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Update 2022-03-22 10:53

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Jean-Sébastien
2022-03-22 10:53:22 +01:00
parent f8fdc5f8b4
commit 2d1d8d39a4
209 changed files with 1240 additions and 1226 deletions
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build/red_sr_4v.html
+11 -8
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-15 Tue 08:10 -->
<!-- 2022-03-22 Tue 10:52 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1621,7 +1621,7 @@ Table of contents
\]
The Lorentz transformation then reads
</p>
<div class="core div" id="orgf4d6e6e">
<div class="core div" id="org2ede351">
<p>
<b>Lorentz transformation</b> (motion along \(x\) at velocity \(v\))
\[
@@ -1657,7 +1657,7 @@ upper index are called <b>contravariant</b>. Their lower-index
counterparts are called <b>covariant</b> vectors and are obtained by
using the Minkowski metric \(g_{\mu \nu}\) according to
</p>
<div class="main div" id="orge005c2f">
<div class="main div" id="org1cd4b37">
<p>
\[
a_\mu = \sum_{\nu = 0}^3 g_{\mu \nu} a^\nu, \hspace{10mm}
@@ -1673,7 +1673,7 @@ using the Minkowski metric \(g_{\mu \nu}\) according to
<p>
<b>Scalar products</b> are defined as the in-product of covariant/contravariant four-vectors,
</p>
<div class="main div" id="org411b956">
<div class="main div" id="orgbb985f0">
<p>
\[
\sum_{\mu = 0}^3 a^\mu b_\mu \equiv a^\mu b_\mu
@@ -1708,17 +1708,20 @@ can take positive or negative values. The nomenclature goes as follows:
<tbody>
<tr>
<td class="org-left">\(a^\mu a_\mu &gt; 0\)</td>
<td class="org-left">\(a^\mu\) is {\it spacelike}</td>
<td class="org-left">\(a^\mu\) is <b>spacelike</b>
</td>
</tr>
<tr>
<td class="org-left">\(a^\mu a_\mu &lt; 0\)</td>
<td class="org-left">\(a^\mu\) is {\it timelike}</td>
<td class="org-left">\(a^\mu\) is <b>timelike</b>
</td>
</tr>
<tr>
<td class="org-left">\(a^\mu a_\mu = 0\)</td>
<td class="org-left">\(a^\mu\) is {\it lightlike}</td>
<td class="org-left">\(a^\mu\) is <b>lightlike</b>
</td>
</tr>
</tbody>
</table>
@@ -1766,7 +1769,7 @@ 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: 2022-03-15 Tue 08:10</p>
<p class="date">Created: 2022-03-22 Tue 10:52</p>
<p class="validation"></p>
</div>