{"id":380,"date":"2022-12-30T14:31:47","date_gmt":"2022-12-30T05:31:47","guid":{"rendered":"https:\/\/daba-no-heya.com\/?p=380"},"modified":"2024-04-27T08:40:03","modified_gmt":"2024-04-26T23:40:03","slug":"post-380","status":"publish","type":"post","link":"https:\/\/daba-no-heya.com\/?p=380","title":{"rendered":"\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u306e\u524d\u63d0\u3068\u306a\u308b\u539f\u5247"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u306f\u6163\u6027\u7cfb\u306e\u307f\u3092\u6271\u3044\u307e\u3057\u305f\u304c\u3001\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u306f\u975e\u6163\u6027\u7cfb\u3082\u542b\u3080\u4e00\u822c\u7684\u306a\u5ea7\u6a19\u7cfb\u3092\u8003\u3048\u307e\u3059\u3002<br>\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u306f\u4ee5\u4e0b\u306e\u4e8c\u3064\u306e\u539f\u5247\u306b\u57fa\u3065\u3044\u3066\u69cb\u7bc9\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406(general principle of relativity)<\/li>\n\n\n\n<li>\u7b49\u4fa1\u539f\u7406(equivalence principle)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406<\/strong>\u306f\u3001\u3042\u3089\u3086\u308b\u5ea7\u6a19\u7cfb\u306b\u304a\u3044\u3066\u7269\u7406\u6cd5\u5247\u306f\u5909\u5316\u3057\u306a\u3044\u3001\u3068\u3044\u3046\u539f\u7406\u3067\u3059\u3002<br><strong>\u7b49\u4fa1\u539f\u7406<\/strong>\u306f\u3001\u5c40\u6240\u7684\u306b\u306f\u52a0\u901f\u5ea6\u904b\u52d5\u306b\u3088\u308b\u898b\u304b\u3051\u306e\u529b\u3067\u91cd\u529b\u3092\u6253\u3061\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3001\u3068\u3044\u3046\u539f\u7406\u3067\u3059\u3002<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/daba-no-heya.com\/?p=380\/#%E4%B8%80%E8%88%AC%E7%9B%B8%E5%AF%BE%E6%80%A7%E5%8E%9F%E7%90%86\" >\u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/daba-no-heya.com\/?p=380\/#%E7%AD%89%E4%BE%A1%E5%8E%9F%E7%90%86\" >\u7b49\u4fa1\u539f\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/daba-no-heya.com\/?p=380\/#%E8%A8%88%E9%87%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6\" >\u8a08\u91cf\u306b\u3064\u3044\u3066<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%B8%80%E8%88%AC%E7%9B%B8%E5%AF%BE%E6%80%A7%E5%8E%9F%E7%90%86\"><\/span>\u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u3053\u3067\u8a00\u3046\u5ea7\u6a19\u7cfb\u306b\u306f\u3001\u3042\u308b\u6163\u6027\u7cfb\u306b\u5bfe\u3057\u3066\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u3057\u3066\u3044\u308b\u3088\u3046\u306a\u975e\u6163\u6027\u7cfb\u3082\u542b\u307e\u308c\u307e\u3059\u3002<br>\u65b0\u3057\u3044\u5ea7\u6a19$x&#8217;^{\\mu}$\u304c\u5143\u306e\u5ea7\u6a19$x^{\\mu}$\u306e\u4efb\u610f\u95a2\u6570\u3067\u4e0e\u3048\u3089\u308c\u308b\u3088\u3046\u306a\u4e00\u822c\u7684\u306a\u5ea7\u6a19\u5909\u63db$x&#8217;^{\\mu}=x&#8217;^{\\mu}(x^{\\nu})$\u3092\u8003\u3048\u308b\u3068\u3001\u3042\u308b\u6163\u6027\u7cfb\u304b\u3089\u975e\u6163\u6027\u7cfb\u306b\u79fb\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<br>\u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406\u306f\u3001\u3053\u306e\u3088\u3046\u306a\u5909\u63db\u3092\u884c\u3063\u305f\u5f8c\u3067\u3082\u7269\u7406\u6cd5\u5247\u306e\u65b9\u7a0b\u5f0f\u304c\u5909\u63db\u524d\u3068\u540c\u3058\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3053\u3068\u3092\u8981\u6c42\u3057\u307e\u3059\u3002<br>\u3053\u308c\u306f\u30c6\u30f3\u30bd\u30eb\u3060\u3051\u3067\u65b9\u7a0b\u5f0f\u304c\u8868\u3055\u308c\u3066\u3044\u308c\u3070\u5b9f\u73fe\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%AD%89%E4%BE%A1%E5%8E%9F%E7%90%86\"><\/span>\u7b49\u4fa1\u539f\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b49\u4fa1\u539f\u7406\u306f\u3001\u975e\u6163\u6027\u7cfb\u306b\u304a\u3051\u308b\u7269\u7406\u73fe\u8c61\u3092\u91cd\u529b\u3068\u7d50\u3073\u3064\u3051\u308b\u305f\u3081\u306b\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3042\u308b\u5916\u529b\u306e\u304b\u304b\u3063\u3066\u3044\u306a\u3044\u6163\u6027\u8cea\u91cf$m_a$\u306e\u7c92\u5b50\u306e\u904b\u52d5\u3092\u8003\u3048\u308b\u3068\u3001\u305d\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f$m_aa^i=0$\u3068\u306a\u308a\u307e\u3059\u3002<br>\u3042\u308b\u52a0\u901f\u5ea6$\\alpha^i$\u3067\u904b\u52d5\u3059\u308b\u7cfb\u304b\u3089\u305d\u306e\u7c92\u5b50\u3092\u898b\u308b\u3068\u3001\u305d\u306e\u7c92\u5b50\u306b\u306f\u52a0\u901f\u5ea6\u3068\u9006\u5411\u304d\u306e\u6163\u6027\u529b\u304c\u304b\u304b\u3063\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\nm_aa^i=-m_a\\alpha^i\n$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9759\u6b62\u7cfb\u306b\u91cd\u529b\u52a0\u901f\u5ea6$g^i$\u304c\u304b\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u7c92\u5b50\u306b\u306f\u91cd\u529b\u8cea\u91cf$m_g$\u306b\u6bd4\u4f8b\u3059\u308b\u529b\u304c\u304b\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\nm_aa^i=m_gg^i\n$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u3053\u3067\u3001\u3082\u3057$m_a=m_g$\u306a\u3089\u3001$\\alpha^i=g^i$\u3068\u30bb\u30c3\u30c8\u3059\u308b\u3053\u3068\u3067\u91cd\u529b\u52a0\u901f\u5ea6\u3092\u6253\u3061\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\nm_aa^i=m_gg^i-m_a\\alpha^i=0\n$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m_a=m_g$\u3067\u3042\u308b\u3053\u3068\u306f\u5b9f\u9a13\u7684\u306b\u78ba\u304b\u3081\u3089\u308c\u3066\u304a\u308a\u3001\u5b9f\u969b\u306b\u3053\u306e\u65b9\u6cd5\u3067\u91cd\u529b\u52a0\u901f\u5ea6\u3092\u6253\u3061\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u304b\u3089\u3001\u7cfb\u306e\u52a0\u901f\u5ea6\u904b\u52d5\u306b\u3088\u308b\u6163\u6027\u529b\u3068\u91cd\u529b\u306f\u4e92\u3044\u306b\u898b\u5206\u3051\u304c\u3064\u304b\u305a\u3001\u7b49\u4fa1\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A8%88%E9%87%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6\"><\/span>\u8a08\u91cf\u306b\u3064\u3044\u3066<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u767b\u5834\u3057\u305f\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u8a08\u91cf$\\eta_{\\mu\\nu}$\u306f\u5e73\u5766\u306a\u6642\u7a7a\u3092\u8868\u3059\u8a08\u91cf\u3067\u3059\u3002<br>\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u306f\u6b6a\u3093\u3060\u6642\u7a7a\u306b\u3064\u3044\u3066\u3082\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u8a08\u91cf\u3092$g_{\\mu\\nu}$\u3068\u66f8\u304d\u8868\u3057\u3001\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u8a08\u91cf$\\eta_{\\mu\\nu}$\u3068\u533a\u5225\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e16\u754c\u8ddd\u96e2\u306f\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u7a7a\u9593\u3068\u540c\u69d8\u306b$ds^2=g_{\\mu\\nu}dx^{\\mu}dx^{\\nu}$\u3067\u4e0e\u3048\u3089\u308c\u308b\u3082\u306e\u3068\u3057\u307e\u3059\u3002<br>\u3042\u308b\u3044\u306f\u3001$ds^2$\u304c\u30c6\u30f3\u30bd\u30eb$g_{\\mu\\nu}$\u3092\u7528\u3044\u3066$ds^2=g_{\\mu\\nu}dx^{\\mu}dx^{\\nu}$\u3068\u8868\u305b\u308b\u3068\u304d$g_{\\mu\\nu}$\u3092\u8a08\u91cf\u3068\u547c\u3076\u3001\u3068\u3044\u3046\u7406\u89e3\u3067\u3082\u3044\u3044\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$g_{\\mu\\nu}$\u3092\u6c42\u3081\u308b\u3053\u3068\u3001\u3072\u3044\u3066\u306f$ds^2$\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3001(\u305f\u3076\u3093)\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u306e\u6700\u7d42\u7684\u306a\u76ee\u6a19\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u306f\u6163\u6027\u7cfb\u306e\u307f\u3092\u6271\u3044\u307e\u3057\u305f\u304c\u3001\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u3067\u306f\u975e\u6163\u6027\u7cfb\u3082\u542b\u3080\u4e00\u822c\u7684\u306a\u5ea7\u6a19\u7cfb\u3092\u8003\u3048\u307e\u3059\u3002\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6\u306f\u4ee5\u4e0b\u306e\u4e8c\u3064\u306e\u539f\u5247\u306b\u57fa\u3065\u3044\u3066\u69cb\u7bc9\u3055\u308c\u307e\u3059\u3002 \u4e00\u822c\u76f8\u5bfe\u6027\u539f\u7406\u306f\u3001\u3042\u3089\u3086\u308b\u5ea7\u6a19\u7cfb\u306b\u304a\u3044\u3066\u7269\u7406\u6cd5\u5247\u306f\u5909\u5316\u3057\u306a\u3044 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,10],"tags":[],"class_list":["post-380","post","type-post","status-publish","format-standard","hentry","category-9","category-10"],"_links":{"self":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=380"}],"version-history":[{"count":6,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/380\/revisions"}],"predecessor-version":[{"id":1165,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/380\/revisions\/1165"}],"wp:attachment":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=380"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=380"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}