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Update 2022-03-15 10:07

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Jean-Sébastien
2022-03-15 10:07:27 +01:00
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<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-07 Mon 20:38 -->
<!-- 2022-03-15 Tue 08:10 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1310,10 +1310,6 @@ Table of contents
</summary>
<ul>
<li>
<a href="./d_m.html#d_m">Diagnostics: Mathematical Preliminaries</a><span class="headline-id">d.m</span>
</li>
<li>
<a href="./d_ems.html#d_ems">Diagnostics: Electromagnetostatics</a><span class="headline-id">d.ems</span>
</li>
@@ -1352,6 +1348,10 @@ Table of contents
<li>
<a href="./d_red.html#d_red">Diagnostics: Relativistic Electrodynamics</a><span class="headline-id">d.red</span>
</li>
<li>
<a href="./d_m.html#d_m">Diagnostics: Compendium - Mathematics</a><span class="headline-id">d.m</span>
</li>
</ul>
@@ -1615,7 +1615,7 @@ Table of contents
<div class="outline-text-4" id="text-red_sr_Lt">
<p>
To talk about coordinate transformations, it is necessary to talk about
{\it events}, namely occurrences at a specific point in space and time.
<b>events</b>, namely occurrences at a specific point in space and time.
</p>
<p>
@@ -1670,9 +1670,9 @@ where \(\bar{d}\) is the distance from \({\cal O}\) to \({\cal A}\) at time
\]
Solving these relations yields the dictionary for
</p>
<div class="core div" id="orgb1682ac">
<div class="core div" id="org585b32e">
<p>
{\bf Lorentz transformations (motion along \(x\) at velocity \(v\))}
<b>Lorentz transformations</b> (motion along \(x\) at velocity \(v\))
</p>
\begin{align}
\bar{t} &amp;= \gamma \left( t - \frac{v}{c^2} x \right), &amp; \bar{y} &amp;= y, \nonumber\\
@@ -1682,7 +1682,7 @@ Solving these relations yields the dictionary for
</div>
<p>
\paragraph{Einstein's velocity addition rule.} Using these rules,
<b>Einstein's velocity addition rule</b>: using these rules,
one can show that velocities add as
\[
v_{13} = \frac{v_{12} + v_{23}}{1 + v_{12}v_{23}/c^2}
@@ -1709,7 +1709,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-03-07 Mon 20:38</p>
<p class="date">Created: 2022-03-15 Tue 08:10</p>
<p class="validation"></p>
</div>