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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,7 +1616,7 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li><li>Next:&nbsp;<a href="red_rm_rme.html">Relativistic Momentum and Energy&emsp;<small>[red.rm.rme]</small></a></li><li>Up:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li></ul><div id="outline-container-red_rm_pt" class="outline-4">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="red.html">Relativistic Electrodynamics</a></li><li><a class="breadcrumb-link"href="red_rm.html">Relativistic Mechanics</a></li><li>Proper Time and Proper Velocity</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li><li>Next:&nbsp;<a href="red_rm_rme.html">Relativistic Momentum and Energy&emsp;<small>[red.rm.rme]</small></a></li><li>Up:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li></ul><div id="outline-container-red_rm_pt" class="outline-4">
<h4 id="red_rm_pt">Proper Time and Proper Velocity<a class="headline-permalink" href="./red_rm_pt.html#red_rm_pt"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<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"/>
<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"/>
@@ -1638,7 +1638,7 @@ and this is called the {\bf ordinary velocity}.
The {\bf proper velocity} is defined as the hybrid-frame quantity
(distance as measured on the ground) divided by (proper time interval):
</p>
<div class="core div" id="orgf476526">
<div class="core div" id="org404d87f">
<p>
{\bf Proper velocity}
\[
@@ -1660,7 +1660,7 @@ By adding the zeroth component
\]
we can define the
</p>
<div class="core div" id="org3faa2b1">
<div class="core div" id="orgd3c8643">
<p>
{\bf four-velocity} or {\bf proper velocity four-vector}
\[
@@ -1693,10 +1693,21 @@ for our usual relative frame velocity of \(v\) in the \(x\) direction,
<hr><div id="postamble" class="status">
<hr>
<div class="license">
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target="_blank" class="m-2">
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src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
</a>
Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>