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	<id>https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=Appendix%2FRamblings%2FDarkMatterMusings</id>
	<title>Appendix/Ramblings/DarkMatterMusings - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=Appendix%2FRamblings%2FDarkMatterMusings"/>
	<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;action=history"/>
	<updated>2026-04-29T00:41:23Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2785&amp;oldid=prev</id>
		<title>Joel2 at 00:24, 15 October 2024</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2785&amp;oldid=prev"/>
		<updated>2024-10-15T00:24:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 20:24, 14 October 2024&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-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&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;&amp;lt;ul&amp;gt;&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;&amp;lt;ul&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[http://adsabs.harvard.edu/abs/1983IAUS..100..205T &amp;#039;&amp;#039;Stabilizing a Cold Disk with a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; Force Law.&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[http://adsabs.harvard.edu/abs/1983IAUS..100..205T &amp;#039;&amp;#039;Stabilizing a Cold Disk with a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; Force Law.&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&lt;/div&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;&amp;lt;li&amp;gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http&lt;/del&gt;://www.phys.lsu.edu/faculty/tohline/vita/Tohline.C5.pdf &#039;&#039;Does Gravity Exhibit a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force on the Scale of Galaxies?&#039;&#039;]&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;https&lt;/ins&gt;://www.phys.lsu.edu/faculty/tohline/vita/Tohline.C5.pdf &#039;&#039;Does Gravity Exhibit a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force on the Scale of Galaxies?&#039;&#039;]&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;/ul&amp;gt;&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;&amp;lt;/ul&amp;gt;&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 colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l20&quot;&gt;Line 20:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 20:&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;&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;&amp;lt;ul&amp;gt;&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;&amp;lt;ul&amp;gt;&lt;/div&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;&amp;lt;li&amp;gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http&lt;/del&gt;://www.phys.lsu.edu/faculty/tohline/TinsleyNotes1978.pdf Notes from Beatrice Tinsley] showing that she, too, had given some thought to the implications of a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity in 1978.&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;https&lt;/ins&gt;://www.phys.lsu.edu/faculty/tohline/TinsleyNotes1978.pdf Notes from Beatrice Tinsley] showing that she, too, had given some thought to the implications of a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity in 1978.&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[[DarkMatter/VeraRubin|Early interactions with Vera Rubin]].&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[[DarkMatter/VeraRubin|Early interactions with Vera Rubin]].&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[[DarkMatter/UniformSphere|Attraction associated with a uniform-density sphere]] &amp;amp;#8212; my derivation in the early &amp;#039;80s, with the kind assistance of LSU Professor Attipat K. Rajagopal.&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[[DarkMatter/UniformSphere|Attraction associated with a uniform-density sphere]] &amp;amp;#8212; my derivation in the early &amp;#039;80s, with the kind assistance of LSU Professor Attipat K. Rajagopal.&amp;lt;/li&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2783&amp;oldid=prev</id>
		<title>Joel2: /* Musings Regarding Dark Matter and Dark Energy */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2783&amp;oldid=prev"/>
		<updated>2024-10-15T00:19:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Musings Regarding Dark Matter and Dark Energy&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 20:19, 14 October 2024&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-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&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;&amp;lt;ul&amp;gt;&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;&amp;lt;ul&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[http://adsabs.harvard.edu/abs/1983IAUS..100..205T &amp;#039;&amp;#039;Stabilizing a Cold Disk with a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; Force Law.&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[http://adsabs.harvard.edu/abs/1983IAUS..100..205T &amp;#039;&amp;#039;Stabilizing a Cold Disk with a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; Force Law.&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&lt;/div&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;&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;~&lt;/del&gt;tohline/vita/Tohline.C5.pdf &#039;&#039;Does Gravity Exhibit a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force on the Scale of Galaxies?&#039;&#039;]&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;faculty/&lt;/ins&gt;tohline/vita/Tohline.C5.pdf &#039;&#039;Does Gravity Exhibit a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force on the Scale of Galaxies?&#039;&#039;]&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;/ul&amp;gt;&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;&amp;lt;/ul&amp;gt;&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;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2782&amp;oldid=prev</id>
		<title>Joel2: /* Musings Regarding Dark Matter and Dark Energy */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2782&amp;oldid=prev"/>
		<updated>2024-10-15T00:18:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Musings Regarding Dark Matter and Dark Energy&lt;/span&gt;&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 20:18, 14 October 2024&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-l20&quot;&gt;Line 20:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 20:&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;
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&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;&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;~&lt;/del&gt;tohline/TinsleyNotes1978.pdf Notes from Beatrice Tinsley] showing that she, too, had given some thought to the implications of a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity in 1978.&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;faculty/&lt;/ins&gt;tohline/TinsleyNotes1978.pdf Notes from Beatrice Tinsley] showing that she, too, had given some thought to the implications of a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity in 1978.&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[[DarkMatter/VeraRubin|Early interactions with Vera Rubin]].&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[[DarkMatter/VeraRubin|Early interactions with Vera Rubin]].&amp;lt;/li&amp;gt;&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;div&gt;&amp;lt;li&amp;gt;[[DarkMatter/UniformSphere|Attraction associated with a uniform-density sphere]] &amp;amp;#8212; my derivation in the early &amp;#039;80s, with the kind assistance of LSU Professor Attipat K. Rajagopal.&amp;lt;/li&amp;gt;&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;&amp;lt;li&amp;gt;[[DarkMatter/UniformSphere|Attraction associated with a uniform-density sphere]] &amp;amp;#8212; my derivation in the early &amp;#039;80s, with the kind assistance of LSU Professor Attipat K. Rajagopal.&amp;lt;/li&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2192&amp;oldid=prev</id>
		<title>Joel2 at 21:57, 11 July 2024</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2192&amp;oldid=prev"/>
		<updated>2024-07-11T21:57:48Z</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 17:57, 11 July 2024&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-l1&quot;&gt;Line 1:&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;&amp;lt;!-- __NOTOC__ will force TOC off --&amp;gt;&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;&amp;lt;!-- __NOTOC__ will force TOC off --&amp;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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;NOTE:  Initially these comments were presented as part of an [[OldVistrailsCoverPage#Musings_Regarding_Dark_Matter_and_Dark_Energy|overview that appeared on the VisTrails MediaWiki engine]].&lt;/ins&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&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;div&gt;=Musings Regarding Dark Matter and Dark Energy=&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;=Musings Regarding Dark Matter and Dark Energy=&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;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2191&amp;oldid=prev</id>
		<title>Joel2: Created page with &quot;&lt;!-- __FORCETOC__ will force the creation of a Table of Contents --&gt; &lt;!-- __NOTOC__ will force TOC off --&gt; =Musings Regarding Dark Matter and Dark Energy=  [&lt;font color=&quot;red&quot;&gt;Joel E. Tohline recollection on 3/8/2015&lt;/font&gt;]  It was during my first year (July 1978 - June 1979) as a J. Willard Gibbs Instructor in the Astronomy Department at Yale University that I started wondering whether the nearly ubiquitous display of &quot;flat rotation curves&quot; in disk galaxies might be exp...&quot;</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/DarkMatterMusings&amp;diff=2191&amp;oldid=prev"/>
		<updated>2024-07-11T21:52:23Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;!-- __FORCETOC__ will force the creation of a Table of Contents --&amp;gt; &amp;lt;!-- __NOTOC__ will force TOC off --&amp;gt; =Musings Regarding Dark Matter and Dark Energy=  [&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;Joel E. Tohline recollection on 3/8/2015&amp;lt;/font&amp;gt;]  It was during my first year (July 1978 - June 1979) as a J. Willard Gibbs Instructor in the Astronomy Department at Yale University that I started wondering whether the nearly ubiquitous display of &amp;quot;flat rotation curves&amp;quot; in disk galaxies might be exp...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;!-- __FORCETOC__ will force the creation of a Table of Contents --&amp;gt;&lt;br /&gt;
&amp;lt;!-- __NOTOC__ will force TOC off --&amp;gt;&lt;br /&gt;
=Musings Regarding Dark Matter and Dark Energy=&lt;br /&gt;
&lt;br /&gt;
[&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;Joel E. Tohline recollection on 3/8/2015&amp;lt;/font&amp;gt;]  It was during my first year (July 1978 - June 1979) as a J. Willard Gibbs Instructor in the Astronomy Department at Yale University that I started wondering whether the nearly ubiquitous display of &amp;quot;flat rotation curves&amp;quot; in disk galaxies might be explained, not via the dark matter hypothesis, but by invoking a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity at large distances.  My reasoning was simple:&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;I was uncomfortable with the &amp;quot;dark matter&amp;quot; hypothesis, which smelled to me like the story of aether, all over again.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;If Isaac Newton had been handed Vera Rubin&amp;#039;s observations &amp;amp;#8212; which showed that orbital velocities were approximately constant with distance &amp;amp;#8212; instead of Kepler&amp;#039;s observations &amp;amp;#8212; which showed that orbital velocities behaved as &amp;lt;math&amp;gt;v \propto r^{-1/2}&amp;lt;/math&amp;gt; &amp;amp;#8212; he likely would have hypothesized that the gravitational acceleration due to a central point mass is proportional to &amp;lt;math&amp;gt;r^{-1}&amp;lt;/math&amp;gt; instead of &amp;lt;math&amp;gt;r^{-2}&amp;lt;/math&amp;gt;.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
While I put quite a lot of thought into this idea in the late &amp;#039;70s and early &amp;#039;80s &amp;amp;#8212; and I still give it some thought from time to time because I consider the astrophysics community&amp;#039;s fundamental understanding of &amp;quot;dark matter&amp;quot; and now, too, &amp;quot;dark energy&amp;quot; to be weak &amp;amp;#8212; I produced only two publications on the topic, neither of which was in a refereed archival journal:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[http://adsabs.harvard.edu/abs/1983IAUS..100..205T &amp;#039;&amp;#039;Stabilizing a Cold Disk with a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; Force Law.&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/~tohline/vita/Tohline.C5.pdf &amp;#039;&amp;#039;Does Gravity Exhibit a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force on the Scale of Galaxies?&amp;#039;&amp;#039;]&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
From time to time, I plan to post here some of the research notes that I have generated on this topic over the years, as well as recollections of discussions of the topic that I have had with professional colleagues.  I begin by posting a scanned copy of one of my most cherished possessions from my time at Yale.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[http://www.phys.lsu.edu/~tohline/TinsleyNotes1978.pdf Notes from Beatrice Tinsley] showing that she, too, had given some thought to the implications of a &amp;lt;math&amp;gt;1/r&amp;lt;/math&amp;gt; force-law for gravity in 1978.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[[DarkMatter/VeraRubin|Early interactions with Vera Rubin]].&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[[DarkMatter/UniformSphere|Attraction associated with a uniform-density sphere]] &amp;amp;#8212; my derivation in the early &amp;#039;80s, with the kind assistance of LSU Professor Attipat K. Rajagopal.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[[DarkMatter/CK2015|Remarks on Christodoulou &amp;amp;amp; Kazanas (2015)]].&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;[[Appendix/Ramblings/StrongNuclearForce|Radial Dependence of the Strong Nuclear Force]]&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[&amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;Joel E. Tohline on 24 October 2022&amp;lt;/font&amp;gt;] Today I stumbled on the following interesting paper:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
  &amp;lt;li&amp;gt;&lt;br /&gt;
[https://www.raa-journal.org/issues/all/2014/v14n10/202203/P020220325476789616599.pdf C. Lu, Z.-W. Li, S.-F. Yuan, Z. Wan, S.-H. Qin, K. Zhu, &amp;amp;amp; Y. Xie (2014), Research in Astronomy and Astrophysics, Vol. 14, No. 10, pp. 1301 - 1306]: &amp;amp;nbsp; &amp;#039;&amp;#039;Preliminary Limits on a Logarithmic Correction to the Newtonian Gravitational Potential in Binary Pulsars&amp;#039;&amp;#039;.  They &amp;quot;estimate the upper limit of the &amp;lt;b&amp;gt;Tohline-Kuhn-Kruglyak&amp;lt;/b&amp;gt; parameter &amp;amp;lambda; &amp;amp;hellip;&amp;quot;  They, in turn, refer to the following &amp;amp;hellip;&lt;br /&gt;
    &amp;lt;ul&amp;gt;&lt;br /&gt;
      &amp;lt;li&amp;gt;[https://ui.adsabs.harvard.edu/abs/1977AN....298...65M/abstract J. P. M&amp;amp;uuml;cket &amp;amp;amp; H.-J. Treder (1977, Astronomische Nachrichten, Vol. 298, Issue 2, p. 65)] &amp;lt;-- First to consider &amp;#039;&amp;#039;The Perihelion Advance according to a Post-Newtonian Gravitational Law with Logarithmic Correction Term&amp;#039;&amp;#039; in the context of planets.&amp;lt;/li&amp;gt;&lt;br /&gt;
      &amp;lt;li&amp;gt;[https://ui.adsabs.harvard.edu/abs/2012PhR...513....1C/abstract T. Clifton, P. G. Ferreira, A. Padilla, &amp;amp;amp; C. Skordis (2012, Physics Reports, Vol. 513, Issue 1, pp. 1 - 189)] &amp;lt;-- recent review titled, &amp;#039;&amp;#039;Modified Gravity and Cosmology&amp;#039;&amp;#039;.&amp;lt;/li&amp;gt;&lt;br /&gt;
    &amp;lt;/ul&amp;gt;&lt;br /&gt;
  &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=See Also=&lt;br /&gt;
&lt;br /&gt;
{{ SGFfooter }}&lt;/div&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
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