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"> </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"> </span></sup>It is suggested that these are the missing differential equations<sup><span style="FONT-SIZE: x-small"> </span></sup>governing the structure and stability of electromagnetic particles''. | ||
[[Category:Electrodynamics]] | [[Category:Scientific Paper|fundamental equations electrodynamics]] | ||
[[Category:Electrodynamics|fundamental equations electrodynamics]] | |||
Latest revision as of 22:02, 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.
