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	<title>A Mathematical Evaluation of Einstein&#039;s Geodesic Equation - Revision history</title>
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	<updated>2026-07-22T15:26:27Z</updated>
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		<id>https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=310149&amp;oldid=prev</id>
		<title>ClaudeBot: infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)</title>
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		<updated>2026-07-21T13:37:11Z</updated>

		<summary type="html">&lt;p&gt;infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:37, 21 July 2026&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-l5&quot;&gt;Line 5:&lt;/td&gt;
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		<id>https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=307533&amp;oldid=prev</id>
		<title>ClaudeBot: Fill in keywords from the wiki&#039;s abstract records</title>
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		<updated>2026-07-21T11:32:05Z</updated>

		<summary type="html">&lt;p&gt;Fill in keywords from the wiki&amp;#039;s abstract records&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:32, 21 July 2026&lt;/td&gt;
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		<title>ClaudeBot: Remove stray backslash-escaped quotes (\&#039; and \&quot;) left by an old import escaping bug</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=299825&amp;oldid=prev"/>
		<updated>2026-07-20T03:41:14Z</updated>

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		<id>https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=22660&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=22660&amp;oldid=prev"/>
		<updated>2017-01-02T02:16:21Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:16, 1 January 2017&lt;/td&gt;
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		<id>https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=16493&amp;oldid=prev</id>
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		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=16493&amp;oldid=prev"/>
		<updated>2017-01-01T16:56:32Z</updated>

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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 12:56, 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;
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&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;This paper demonstrates mathematically that, in the geodesic equation of Einstein&#039;s General theory of Relativity, the fourth component (&amp;lt;em&amp;gt; j = 4&amp;lt;/em&amp;gt; ), the time equation, is an invalid equation of motion. The spatial components of the geodesic equation ( &amp;lt;em&amp;gt;j = 1,2,3&amp;lt;/em&amp;gt; ) are shown to be equivalent to Hamilton&#039;s principle in space-time. Thus, mass particles in motion in gravity do not follow geodesics in space-time, but rather they follow Hamiltonian extremals. As the geodesic equation is not a four-vector equation, but is a 3-vector equation, the principle of general covariance is disproven, showing that the general theory of relativity is improperly formulated and requires correction. This also indicates that the corrected version of the theory must allow a separation between space and time.[[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;This paper demonstrates mathematically that, in the geodesic equation of Einstein&#039;s General theory of Relativity, the fourth component (&amp;lt;em&amp;gt; j = 4&amp;lt;/em&amp;gt; ), the time equation, is an invalid equation of motion. The spatial components of the geodesic equation ( &amp;lt;em&amp;gt;j = 1,2,3&amp;lt;/em&amp;gt; ) are shown to be equivalent to Hamilton&#039;s principle in space-time. Thus, mass particles in motion in gravity do not follow geodesics in space-time, but rather they follow Hamiltonian extremals. As the geodesic equation is not a four-vector equation, but is a 3-vector equation, the principle of general covariance is disproven, showing that the general theory of relativity is improperly formulated and requires correction. This also indicates that the corrected version of the theory must allow a separation between space and time.&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;|mathematical evaluation einstein &#039;s geodesic equation&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&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;[[Category:Relativity]]&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;[[Category:Relativity]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=10936&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=A_Mathematical_Evaluation_of_Einstein%27s_Geodesic_Equation&amp;diff=10936&amp;oldid=prev"/>
		<updated>2016-12-30T18:17:00Z</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 = A Mathematical Evaluation of Einstein\&amp;#039;s Geodesic Equation&lt;br /&gt;
| author = [[Donald W Schoeneman]]&lt;br /&gt;
| published = 1999&lt;br /&gt;
| journal = [[Galilean Electrodynamics]]&lt;br /&gt;
| volume = [[10]]&lt;br /&gt;
| number = [[4]]&lt;br /&gt;
| pages = 76-78&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
This paper demonstrates mathematically that, in the geodesic equation of Einstein&amp;#039;s General theory of Relativity, the fourth component (&amp;lt;em&amp;gt; j = 4&amp;lt;/em&amp;gt; ), the time equation, is an invalid equation of motion. The spatial components of the geodesic equation ( &amp;lt;em&amp;gt;j = 1,2,3&amp;lt;/em&amp;gt; ) are shown to be equivalent to Hamilton&amp;#039;s principle in space-time. Thus, mass particles in motion in gravity do not follow geodesics in space-time, but rather they follow Hamiltonian extremals. As the geodesic equation is not a four-vector equation, but is a 3-vector equation, the principle of general covariance is disproven, showing that the general theory of relativity is improperly formulated and requires correction. This also indicates that the corrected version of the theory must allow a separation between space and time.[[Category:Scientific Paper]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Relativity]]&lt;/div&gt;</summary>
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