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	<title>On Physical Lines of Force/Explainers - Revision history</title>
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	<updated>2026-10-21T05:40:42Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=6699&amp;oldid=prev</id>
		<title>PMA Publisher: Published from the Principia Machina source</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=6699&amp;oldid=prev"/>
		<updated>2026-10-15T19:30:49Z</updated>

		<summary type="html">&lt;p&gt;Published from the Principia Machina source&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;← 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 19:30, 15 October 2026&lt;/td&gt;
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&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;{{On Physical Lines of Force map}}&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;&amp;#039;&amp;#039;[[On Physical Lines of Force]] → Explainers&amp;#039;&amp;#039;&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;#039;&amp;#039;[[On Physical Lines of Force]] → Explainers&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>PMA Publisher</name></author>
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	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=789&amp;oldid=prev</id>
		<title>BFP Rauch: Add DISPLAYTITLE: title the page by its section rather than its path</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=789&amp;oldid=prev"/>
		<updated>2026-09-16T04:47:35Z</updated>

		<summary type="html">&lt;p&gt;Add DISPLAYTITLE: title the page by its section rather than its path&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 04:47, 16 September 2026&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;#039;&amp;#039;[[On Physical Lines of Force]] → Explainers&amp;#039;&amp;#039;&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;#039;&amp;#039;[[On Physical Lines of Force]] → Explainers&amp;#039;&amp;#039;&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;&amp;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&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;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=95&amp;oldid=prev</id>
		<title>BFP Rauch: 1 revision imported: Maxwell, On Physical Lines of Force — initial import</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=95&amp;oldid=prev"/>
		<updated>2026-09-02T05:51:36Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported: Maxwell, On Physical Lines of Force — initial import&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 05:51, 2 September 2026&lt;/td&gt;
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		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=94&amp;oldid=prev</id>
		<title>opl&gt;Import: Imported from the DokuWiki edition</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Explainers&amp;diff=94&amp;oldid=prev"/>
		<updated>2026-09-02T05:13:06Z</updated>

		<summary type="html">&lt;p&gt;Imported from the DokuWiki edition&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force]] → Explainers&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
Thirteen short pages covering each major idea in the paper, written for a general reader. No equations. Each answers one question and can be read on its own, though they follow a natural order.&lt;br /&gt;
&lt;br /&gt;
If you read them straight through you will have the whole argument of the paper without meeting a single formula.&lt;br /&gt;
&lt;br /&gt;
== The problem ==&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/What is a line of force|What is a line of force?]]&amp;#039;&amp;#039;&amp;#039; — the iron filings, and why Faraday thought they meant something&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Why Maxwell wanted a mechanism|Why Maxwell wanted a mechanism]]&amp;#039;&amp;#039;&amp;#039; — what was unsatisfying about action at a distance, and why he chose stress over waves&lt;br /&gt;
&lt;br /&gt;
== The machine ==&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/The sea of spinning cells|The sea of spinning cells]]&amp;#039;&amp;#039;&amp;#039; — what Maxwell put in empty space, and why spinning things&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Why spinning makes a pull|Why spinning makes a pull]]&amp;#039;&amp;#039;&amp;#039; — how centrifugal force becomes magnetic attraction&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/What is an electric current|What is an electric current?]]&amp;#039;&amp;#039;&amp;#039; — the gear-train problem, and the particles that solve it&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Why a changing magnet makes a current|Why a changing magnet makes a current]]&amp;#039;&amp;#039;&amp;#039; — induction as the inertia of flywheels&lt;br /&gt;
&lt;br /&gt;
== The two discoveries ==&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Why the cells had to be springy|Why the cells had to be springy]]&amp;#039;&amp;#039;&amp;#039; — a repair made for an unrelated reason&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/The missing term|The missing term]]&amp;#039;&amp;#039;&amp;#039; — the addition that made radio possible&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Two ways to measure electricity|Two ways to measure electricity]]&amp;#039;&amp;#039;&amp;#039; — and why their ratio is a speed&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/How Maxwell found the speed of light|How Maxwell found the speed of light]]&amp;#039;&amp;#039;&amp;#039; — two electrical measurements, one optical answer&lt;br /&gt;
&lt;br /&gt;
== The last part, and after ==&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/Magnetism twists light|Magnetism twists light]]&amp;#039;&amp;#039;&amp;#039; — Faraday&amp;#039;s discovery, and why it convinced Maxwell that magnetism is rotation&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/A wrong model that produced right answers|A wrong model that produced right answers]]&amp;#039;&amp;#039;&amp;#039; — what to make of a theory whose mechanism was abandoned&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[On Physical Lines of Force/Explainers/What came after|What came after]]&amp;#039;&amp;#039;&amp;#039; — 1865, 1873, and the verdict&lt;br /&gt;
&lt;br /&gt;
== If you only read one ==&lt;br /&gt;
&lt;br /&gt;
[[On Physical Lines of Force/Explainers/The missing term|The missing term]]. It is the shortest path to understanding why this paper matters, and it contains the single strangest fact in the history of physics: the term that makes wireless communication possible was added to fix a difficulty about imaginary spinning cells.&lt;br /&gt;
&lt;br /&gt;
== Where to go next ==&lt;br /&gt;
&lt;br /&gt;
* The [[On Physical Lines of Force/Introduction|Introduction]] gives the same story at more length, with a little mathematics.&lt;br /&gt;
* The four &amp;#039;&amp;#039;&amp;#039;Part&amp;#039;&amp;#039;&amp;#039; sections — [[On Physical Lines of Force/Part I|I]], [[On Physical Lines of Force/Part II|II]], [[On Physical Lines of Force/Part III|III]], [[On Physical Lines of Force/Part IV|IV]] — follow Maxwell&amp;#039;s own argument and quote him at length.&lt;br /&gt;
* The [[On Physical Lines of Force/Modern derivations|modern derivations]] take each result through to the equations as they are written today.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>opl&gt;Import</name></author>
	</entry>
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