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	<title>The Principia Machina/UWC/RP1/TFK/TrM - Revision history</title>
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	<updated>2026-10-21T10:23:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://invarians.org/index.php?title=The_Principia_Machina/UWC/RP1/TFK/TrM&amp;diff=6021&amp;oldid=prev</id>
		<title>TPX: TPX: TFK/TrM for RP1</title>
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		<updated>2026-10-07T23:12:23Z</updated>

		<summary type="html">&lt;p&gt;TPX: TFK/TrM for RP1&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;!-- TPM TFK/TrM for RP1; immutable; written by TPX from the certified draft --&amp;gt;&lt;br /&gt;
&amp;lt;pre class=&amp;quot;tpm-zone&amp;quot;&amp;gt;&lt;br /&gt;
{&lt;br /&gt;
  &amp;quot;ENTRIES&amp;quot;: [&lt;br /&gt;
    {&lt;br /&gt;
      &amp;quot;BEARS&amp;quot;: [],&lt;br /&gt;
      &amp;quot;DIMENSION&amp;quot;: &amp;quot;T1&amp;quot;,&lt;br /&gt;
      &amp;quot;DOF&amp;quot;: &amp;quot;t&amp;quot;,&lt;br /&gt;
      &amp;quot;DOMAIN&amp;quot;: &amp;quot;always&amp;quot;,&lt;br /&gt;
      &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;time&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER&amp;quot;: &amp;quot;a second clock differing by more than offset beyond uncertainty&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER_CLASS&amp;quot;: &amp;quot;F3&amp;quot;,&lt;br /&gt;
      &amp;quot;IDENTIFICATION&amp;quot;: &amp;quot;t is the reading of a laboratory clock from an arbitrary origin&amp;quot;,&lt;br /&gt;
      &amp;quot;NAME&amp;quot;: &amp;quot;E_t&amp;quot;&lt;br /&gt;
    },&lt;br /&gt;
    {&lt;br /&gt;
      &amp;quot;BEARS&amp;quot;: [&lt;br /&gt;
        &amp;quot;EOM_THETA&amp;quot;,&lt;br /&gt;
        &amp;quot;KIN&amp;quot;&lt;br /&gt;
      ],&lt;br /&gt;
      &amp;quot;DIMENSION&amp;quot;: &amp;quot;1&amp;quot;,&lt;br /&gt;
      &amp;quot;DOF&amp;quot;: &amp;quot;theta&amp;quot;,&lt;br /&gt;
      &amp;quot;DOMAIN&amp;quot;: &amp;quot;|theta| &amp;lt; theta_max&amp;quot;,&lt;br /&gt;
      &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;angle&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER&amp;quot;: &amp;quot;measured angle not proportional to restoring torque inside domain&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER_CLASS&amp;quot;: &amp;quot;F3&amp;quot;,&lt;br /&gt;
      &amp;quot;IDENTIFICATION&amp;quot;: &amp;quot;theta is angular displacement from downward vertical equilibrium&amp;quot;,&lt;br /&gt;
      &amp;quot;NAME&amp;quot;: &amp;quot;E_theta&amp;quot;&lt;br /&gt;
    },&lt;br /&gt;
    {&lt;br /&gt;
      &amp;quot;BEARS&amp;quot;: [&lt;br /&gt;
        &amp;quot;KIN&amp;quot;&lt;br /&gt;
      ],&lt;br /&gt;
      &amp;quot;DIMENSION&amp;quot;: &amp;quot;T-1&amp;quot;,&lt;br /&gt;
      &amp;quot;DOF&amp;quot;: &amp;quot;omega&amp;quot;,&lt;br /&gt;
      &amp;quot;DOMAIN&amp;quot;: &amp;quot;|theta| &amp;lt; theta_max&amp;quot;,&lt;br /&gt;
      &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;angular_velocity&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER&amp;quot;: &amp;quot;measured angular velocity differing from rate of change of theta beyond uncertainty&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER_CLASS&amp;quot;: &amp;quot;F2&amp;quot;,&lt;br /&gt;
      &amp;quot;IDENTIFICATION&amp;quot;: &amp;quot;omega is the time rate of change of theta&amp;quot;,&lt;br /&gt;
      &amp;quot;NAME&amp;quot;: &amp;quot;E_omega&amp;quot;&lt;br /&gt;
    },&lt;br /&gt;
    {&lt;br /&gt;
      &amp;quot;BEARS&amp;quot;: [&lt;br /&gt;
        &amp;quot;EOM_Z&amp;quot;,&lt;br /&gt;
        &amp;quot;C_NOZ&amp;quot;&lt;br /&gt;
      ],&lt;br /&gt;
      &amp;quot;DIMENSION&amp;quot;: &amp;quot;L1&amp;quot;,&lt;br /&gt;
      &amp;quot;DOF&amp;quot;: &amp;quot;z&amp;quot;,&lt;br /&gt;
      &amp;quot;DOMAIN&amp;quot;: &amp;quot;always&amp;quot;,&lt;br /&gt;
      &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;out_of_plane&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER&amp;quot;: &amp;quot;measured z different from 0 beyond uncertainty&amp;quot;,&lt;br /&gt;
      &amp;quot;FALSIFIER_CLASS&amp;quot;: &amp;quot;F3&amp;quot;,&lt;br /&gt;
      &amp;quot;IDENTIFICATION&amp;quot;: &amp;quot;z is perpendicular displacement of bob from oscillation plane&amp;quot;,&lt;br /&gt;
      &amp;quot;NAME&amp;quot;: &amp;quot;E_z&amp;quot;&lt;br /&gt;
    }&lt;br /&gt;
  ],&lt;br /&gt;
  &amp;quot;HEADER&amp;quot;: {&lt;br /&gt;
    &amp;quot;ENVIRONMENT_INVENTORY&amp;quot;: [&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;DIMENSION&amp;quot;: &amp;quot;T1&amp;quot;,&lt;br /&gt;
        &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;time&amp;quot;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;DIMENSION&amp;quot;: &amp;quot;1&amp;quot;,&lt;br /&gt;
        &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;angle&amp;quot;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;DIMENSION&amp;quot;: &amp;quot;T-1&amp;quot;,&lt;br /&gt;
        &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;angular_velocity&amp;quot;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;DIMENSION&amp;quot;: &amp;quot;L1&amp;quot;,&lt;br /&gt;
        &amp;quot;ENVIRONMENT_QUANTITY&amp;quot;: &amp;quot;out_of_plane&amp;quot;&lt;br /&gt;
      }&lt;br /&gt;
    ],&lt;br /&gt;
    &amp;quot;SIGNATURE&amp;quot;: [&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;FORM&amp;quot;: &amp;quot;D(theta, t) = omega&amp;quot;,&lt;br /&gt;
        &amp;quot;IMAGE&amp;quot;: &amp;quot;d/dt maps angle to angular velocity&amp;quot;,&lt;br /&gt;
        &amp;quot;IMAGE_FORM&amp;quot;: &amp;quot;D(angle, time) = angular_velocity&amp;quot;,&lt;br /&gt;
        &amp;quot;NAME&amp;quot;: &amp;quot;time_derivative&amp;quot;,&lt;br /&gt;
        &amp;quot;OVER&amp;quot;: [&lt;br /&gt;
          &amp;quot;theta&amp;quot;,&lt;br /&gt;
          &amp;quot;omega&amp;quot;,&lt;br /&gt;
          &amp;quot;t&amp;quot;&lt;br /&gt;
        ]&lt;br /&gt;
      }&lt;br /&gt;
    ],&lt;br /&gt;
    &amp;quot;TRANSFORMATIONS&amp;quot;: [&lt;br /&gt;
      {&lt;br /&gt;
        &amp;quot;NAME&amp;quot;: &amp;quot;time_translation&amp;quot;,&lt;br /&gt;
        &amp;quot;STATEMENT&amp;quot;: &amp;quot;t -&amp;gt; t + t0&amp;quot;&lt;br /&gt;
      }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
}&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>TPX</name></author>
	</entry>
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