{"id":25714,"date":"2022-07-18T00:00:16","date_gmt":"2022-07-18T00:00:16","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25714"},"modified":"2024-05-21T09:42:20","modified_gmt":"2024-05-21T09:42:20","slug":"les-transformations-de-lorentz-de-la-relativite-restreinte","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/","title":{"rendered":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>Les Transformations de Lorentz de la Relativit\u00e9 Restreinte<\/h1>\n<p class=\"eq\"><em><strong>R\u00e9sum\u00e9 :<\/strong><br \/>\nLes transformations de Lorentz permettent de transformer les coordonn\u00e9es observ\u00e9es d&#8217;espace et de temps entre deux r\u00e9f\u00e9rentiels inertiels. Dans cet article, nous examinerons comment les transformations de Lorentz sont obtenues comme une transformation lin\u00e9aire de coordonn\u00e9es qui \u00e9merge de la consid\u00e9ration de la vitesse de la lumi\u00e8re comme constante dans tous les r\u00e9f\u00e9rentiels inertiels et leur convergence avec les transformations de Galil\u00e9e pour des vitesses petites par rapport \u00e0 la vitesse de la lumi\u00e8re.<\/br><\/em><\/p>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><strong>OBJECTIFS D&#8217;APPRENTISSAGE :<\/strong><br \/>\n\u00c0 la fin de ce cours, l&#8217;\u00e9tudiant sera capable de :<\/p>\n<ol>\n<li><strong>Reconna\u00eetre<\/strong> les concepts cl\u00e9s de la relativit\u00e9 restreinte, tels que les Transformations de Lorentz, le \u00abboost de vitesse\u00bb et le \u00abfacteur de Lorentz\u00bb.<\/li>\n<li><strong>Comprendre<\/strong> comment le principe de la constance de la vitesse de la lumi\u00e8re dans tous les cadres inertiels affecte la perception du temps et de l&#8217;espace.<\/li>\n<li><strong>Appliquer<\/strong> les Transformations de Lorentz dans des situations concr\u00e8tes, comme la relation entre les cadres inertiels et la vitesse de la lumi\u00e8re dans diff\u00e9rents r\u00e9f\u00e9rentiels. <\/li>\n<li><strong>Int\u00e9grer<\/strong> les connaissances ant\u00e9rieures des transformations de Galil\u00e9e et de la relativit\u00e9 restreinte pour comprendre comment les Transformations de Lorentz les g\u00e9n\u00e9ralisent et convergent. <\/li>\n<li><strong>D\u00e9composer<\/strong> les Transformations de Lorentz en leurs composants fondamentaux, tels que la constance de la vitesse de la lumi\u00e8re et la lin\u00e9arit\u00e9 dans les transformations de coordonn\u00e9es.<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>INDEX<\/strong><br \/>\n<a href=\"#1\"><strong>Nouvelles consid\u00e9rations<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>D\u00e9rivation des transformations de Lorentz<\/strong><\/a><br \/>\n<a href=\"#3\">R\u00e9capitulation sur les transformations (lin\u00e9aires) de coordonn\u00e9es<\/a><br \/>\n<a href=\"#4\">Introduction de la vitesse de la lumi\u00e8re comme constante universelle<\/a><br \/>\n<a href=\"#5\">Le boost de vitesse et le facteur de Lorentz<\/a><br \/>\n<a href=\"#6\">Synth\u00e8se des transformations de Lorentz<\/a><br \/>\n<a href=\"#7\"><strong>Les transformations de Lorentz convergent et g\u00e9n\u00e9ralisent les transformations de Galil\u00e9e<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/KQby8yJGTSA\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>Nouvelles consid\u00e9rations<\/h2>\n<p style=\"text-align:justify;\">Comme cons\u00e9quence de ce qui a \u00e9t\u00e9 vu dans <a href=\"http:\/\/toposuranos.com\/material\/es\/la-velocidad-de-la-luz-y-las-ondas-electromagneticas\/\" rel=\"noopener\" target=\"_blank\">La Propagation des Ondes \u00c9lectromagn\u00e9tiques dans le Vide<\/a>, en relativit\u00e9 restreinte, il est postul\u00e9 comme principe que la vitesse de la lumi\u00e8re <span class=\"katex-eq\" data-katex-display=\"false\">c<\/span> est la m\u00eame pour tous les cadres inertiels. Mais cette supposition n&#8217;est pas sans cons\u00e9quences, car elle implique les points suivants :<\/p>\n<ol>\n<li>Il faut abandonner les transformations de Galil\u00e9e comme moyen valable de transformer les observations d&#8217;un cadre inertiel dans un autre.<\/li>\n<li>Il faut laisser derri\u00e8re l&#8217;id\u00e9e intuitive que le temps s&#8217;\u00e9coule de la m\u00eame mani\u00e8re pour tous les r\u00e9f\u00e9rentiels inertiels.<\/li>\n<\/ol>\n<p style=\"text-align:justify;\">C&#8217;est \u00e0 travers ces consid\u00e9rations que sont obtenues les <strong>transformations de Lorentz,<\/strong> qui servent de correction et de g\u00e9n\u00e9ralisation aux transformations de Galil\u00e9e, et qui fonctionnent \u00e9galement pour la th\u00e9orie \u00e9lectromagn\u00e9tique.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>D\u00e9rivation des transformations de Lorentz<\/h2>\n<p><a name=\"3\"><\/a><\/p>\n<h3>R\u00e9capitulation sur les transformations (lin\u00e9aires) de coordonn\u00e9es<\/h3>\n<p style=\"text-align:justify;\">Consid\u00e9rons deux cadres inertiels <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> en configuration standard telle que l&#8217;origine seconde se d\u00e9place avec une vitesse constante <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_0 = v_{x_0}\\hat{x}<\/span> par rapport \u00e0 l&#8217;origine du premier. Ce que nous ferons ensuite est de d\u00e9montrer que, si les coordonn\u00e9es d&#8217;un \u00e9v\u00e9nement vues depuis deux syst\u00e8mes inertiels <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> sont li\u00e9es par une transformation lin\u00e9aire comme celle r\u00e9vis\u00e9e dans <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/\" rel=\"noopener\" target=\"_blank\">Le principe de la Relativit\u00e9<\/a> (sp\u00e9cifiquement, <a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/#eq2\" rel=\"noopener\" target=\"_blank\">cette expression<\/a>) et si on accepte le fait que la lumi\u00e8re a la m\u00eame vitesse depuis tous les cadres inertiels, alors la transformation de coordonn\u00e9es correspond justement aux transformations de Lorentz que nous obtiendrons plus tard.\n<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" srcset=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png 1374w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-300x162.png 300w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-1024x552.png 1024w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-768x414.png 768w\" sizes=\"(max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align:justify;\">En principe, les coordonn\u00e9es <span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span> d&#8217;un \u00e9v\u00e9nement vu depuis <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>, et les coordonn\u00e9es <span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span> du m\u00eame \u00e9v\u00e9nement vu depuis <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> qui se d\u00e9place avec une vitesse <span class=\"katex-eq\" data-katex-display=\"false\">v_{v}=v_{x_0}\\hat{x}<\/span> relative \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\">S,<\/span> sont li\u00e9es par une transformation lin\u00e9aire telle que :<\/p>\n<p><a name=\"eq1\"><\/a><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{llr} t^\\prime &amp;= At + Bx, &amp; [1]\\\\ x^\\prime &amp;= Dt + Ex &amp; [2]  \\end{array} <\/span>\n<p style=\"text-align:justify;\">o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">A, B, C<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> sont des constantes \u00e0 d\u00e9terminer et les coordonn\u00e9es <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">z<\/span> ont \u00e9t\u00e9 omises (sans perte de g\u00e9n\u00e9ralit\u00e9) pour simplifier.<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>Introduction de la vitesse de la lumi\u00e8re comme constante universelle<\/h3>\n<p style=\"text-align:justify;\">Les constantes <span class=\"katex-eq\" data-katex-display=\"false\">A, B, D<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> peuvent \u00eatre d\u00e9termin\u00e9es \u00e0 partir de ces nouvelles consid\u00e9rations en invoquant des cas sp\u00e9ciaux. Tout d&#8217;abord, nous devons prendre en compte que la transformation des coordonn\u00e9es exprim\u00e9e par <a href=\"#eq1\">[1]<\/a> et <a href=\"#eq2\">[2]<\/a> doit toujours fonctionner, et par cons\u00e9quent, elle doit fonctionner dans chacun des cas particuliers, qui sont \u00e9nonc\u00e9s ci-apr\u00e8s pour \u00e9tudier leur forme :<\/p>\n<ul>\n<li>\n<p><strong>Consid\u00e9rons l&#8217;\u00e9v\u00e9nement se d\u00e9pla\u00e7ant \u00e0 la vitesse de la lumi\u00e8re :<\/strong> Si cet \u00e9v\u00e9nement a des coordonn\u00e9es <span class=\"katex-eq\" data-katex-display=\"false\">(t,x)<\/span> vues depuis <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">(t^\\prime, x^\\prime)<\/span> vues depuis <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime,<\/span> alors la relation suivante doit \u00eatre satisfaite :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x^2}{t^2} = c^2 = \\frac{{x^\\prime}^2}{{t^\\prime}^2}.<\/span>\n<p>\u00c0 partir de cela, on peut en d\u00e9duire que<\/p>\n<p><a name=\"eq3\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">c^2 t^2 - x^2 = c^2{t^\\prime}^2 - {x^\\prime}^2 = 0\\;\\;\\; [3]<\/span>\n<\/li>\n<li>\n<p><strong>Consid\u00e9rons l&#8217;\u00e9v\u00e9nement se d\u00e9pla\u00e7ant avec le r\u00e9f\u00e9rentiel inertiel <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> :<\/strong><\/p>\n<p>Si l&#8217;\u00e9v\u00e9nement a les m\u00eames coordonn\u00e9es que l&#8217;origine du r\u00e9f\u00e9rentiel inertiel <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime,<\/span> alors on aura <span class=\"katex-eq\" data-katex-display=\"false\">x=v_0 t<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime =0.<\/span> En cons\u00e9quence, \u00e0 partir de l&#8217;\u00e9quation <a href=\"#eq2\">[2]<\/a> on aura :<\/p>\n<p><a name=\"eq4\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp; 0 = Dt + Ev_0 t \\\\ \\equiv &amp; D = -Ev_0\\:\\:\\;[4] \\end{array}<\/span>\n<\/li>\n<li>\n<p><strong>Finalement, consid\u00e9rons l&#8217;\u00e9v\u00e9nement restant avec l&#8217;origine du r\u00e9f\u00e9rentiel inertiel <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> :<\/strong><\/p>\n<p style=\"text-align:justify;\">Dans ce cas, on aura <span class=\"katex-eq\" data-katex-display=\"false\">x=0<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_0 t^\\prime,<\/span> de sorte qu&#8217;\u00e0 partir de l&#8217;\u00e9quation <a href=\"#eq2\">[2]<\/a> on aura :<\/p>\n<p><a name=\"eq5\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp;-v_0t^\\prime = Dt\\\\ \\equiv &amp; t= \\displaystyle -\\frac{v_0}{D} t^\\prime\\;\\;\\;[5] \\end{array}<\/span>\n<p style=\"text-align:justify;\">Ensuite, \u00e0 partir de <a href=\"#eq1\">[1]<\/a> et <a href=\"#eq5\">[5]<\/a> on a :<\/p>\n<p><a name=\"eq6\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp; t^\\prime = A \\left(\\displaystyle -\\frac{v_0}{D}\\right) t^\\prime + \\underbrace{Bx}_{x=0} \\\\ \\\\ \\equiv &amp; \\displaystyle \\frac{-Av_0}{D} = 1 \\\\ \\\\ \\equiv &amp; D = -Av_0\\;\\;\\;[6] \\end{array}<\/span>\n<\/li>\n<\/ul>\n<p style=\"text-align:justify;\">Finalement, de <a href=\"#eq4\">[4]<\/a> et <a href=\"#eq6\">[6]<\/a> : <span class=\"katex-eq\" data-katex-display=\"false\">A = E,<\/span> de sorte que le syst\u00e8me d&#8217;\u00e9quations donn\u00e9 par <a href=\"#eq1\">[1]<\/a> et <a href=\"#eq2\">[2]<\/a> se r\u00e9duit \u00e0<\/p>\n<p><a name=\"eq7\"><\/a> <a name=\"eq8\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rll} t^\\prime &amp;= At + Bx  &amp;  [7]\\\\ \\\\ x^\\prime &amp;= A(x - v_{x_0} t) &amp; [8] \\end{array}<\/span>\n<p><a name=\"5\"><\/a><\/p>\n<h3>Le boost de vitesse et le facteur de Lorentz<\/h3>\n<p style=\"text-align:justify;\">Maintenant, en rempla\u00e7ant <a href=\"#eq7\">[7]<\/a> et <a href=\"#eq8\">[8]<\/a> dans <a href=\"#eq3\">[3]<\/a> on a :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp; c^2 (At +Bx)^2 - A^2 (x - v_{x_0} t)^2 = c^2t^2 - x^2\\\\ \\\\ \\equiv\\; &amp; \\color{blue}{(c^2 A^2) t^2} + \\color{red}{(2c^2 AB)xt} \\color{black} + c^2 B^2 x^2 -  A^2 x^2 + \\color{red} {(2A^2v_{x_0})xt} \\color{black}- \\color{blue}{(A^2 v_{x_0}^2) t^2} \\color{black}= \\color{blue}{(c^2) t^2} \\color{black}- x^2. \\end{array}<\/span>\n<p style=\"text-align:justify;\"><span style=\"color:blue\"><strong>\u00e0 partir de ce qui est rest\u00e9 en bleu, on obtient<\/strong><\/span><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} &amp;c^2 A^2 - A^2 v_{x_0}^2 = c^2 \\\\ \\\\ \\equiv\\;&amp; A^2 (c^2 - v_{x_0}^2) = c^2 \\\\ \\\\ \\equiv\\;&amp; \\displaystyle A^2 = \\frac{c^2}{c^2 - v_{x_0}^2} = \\frac{1}{1 - \\frac{v_{x_0}^2}{c^2}}  \\\\ \\equiv\\;&amp; \\displaystyle A = \\frac{1}{\\sqrt{1 - \\frac{v_{x_0}^2}{c^2}}} \\end{array}<\/span>\n<p><p style=\"text-align:justify;\">Cela est g\u00e9n\u00e9ralement \u00e9crit en rempla\u00e7ant <span class=\"katex-eq\" data-katex-display=\"false\">A=\\gamma_x<\/span> (facteur de contraction de Lorentz) et <span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x = v_{x_0}\/c<\/span> (boost de vitesse), prenant la forme :<\/p>\n<p><a name=\"eq9\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A = \\gamma_x = \\frac{1}{\\sqrt{1 - \\beta_x^2}},\\;\\;\\;[9]<\/span>\n<p style=\"text-align:justify;\">Et en rempla\u00e7ant <a href=\"#eq9\">[9]<\/a> dans <a href=\"#eq2\">[2]<\/a> on obtient :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = \\gamma_x(x - \\beta_x ct)<\/span>\n<p style=\"text-align:justify;\"><span style=\"color:red\"><strong>\u00e0 partir de ce qui reste en rouge, on obtient<\/strong><\/span><\/p>\n<p><a name=\"eq10\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rll} &amp;2c^2 AB + 2A^2v_{x_{x_0}} = 0&amp; \\\\ \\\\ \\equiv\\;&amp; cB^2 + Av_{x_0} = 0 &amp; \\\\ \\\\ \\equiv\\;&amp; B=\\displaystyle -\\frac{1}{c^2}Av_{x_0} = -\\frac{\\gamma_x v_{x_0}}{c^2}&amp; \\\\ \\\\ \\equiv\\;&amp; B=\\displaystyle -\\frac{\\gamma_x \\beta_x}{c} &amp; [10] \\end{array}<\/span>\n<p style=\"text-align:justify;\">ainsi, en rempla\u00e7ant <a href=\"#eq9\">[9]<\/a> et <a href=\"#eq10\">[10]<\/a> dans <a href=\"#eq7\">[7]<\/a> on obtient<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl} &amp;t^\\prime =\\displaystyle \\gamma_x t -\\frac{\\gamma_x \\beta_x}{c} \\\\ \\\\ \\equiv\\; &amp;t^\\prime =\\displaystyle \\gamma_x \\left( t -\\frac{\\beta_x x}{c}\\right)\\\\ \\\\ \\equiv\\; &amp;ct^\\prime =\\displaystyle \\gamma_x \\left( ct - \\beta_x x \\right) \\end{array}<\/span>\n<p><a name=\"6\"><\/a><\/p>\n<h3>Synth\u00e8se des transformations de Lorentz<\/h3>\n<p style=\"text-align:justify;\">Finalement, la transformation lin\u00e9aire qui mod\u00e9lise le changement de coordonn\u00e9es entre les syst\u00e8mes <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> est donn\u00e9e par les expressions suivantes.<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}ct^\\prime &amp;=\\gamma_x \\left( ct - \\beta_x x \\right) \\\\ x^\\prime &amp;= \\gamma_x(x - \\beta_x ct) \\end{array}<\/span>\n<p style=\"text-align:justify;\">Ce syst\u00e8me de transformations peut \u00eatre exprim\u00e9 de mani\u00e8re matricielle comme suit<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\left(\\begin{matrix}ct^\\prime \\\\ x^\\prime \\\\ y^\\prime \\\\ z^\\prime \\end{matrix}\\right) = \\left( \\begin{matrix}\\gamma_x &amp; -\\gamma_x\\beta_x &amp; 0 &amp; 0 \\\\ -\\gamma_x\\beta_x &amp; \\gamma_x &amp; 0 &amp; 0 \\\\  0 &amp; 0 &amp; 1 &amp; 0 \\\\ 0 &amp; 0 &amp; 0 &amp; 1 \\end{matrix} \\right) \\left(\\begin{matrix} ct \\\\ x \\\\ y \\\\ z \\end{matrix} \\right)\n\n<\/span>\n<p style=\"text-align:justify;\">Ceci est ce qu&#8217;on appelle les Transformations de Lorentz de la relativit\u00e9 restreinte<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h2>Les transformations de Lorentz convergent et g\u00e9n\u00e9ralisent les transformations de Galil\u00e9e<\/h2>\n<p style=\"text-align:justify;\">La convergence des transformations de Lorentz vers celles de Galil\u00e9e est observ\u00e9e en examinant ce qui se passe avec les transformations de Lorentz lorsque la vitesse entre les r\u00e9f\u00e9rentiels inertiels est bien inf\u00e9rieure \u00e0 celle de la lumi\u00e8re. Lorsque cela se produit, on a :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> |v_{x_0}| \\ll c \\longrightarrow \\left\\{\\begin{matrix}\\beta_x = \\frac{v_{x_0}}{c} \\approx 0 \\\\ \\\\ \\gamma_x = \\sqrt{1-\\beta_x} \\approx 1 \\\\ \\\\ \\gamma_x \\beta_x c = v_{x_0} \\gamma_x \\approx v_{x_0} \\end{matrix}\\right.  <\/span>\n<p style=\"text-align:justify;\">Ainsi :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\left(\\begin{matrix}ct^\\prime \\\\ x^\\prime \\\\ y^\\prime \\\\ z^\\prime \\end{matrix}\\right) = \\left( \\begin{matrix}\\gamma_x &amp; -\\gamma_x\\beta_x &amp; 0 &amp; 0 \\\\ -\\gamma_x\\beta_x &amp; \\gamma_x &amp; 0 &amp; 0 \\\\  0 &amp; 0 &amp; 1 &amp; 0 \\\\ 0 &amp; 0 &amp; 0 &amp; 1 \\end{matrix} \\right) \\left(\\begin{matrix} ct \\\\ x \\\\ y \\\\ z \\end{matrix} \\right) = \\left(\\begin{matrix} \\gamma_x ct  -\\gamma_x \\beta_x x \\\\ -\\gamma_x \\beta_x c t + \\gamma_x x \\\\ y \\\\ z \\end{matrix} \\right) \\approx \\left(\\begin{matrix} ct \\\\ -v_{x_0}t + x \\\\ y \\\\ z \\end{matrix}\\right)<\/span>\n<p style=\"text-align:justify;\">c&#8217;est-\u00e0-dire :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{array}{rl} t^\\prime &amp;\\approx t \\\\ x^\\prime &amp;\\approx x - v_{x_0}t \\\\ y^\\prime &amp;\\approx y \\\\ z^\\prime &amp;\\approx z \\end{array}\n\n<\/span>\n<p style=\"text-align:justify;\">ce qui correspond exactement aux transformations de Galil\u00e9e. \u00c0 travers cela, on corrobore que les transformations de Lorentz g\u00e9n\u00e9ralisent les transformations de Galil\u00e9e pour des vitesses proches de celle de la lumi\u00e8re et convergent vers celles de Galil\u00e9e lorsque les vitesses sont beaucoup plus faibles que la vitesse de la lumi\u00e8re<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<h2>Conclusions<\/h2>\n<p style=\"text-align:justify;\">\n        Nous avons explor\u00e9 en profondeur les Transformations de Lorentz, un pilier fondamental de la th\u00e9orie de la Relativit\u00e9 Restreinte d&#8217;Einstein. \u00c0 travers une d\u00e9composition et une analyse minutieuses, nous avons vu comment ces transformations \u00e9mergent naturellement de la postulation de la constance de la vitesse de la lumi\u00e8re dans tous les r\u00e9f\u00e9rentiels inertiels. Nous avons d\u00e9montr\u00e9 la pertinence des Transformations de Lorentz, non seulement comme une g\u00e9n\u00e9ralisation et une correction des transformations de Galil\u00e9e, mais aussi comme un cadre essentiel pour comprendre les ph\u00e9nom\u00e8nes physiques dans le domaine de la relativit\u00e9 et de la th\u00e9orie \u00e9lectromagn\u00e9tique.\n    <\/p>\n<p style=\"text-align:justify;\">\n        Comprendre ces mati\u00e8res aidera les \u00e9tudiants \u00e0 se familiariser avec des concepts cl\u00e9s de la physique moderne, tels que le \u00abboost de vitesse\u00bb et le \u00abfacteur de Lorentz\u00bb, et \u00e0 appliquer ces id\u00e9es \u00e0 des situations concr\u00e8tes dans le domaine de la relativit\u00e9. De plus, nous avons vu comment, dans la limite de vitesses bien inf\u00e9rieures \u00e0 celle de la lumi\u00e8re, les Transformations de Lorentz convergent vers celles de Galil\u00e9e, d\u00e9montrant ainsi leur polyvalence et universalit\u00e9 dans l&#8217;\u00e9tude de la dynamique des corps en mouvement.\n    <\/p>\n<p style=\"text-align:justify;\">\n        En r\u00e9sum\u00e9, les Transformations de Lorentz ne repr\u00e9sentent pas seulement une r\u00e9alisation th\u00e9orique significative en physique, mais elles fournissent \u00e9galement un outil indispensable pour la compr\u00e9hension et l&#8217;application pratique des principes de la relativit\u00e9 restreinte dans divers contextes scientifiques et technologiques.\n    <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Les Transformations de Lorentz de la Relativit\u00e9 Restreinte R\u00e9sum\u00e9 : Les transformations de Lorentz permettent de transformer les coordonn\u00e9es observ\u00e9es d&#8217;espace et de temps entre deux r\u00e9f\u00e9rentiels inertiels. Dans cet article, nous examinerons comment les transformations de Lorentz sont obtenues comme une transformation lin\u00e9aire de coordonn\u00e9es qui \u00e9merge de la consid\u00e9ration de la vitesse de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25569,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":51,"footnotes":""},"categories":[647,703],"tags":[],"class_list":["post-25714","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physique","category-relativite"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Les Transformations de Lorentz de la Relativit\u00e9 Restreinte - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le &#039;Boost de vitesse&#039; et le &#039;facteur de Lorentz\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte\" \/>\n<meta property=\"og:description\" content=\"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le &#039;Boost de vitesse&#039; et le &#039;facteur de Lorentz\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-18T00:00:16+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-21T09:42:20+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte\" \/>\n<meta name=\"twitter:description\" content=\"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le &#039;Boost de vitesse&#039; et le &#039;facteur de Lorentz\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#article\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte\",\"datePublished\":\"2022-07-18T00:00:16+00:00\",\"dateModified\":\"2024-05-21T09:42:20+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/\"},\"wordCount\":2092,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/transformaciones-lorentz.jpg\",\"articleSection\":[\"Physique\",\"Relativit\u00e9\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/\",\"name\":\"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#primaryimage\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/transformaciones-lorentz.jpg\",\"datePublished\":\"2022-07-18T00:00:16+00:00\",\"dateModified\":\"2024-05-21T09:42:20+00:00\",\"description\":\"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le 'Boost de vitesse' et le 'facteur de Lorentz\",\"breadcrumb\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#primaryimage\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/transformaciones-lorentz.jpg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/transformaciones-lorentz.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/les-transformations-de-lorentz-de-la-relativite-restreinte\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\\\/\\\/toposuranos.com\\\/material\"],\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte - toposuranos.com\/material","description":"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le 'Boost de vitesse' et le 'facteur de Lorentz","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/","og_locale":"es_ES","og_type":"article","og_title":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte","og_description":"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le 'Boost de vitesse' et le 'facteur de Lorentz","og_url":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2022-07-18T00:00:16+00:00","article_modified_time":"2024-05-21T09:42:20+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte","twitter_description":"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le 'Boost de vitesse' et le 'facteur de Lorentz","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"8 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte","datePublished":"2022-07-18T00:00:16+00:00","dateModified":"2024-05-21T09:42:20+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/"},"wordCount":2092,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg","articleSection":["Physique","Relativit\u00e9"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/","url":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/","name":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg","datePublished":"2022-07-18T00:00:16+00:00","dateModified":"2024-05-21T09:42:20+00:00","description":"Comprenez en d\u00e9tail les Transformations de Lorentz en Relativit\u00e9 Restreinte, le 'Boost de vitesse' et le 'facteur de Lorentz","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/transformaciones-lorentz.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/fr\/les-transformations-de-lorentz-de-la-relativite-restreinte\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"Les Transformations de Lorentz de la Relativit\u00e9 Restreinte"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25714","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=25714"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25714\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/25569"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=25714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=25714"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=25714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}