Update 2022-03-24 08:43
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@@ -1,7 +1,7 @@
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-03-22 Tue 10:52 -->
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<!-- 2022-03-24 Thu 08:42 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1293,7 +1293,7 @@ Table of contents
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</summary>
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<ul>
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<li>
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<a href="./qed_t.html#qed_t">QED today</a><span class="headline-id">qed.t</span>
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<a href="./qed_L.html#qed_L">Lagrangian</a><span class="headline-id">qed.L</span>
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</li>
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@@ -1616,7 +1616,7 @@ Table of contents
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<p>
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Newton's second law remains valid provided we use the relativistic momentum:
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</p>
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<div class="core div" id="org11c93db">
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<div class="core div" id="orge52f1a4">
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<p>
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<b>Newton's law</b> <i>(relativistic case)</i>
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\[
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@@ -1626,7 +1626,7 @@ Newton's second law remains valid provided we use the relativistic momentum:
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</div>
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<div class="example div" id="org4050d88">
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<div class="example div" id="orgab74cfb">
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<p>
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<b>Example: motion under a constant force</b>
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</p>
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@@ -1657,7 +1657,7 @@ The particle's world line thus shows <b>hyperbolic motion</b>.
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</p>
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<figure id="orgd090155">
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<figure id="org9244ff3">
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<object type="image/svg+xml" data="./fig/red/red_motion_under_cst_F.svg" class="org-svg" alt="Relativistic motion under constant force">
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Sorry, your browser does not support SVG.</object>
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@@ -1726,15 +1726,15 @@ whereas the longitudinal component transforms in a complicated way:
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For the specific case where the particle is instantaneously at rest in
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the original frame, then
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</p>
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<div class="main div" id="org7c7f004">
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<div class="eqlabel" id="org37e2037">
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<div class="main div" id="orge9d30a6">
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<div class="eqlabel" id="orga8b151c">
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<p>
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<a id="Ftr0"></a><a href="./red_rm_Mf.html#Ftr0"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgbf7064d">
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<div class="alteqlabels" id="org970f232">
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</div>
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@@ -1755,18 +1755,18 @@ The way to avoid complicated transformation rules is to define a four-vector
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as the derivative of momentum with respect to proper time, which leads to
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the definition of the
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</p>
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<div class="main div" id="orgc529917">
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<div class="main div" id="org8fbba89">
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<p>
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<b>Minkowski force</b>
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</p>
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<div class="eqlabel" id="org24e429b">
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<div class="eqlabel" id="orgd8fe9be">
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<p>
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<a id="MinkF"></a><a href="./red_rm_Mf.html#MinkF"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org6498650">
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<div class="alteqlabels" id="orgcd1fb1c">
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</div>
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@@ -1806,7 +1806,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-03-22 Tue 10:52</p>
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<p class="date">Created: 2022-03-24 Thu 08:42</p>
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<p class="validation"></p>
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</div>
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