{"id":25527,"date":"2022-07-11T00:00:38","date_gmt":"2022-07-11T00:00:38","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25527"},"modified":"2024-05-21T09:42:47","modified_gmt":"2024-05-21T09:42:47","slug":"le-principe-de-la-relativite-restreinte","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/fr\/le-principe-de-la-relativite-restreinte\/","title":{"rendered":"Le Principe de la Relativit\u00e9 Restreinte"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>Le Principe de Relativit\u00e9<\/h1>\n<p><\/p>\n<p class=\"eq\"><em><strong>R\u00e9sum\u00e9 :<\/strong> Le principe de relativit\u00e9 postule que les observations d\u00e9pendent du r\u00e9f\u00e9rentiel inertiel, mais de telle mani\u00e8re que les lois physiques restent constantes. Dans ce cours, nous pr\u00e9senterons les concepts de r\u00e9f\u00e9rentiel inertiel et les bases permettant d&#8217;obtenir les transformations entre les coordonn\u00e9es observ\u00e9es par diff\u00e9rents r\u00e9f\u00e9rentiels inertiels dans les contextes de la physique newtonienne et de la relativit\u00e9 restreinte.<\/br><\/em><\/p>\n<p><\/center><br \/>\n<\/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 :\n<\/p>\n<ol>\n<li><strong>D\u00e9crire<\/strong> les concepts fondamentaux du principe de relativit\u00e9 et des r\u00e9f\u00e9rentiels inertiels.<\/li>\n<li><strong>Expliquer<\/strong> l&#8217;importance du r\u00e9f\u00e9rentiel inertiel dans le contexte du principe de relativit\u00e9 et diff\u00e9rencier entre physique newtonienne et relativit\u00e9 restreinte.<\/li>\n<li><strong>Appliquer<\/strong> les transformations de Lorentz et de Galil\u00e9e pour r\u00e9soudre des probl\u00e8mes simples et d\u00e9montrer comment les observations changent entre diff\u00e9rents r\u00e9f\u00e9rentiels inertiels.<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>INDEX<\/strong><br \/>\n<a href=\"#1\"><strong>Le r\u00e9f\u00e9rentiel inertiel<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>Le principe de relativit\u00e9 en physique newtonienne et en relativit\u00e9 restreinte<\/strong><\/a><br \/>\n<a href=\"#3\">Simplification des transformations entre r\u00e9f\u00e9rentiels inertiels<\/a><br \/>\n<a href=\"#4\">Transformations de Lorentz et de Galil\u00e9e<\/a><br \/>\n<a href=\"#5\"><strong>Conclusions<\/strong><\/a>\n<\/p>\n<p><\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/Z1IWvfnSNe8?si=VxQeeMn9VC8NhFi_\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>Le r\u00e9f\u00e9rentiel inertiel<\/h2>\n<p>Lors de l&#8217;\u00e9tude de la physique, il est toujours possible de choisir le r\u00e9f\u00e9rentiel \u00e0 partir duquel les \u00e9v\u00e9nements seront mesur\u00e9s, et ces r\u00e9f\u00e9rentiels peuvent diff\u00e9rer tant en orientation qu&#8217;en mouvement relatif. Parmi tous les r\u00e9f\u00e9rentiels possibles, il existe une classe sp\u00e9ciale qui nous permet de pratiquer la physique telle que nous la connaissons, ce sont les <strong>r\u00e9f\u00e9rentiels inertiels.<\/strong> On dit qu&#8217;un cadre de r\u00e9f\u00e9rence est inertiel lorsque la <strong>premi\u00e8re loi de Newton<\/strong> y est satisfaite, ce qui stipule qu&#8217;en l&#8217;absence d&#8217;agents externes, les particules pr\u00e9servent leur \u00e9tat de mouvement et donc :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{dx^2}{dt^2} = \\frac{dy^2}{dt^2} = \\frac{dz^2}{dt^2} = 0.<\/span>\n<p>Cela implique que, en l&#8217;absence de gravit\u00e9, si deux cadres <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> sont inertiels, alors <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> ne peut diff\u00e9rer de <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> que par :<\/p>\n<ul>\n<li>Une translation,<\/li>\n<li>Une rotation,<\/li>\n<li>Un mouvement relatif entre les deux cadres \u00e0 vitesse constante.<\/li>\n<\/ul>\n<p>Le concept de cadre inertiel est fondamental pour le <strong>principe de relativit\u00e9,<\/strong> qui \u00e9tablit que les lois de la physique ont la m\u00eame forme dans tous les cadres inertiels. Ce principe s&#8217;applique de la m\u00eame mani\u00e8re, tant en physique newtonienne qu&#8217;en relativit\u00e9 restreinte.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>Le principe de relativit\u00e9 en physique newtonienne et en relativit\u00e9 restreinte<\/h3>\n<p>Les descriptions newtoniennes et de la relativit\u00e9 restreinte diff\u00e8rent dans la mani\u00e8re dont les coordonn\u00e9es d&#8217;un \u00e9v\u00e9nement, par rapport \u00e0 un syst\u00e8me inertiel, sont li\u00e9es \u00e0 celles d&#8217;un autre syst\u00e8me inertiel.<\/p>\n<p>Consid\u00e9rons deux cadres inertiels cart\u00e9siens <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> en \u00abconfiguration standard\u00bb, c&#8217;est-\u00e0-dire l\u00e0 o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> se d\u00e9place le long de l&#8217;axe <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> de <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u00e0 une vitesse constante <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{ss^\\prime} = v_{ss^\\prime_x} \\hat{x}<\/span> et les axes respectifs de <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> sont align\u00e9s et co\u00efncident \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime = 0<\/span>.<\/p>\n<figure>\n<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><br \/>\n<\/figure>\n<p>Alors, s&#8217;il existe une transformation lin\u00e9aire qui relie les coordonn\u00e9es d&#8217;un \u00e9v\u00e9nement vu de <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>, elles sont alors reli\u00e9es par le syst\u00e8me suivant d&#8217;\u00e9quations lin\u00e9aires<\/p>\n<p><a name=\"eq1\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\\n\nx^\\prime &amp;= Dt + Ex,\\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z,\n\n\\end{array}\\;\\;\\;[\\triangle]<\/span>\n<p>o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">B,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> sont des constantes \u00e0 d\u00e9terminer.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>Simplification des transformations entre r\u00e9f\u00e9rentiels inertiels<\/h3>\n<p>Ces transformations peuvent \u00eatre simplifi\u00e9es si nous faisons les observations suivantes :<\/p>\n<ul>\n<li>\n<p>\u00c9tant donn\u00e9 que les transformations doivent \u00eatre valables pour tout <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime<\/span>, alors si nous pla\u00e7ons l&#8217;\u00e9v\u00e9nement \u00e0 l&#8217;origine de <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>, il en r\u00e9sulte que <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = 0<\/span>. Cela implique que l&#8217;\u00e9v\u00e9nement se d\u00e9place avec <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> et sa position par rapport \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> sera <span class=\"katex-eq\" data-katex-display=\"false\">x = v_{{ss^\\prime}_x}t.<\/span>\n<p>En rempla\u00e7ant <span class=\"katex-eq\" data-katex-display=\"false\">x = v_{{ss^\\prime}_x}t.<\/span> dans la deuxi\u00e8me \u00e9quation de <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a>, nous obtenons que <span class=\"katex-eq\" data-katex-display=\"false\">D = -Ev_{{ss^\\prime}_x}.<\/span>\n<p>De mani\u00e8re analogue, les transformations sont \u00e9galement valides pour tout <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span>, donc si nous pla\u00e7ons l&#8217;\u00e9v\u00e9nement \u00e0 l&#8217;origine de <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>, en le regardant depuis <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>, sa position sera <span class=\"katex-eq\" data-katex-display=\"false\">x^\\prime = -v_{{ss^\\prime}_x}t^\\prime<\/span>.<\/p>\n<p>En rempla\u00e7ant ceci dans la premi\u00e8re et la deuxi\u00e8me \u00e9quation de <a href=\"#eq1\"><span class=\"katex-eq\" data-katex-display=\"false\">[\\triangle]<\/span><\/a>, nous concluons que <span class=\"katex-eq\" data-katex-display=\"false\">t^\\prime = At<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">-v_{{ss^\\prime}_x}t^\\prime = Dt<\/span>. En divisant ces deux \u00e9galit\u00e9s, nous concluons que <span class=\"katex-eq\" data-katex-display=\"false\">D = -v_{{ss^\\prime}_x}A<\/span>.<\/p>\n<\/li>\n<li>\n<p>Ainsi, la seule mani\u00e8re de concilier les points pr\u00e9c\u00e9dents est d&#8217;imposer que <span class=\"katex-eq\" data-katex-display=\"false\">A = E,<\/span>, ce qui simplifie les transformations \u00e0 :<\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\\n\nx^\\prime &amp;= A(x - v_{ss^\\prime_x} t), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\\;\\;\\;[2]<\/span>\n<\/li>\n<\/ul>\n<p><a name=\"4\"><\/a><\/p>\n<h3>Transformations de Lorentz et de Galil\u00e9e<\/h3>\n<p>Dans le cas de la physique newtonienne, nous avons la relativit\u00e9 galil\u00e9enne, o\u00f9 le temps s&#8217;\u00e9coule de la m\u00eame mani\u00e8re pour tous les r\u00e9f\u00e9rentiels inertiels, donc <span class=\"katex-eq\" data-katex-display=\"false\">t = t^\\prime.<\/span> Par cons\u00e9quent, <span class=\"katex-eq\" data-katex-display=\"false\">A = 1<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">B = 0.<\/span> Cela conduit aux c\u00e9l\u00e8bres <strong>transformations de Galil\u00e9e<\/strong> qui permettent de transformer les observations entre deux r\u00e9f\u00e9rentiels inertiels.<\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= t,\\\\\n\nx^\\prime &amp;= x - v_{ss^\\prime_x} t, \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\\;\\;\\;[3]<\/span>\n<\/li>\n<\/ul>\n<p>D&#8217;autre part, dans le cas de la physique relativiste, nous avons le principe de Relativit\u00e9 d&#8217;Einstein, qui consid\u00e8re que la vitesse de la lumi\u00e8re dans le vide est la m\u00eame dans tous les r\u00e9f\u00e9rentiels inertiels. Cela conduit aux c\u00e9l\u00e8bres Transformations de Lorentz de la relativit\u00e9 restreinte et, comme nous le verrons dans les prochains articles, prend la forme suivante :<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;= \\gamma_x \\left( ct - \\beta_x x \\right), \\\\\n\nx^\\prime &amp;= \\gamma_x(x - \\beta_x ct), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z\n\n\\end{array}\n\n<\/span>\n<p>o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">\\beta_x = v_{ss^\\prime_x}\/c<\/span> et <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma = 1\/\\sqrt{1 - \\beta_x^2}.<\/span>\n<p><a name=\"5\"><\/a><\/p>\n<h2>Conclusions<\/h2>\n<p>Le Principe de Relativit\u00e9 ne r\u00e9volutionne pas seulement notre compr\u00e9hension de l&#8217;univers, mais remet \u00e9galement en question nos perceptions les plus fondamentales du temps et de l&#8217;espace. \u00c0 travers l&#8217;analyse des r\u00e9f\u00e9rentiels inertiels, nous avons vu comment les lois de la physique conservent leur forme constante, ind\u00e9pendamment de l&#8217;observateur, \u00e0 la fois en physique newtonienne et en relativit\u00e9 restreinte. Les transformations de Lorentz et de Galil\u00e9e illustrent de mani\u00e8re unique les diff\u00e9rences subtiles et profondes entre ces deux approches. Ce principe, qui est au c\u0153ur de la physique moderne, est essentiel non seulement pour la compr\u00e9hension th\u00e9orique des ph\u00e9nom\u00e8nes physiques, mais aussi pour des applications pratiques allant de la technologie GPS \u00e0 l&#8217;exploration spatiale. En d\u00e9m\u00ealant les complexit\u00e9s du Principe de Relativit\u00e9, nous nous rapprochons d&#8217;un pas de plus de la compr\u00e9hension de la complexe trame du cosmos et de notre place au sein de celui-ci.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le Principe de Relativit\u00e9 R\u00e9sum\u00e9 : Le principe de relativit\u00e9 postule que les observations d\u00e9pendent du r\u00e9f\u00e9rentiel inertiel, mais de telle mani\u00e8re que les lois physiques restent constantes. Dans ce cours, nous pr\u00e9senterons les concepts de r\u00e9f\u00e9rentiel inertiel et les bases permettant d&#8217;obtenir les transformations entre les coordonn\u00e9es observ\u00e9es par diff\u00e9rents r\u00e9f\u00e9rentiels inertiels dans les [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25506,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":10,"footnotes":""},"categories":[647,703],"tags":[],"citadela-post-location":[],"class_list":["post-25527","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 v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Le Principe de la Relativit\u00e9 Restreinte - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"D\u00e9couvrez les myst\u00e8res du Principe de Relativit\u00e9 sur comment notre perception du temps et de l&#039;espace se transforme.\" \/>\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\/le-principe-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=\"Le Principe de la Relativit\u00e9 Restreinte\" \/>\n<meta property=\"og:description\" content=\"D\u00e9couvrez les myst\u00e8res du Principe de Relativit\u00e9 sur comment notre perception du temps et de l&#039;espace se transforme.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/fr\/le-principe-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=\"2022-07-11T00:00:38+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-21T09:42:47+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Le Principe de la Relativit\u00e9 Restreinte\" \/>\n<meta name=\"twitter:description\" content=\"D\u00e9couvrez les myst\u00e8res du Principe de Relativit\u00e9 sur comment notre perception du temps et de l&#039;espace se transforme.\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/RELATIVIDAD-ESPECIAL.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=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/#article\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Le Principe de la Relativit\u00e9 Restreinte\",\"datePublished\":\"2022-07-11T00:00:38+00:00\",\"dateModified\":\"2024-05-21T09:42:47+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/\"},\"wordCount\":1298,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/12\\\/RELATIVIDAD-ESPECIAL.jpg\",\"articleSection\":[\"Physique\",\"Relativit\u00e9\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-principe-de-la-relativite-restreinte\\\/\",\"name\":\"Le Principe de la Relativit\u00e9 Restreinte - 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