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	<title>Wave-Particle Interactions and the Lorentz Transform - Revision history</title>
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	<updated>2026-04-10T07:43:18Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Wave-Particle_Interactions_and_the_Lorentz_Transform&amp;diff=22338&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
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		<updated>2017-01-01T18:38:08Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:38, 1 January 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A moving particle, represented by its associated plane wave, is assumed to interact with a stationary target particle by the generation of Huygens&#039; sources in the local media. These sources add along a continuum of cones whose apices are on the moving particle and, in combination, constitute a wave that converges on the target along a cone that is orthogonal to them. It is shown that the x&#039; and t&#039;  coordinates of the Lorentz transform describe the motion on the orthogonal cone that corresponds with the motion of the particle as described by the x  and t  coordinates.[[Category:Scientific Paper]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A moving particle, represented by its associated plane wave, is assumed to interact with a stationary target particle by the generation of Huygens&#039; sources in the local media. These sources add along a continuum of cones whose apices are on the moving particle and, in combination, constitute a wave that converges on the target along a cone that is orthogonal to them. It is shown that the x&#039; and t&#039;  coordinates of the Lorentz transform describe the motion on the orthogonal cone that corresponds with the motion of the particle as described by the x  and t  coordinates.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scientific Paper&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|wave-particle interactions lorentz transform&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Maintenance script</name></author>
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	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Wave-Particle_Interactions_and_the_Lorentz_Transform&amp;diff=1775&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
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		<updated>2016-12-30T02:46:00Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox paper&lt;br /&gt;
| title = Wave-Particle Interactions and the Lorentz Transform&lt;br /&gt;
| author = [[Sidney Bertram]]&lt;br /&gt;
| published = 1997&lt;br /&gt;
| journal = [[Galilean Electrodynamics]]&lt;br /&gt;
| volume = [[8]]&lt;br /&gt;
| number = [[1]]&lt;br /&gt;
| pages = 3-4&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
A moving particle, represented by its associated plane wave, is assumed to interact with a stationary target particle by the generation of Huygens&amp;#039; sources in the local media. These sources add along a continuum of cones whose apices are on the moving particle and, in combination, constitute a wave that converges on the target along a cone that is orthogonal to them. It is shown that the x&amp;#039; and t&amp;#039;  coordinates of the Lorentz transform describe the motion on the orthogonal cone that corresponds with the motion of the particle as described by the x  and t  coordinates.[[Category:Scientific Paper]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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