{"id":27302,"date":"2023-12-26T13:00:57","date_gmt":"2023-12-26T13:00:57","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27302"},"modified":"2024-06-30T21:42:15","modified_gmt":"2024-06-30T21:42:15","slug":"%e0%a4%ae%e0%a4%bf%e0%a4%82%e0%a4%95%e0%a5%89%e0%a4%b5%e0%a5%8d%e0%a4%b8%e0%a5%8d%e0%a4%95%e0%a5%80-%e0%a4%95%e0%a4%be-%e0%a4%b8%e0%a5%8d%e0%a4%aa%e0%a5%87%e0%a4%b8%e0%a4%9f%e0%a4%be%e0%a4%87%e0%a4%ae","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%ae%e0%a4%bf%e0%a4%82%e0%a4%95%e0%a5%89%e0%a4%b5%e0%a5%8d%e0%a4%b8%e0%a5%8d%e0%a4%95%e0%a5%80-%e0%a4%95%e0%a4%be-%e0%a4%b8%e0%a5%8d%e0%a4%aa%e0%a5%87%e0%a4%b8%e0%a4%9f%e0%a4%be%e0%a4%87%e0%a4%ae\/","title":{"rendered":"\u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e<\/h1>\n<p class=\"eq\"><em><strong>\u0938\u093e\u0930\u093e\u0902\u0936:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u092e \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947, \u090f\u0915 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u0938\u092e\u092f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u091a\u0941\u0928\u094c\u0924\u0940 \u0926\u0947\u0902\u0917\u0947 \u0914\u0930 \u0938\u092d\u0940 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u0940 \u0938\u094d\u0925\u093f\u0930\u0924\u093e \u0915\u094b \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u092f\u0939 \u0916\u094b\u091c \u0915\u0930\u0947\u0902\u0917\u0947 \u0915\u093f \u092f\u0947 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0938\u0947 \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094b \u0915\u0948\u0938\u0947 \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u0905\u0927\u094d\u092f\u092f\u0928 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u092e\u0947\u0902 \u0917\u0939\u0930\u093e\u0908 \u0938\u0947 \u091c\u093e\u090f\u0917\u093e \u0914\u0930 <strong>\u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e<\/strong> \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0947\u0917\u093e, \u091c\u094b \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u090f\u0915 \u092e\u0942\u0932\u092d\u0942\u0924 \u092e\u0949\u0921\u0932 \u0939\u0948 \u091c\u094b \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u090f\u0915 \u091a\u093e\u0930-\u0906\u092f\u093e\u092e\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0924\u093e \u0939\u0948\u0964 \u0939\u092e \u092f\u0939 \u0938\u093e\u092c\u093f\u0924 \u0915\u0930\u0947\u0902\u0917\u0947 \u0915\u093f, \u0936\u0941\u0926\u094d\u0927 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092d\u094c\u0924\u093f\u0915\u0940 \u0914\u0930 \u0939\u092e\u093e\u0930\u0947 \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u0915\u0940 \u0938\u092e\u091d \u092a\u0930 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u092d\u093e\u0935 \u092a\u0921\u093c\u0924\u093e \u0939\u0948\u0964<\/br><\/em><\/p>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:<\/p>\n<ol>\n<li><strong>\u0938\u092e\u091d\u0947\u0902<\/strong> \u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u0947 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0915\u0948\u0938\u0947 \u092f\u0939 \u092e\u0949\u0921\u0932 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u090f\u0915 \u091a\u093e\u0930-\u0906\u092f\u093e\u092e\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902<\/strong> \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0938\u0947 \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0947 \u0932\u093f\u090f\u0964<\/li>\n<li><strong>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0947\u0902<\/strong> \u0938\u092e\u092f \u0915\u0947 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0938\u0902\u0915\u0941\u091a\u0928 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927, \u092f\u0939 \u0938\u092e\u091d\u0924\u0947 \u0939\u0941\u090f \u0915\u093f \u092f\u0947 \u092a\u094d\u0930\u092d\u093e\u0935 \u0915\u0948\u0938\u0947 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u0915\u0940 \u0917\u0924\u093f \u0914\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0938\u0942\u091a\u0940<\/strong><br \/>\n<a href=\"#1\"><strong>\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e<\/strong><\/a><br \/>\n<a href=\"#3\"><strong>\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0925\u093e\u0928, \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/a><br \/>\n<a href=\"#4\">\u0936\u0941\u0926\u094d\u0927 \u0938\u092e\u092f \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/a><br \/>\n<a href=\"#5\">\u0936\u0941\u0926\u094d\u0927 \u0938\u094d\u0925\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/a><br \/>\n<a href=\"#6\">\u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/a><br \/>\n<a href=\"#7\"><strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/6tVlrcyVV8g?si=FUG1kS6GfPgp7Boh\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><br \/>\n<\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/h2>\n<p style=\"text-align:justify;\">\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902, \u090f\u0915 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u0938\u092e\u092f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0905\u0938\u094d\u0935\u0940\u0915\u093e\u0930 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u092c\u091c\u093e\u092f, \u092f\u0939 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c<\/span><\/span>, \u0938\u092d\u0940 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928, \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0938\u093e\u0925, \u0939\u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0913\u0930 \u0932\u0947 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0947 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0926\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0938\u0947 \u0926\u0947\u0916\u0940 \u0917\u0908 \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094b \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0935\u093f\u0937\u092f \u0915\u094b <a href=\"http:\/\/toposuranos.com\/material\/es\/las-transformaciones-de-lorentz-de-la-relatividad-especial\/\" rel=\"noopener\" target=\"_blank\">\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928<\/a> \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0938\u0947 \u0916\u094b\u091c\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align:justify;\">\u091c\u092c \u092e\u093e\u0928\u0915 \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u092e\u0947\u0902 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0902 \u0909\u0928\u0915\u0947 \u0905\u0915\u094d\u0937 \u0914\u0930 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime =0<\/span><\/span> \u092a\u0930 \u092e\u0947\u0932 \u0916\u093e\u0924\u0947 \u0939\u0948\u0902, \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime = 0<\/span><\/span> \u092a\u0930 \u0909\u0924\u094d\u092a\u0924\u094d\u0924\u093f \u0938\u0947 \u0928\u093f\u0915\u0932\u093e \u092b\u094b\u091f\u0949\u0928, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u094d\u0930\u0947\u092e \u092e\u0947\u0902 \u092b\u094b\u091f\u0949\u0928 \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u0914\u0930 \u0938\u092e\u092f \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u093f\u090f:<\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\nc^2t^2 - x^2 - y^2 - z^2 = c^2{t^\\prime}^2 - {x^\\prime}^2 - {y^\\prime}^2 - {z^\\prime}^2 = 0.\n\n<\/span><\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u0907\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0914\u0930 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0938\u0947 \u0939\u092e \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;= \\gamma_{ss^\\prime_x}(ct - \\beta_{ss^\\prime_x} x), \\\\\n\nx^\\prime &amp;= \\gamma_{ss^\\prime_x}(x - \\beta_{ss^\\prime_x} ct), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\n\n<\/span><\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u091c\u0939\u093e\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x} =v_{ss^\\prime_x}\/c<\/span><\/span> \u0935\u0939 <strong>\u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0935<\/strong> \u0939\u0948 \u091c\u094b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u0928\u0947 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0917\u0924\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x}<\/span><\/span> \u092a\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u0939\u0948, \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} = 1\/\\sqrt{1-\\beta_{ss^\\prime_x}^2}<\/span><\/span> \u0938\u0902\u092c\u0902\u0927\u093f\u0924 <strong>\u0932\u0949\u0930\u0947\u0902\u091c \u092b\u0948\u0915\u094d\u091f\u0930<\/strong> \u0939\u0948\u0964 \u092f\u0939 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span><\/span> \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0917\u0948\u0932\u0940\u0932\u093f\u092f\u0928 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0924\u093e \u0939\u0948 \u091c\u092c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x} \\ll c<\/span><\/span>\u0964<\/p>\n<p style=\"text-align:justify;\">\u0917\u0948\u0932\u0940\u0932\u093f\u092f\u0928 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0924\u0930\u0939, \u090f\u0915 \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u094b \u0930\u093f\u0935\u0930\u094d\u0938 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948, \u092c\u0938 \u0936\u0930\u094d\u0924\u094b\u0902 \u0915\u0940 \u0905\u0926\u0932\u093e-\u092c\u0926\u0932\u0940 \u0915\u0930\u0915\u0947 \u0914\u0930 \u092f\u0939 \u0927\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f \u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x} = -\\beta_{s^\\prime s_x}<\/span><\/span>:<\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n ct &amp;= \\gamma_{ss^\\prime_x}(ct^\\prime + \\beta_{ss^\\prime_x} x^\\prime),\\\\\n\n  x &amp;= \\gamma_{ss^\\prime_x}(x^\\prime + \\beta_{ss^\\prime_x} ct^\\prime),\\\\\n\n  y &amp;= y^\\prime, \\\\\n\n  z &amp;= z^\\prime.\n\n\\end{array}\n\n<\/span><\/span><\/bdi><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e<\/h2>\n<p style=\"text-align:justify;\">\n\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0938\u0947 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0938\u094d\u0935\u093e\u092d\u093e\u0935\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0939\u0948\u0902\u0964 \u092f\u0939 \u0938\u0902\u092c\u0902\u0927 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">ct<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/span> \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u092e\u0947\u0902 \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948\u0964 \u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span>, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u0947 \u0938\u093e\u0925 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(ct_A, x_A, y_A, z_A)<\/span><\/span><\/bdi> \u0914\u0930 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(ct_B, x_B, y_B, z_B)<\/span><\/span><\/bdi>\u0964 \u092b\u094d\u0930\u0947\u092e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u092e\u0947\u0902, \u0939\u092e \u0926\u094d\u0935\u093f\u0924\u0940\u092f\u0915 \u0926\u0942\u0930\u0940 \u0915\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\Delta s^2 &amp;= c^2(t_B - t_A)^2 - (x_B - x_A)^2 - (y_B - y_A)^2 - (z_B - z_A)^2 \\\\ \\\\\n\n&amp;= c^2\\Delta t^2 - \\Delta x^2 - \\Delta y^2 - \\Delta z^2 \\\\ \\\\\n\n&amp;= c^2\\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2)\n\n\\end{array}<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0926\u0942\u0930\u0940, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span><\/span>, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s = \\sqrt{c^2\\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2)}<\/span><\/span>\u0964 \u092f\u0939\u093e\u0901, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span><\/span> \u090f\u0915 \u0938\u092e\u092f \u0932\u0902\u092c\u093e\u0908 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r = \\sqrt{\\Delta x^2 + \\Delta y^2 + \\Delta z^2}<\/span><\/span> \u090f\u0915 \u0938\u094d\u0925\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0939\u0948\u0964\n<\/p>\n<p style=\"text-align:justify;\">\n<strong>\u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e<\/strong>, \u0907\u0938 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0926\u0942\u0930\u0940 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span><\/span> \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0938\u0947 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u0939\u0948, \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u092e\u0942\u0932\u092d\u0942\u0924 \u0939\u0948\u0964 \u0907\u0938\u0947 <a href=\"https:\/\/es.wikipedia.org\/wiki\/Hermann_Minkowski\" rel=\"noopener\" target=\"_blank\">\u0939\u0930\u094d\u092e\u0928 \u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940<\/a> \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e \u0914\u0930 \u092f\u0939 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0928\u0947 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0938\u0947 \u0905\u0932\u0917 \u0939\u0948\u0964\n<\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s = \\Delta s^\\prime<\/span><\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\n\u0907\u0938 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902, \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u090f\u0915 \u091a\u093e\u0930-\u0906\u092f\u093e\u092e\u0940 \u0938\u0924\u0924\u0924\u093e \u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0942\u0915\u094d\u0932\u093f\u0921\u093f\u092f\u0928 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0909\u0938\u0915\u0947 \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u0918\u091f\u0915\u094b\u0902 \u092e\u0947\u0902 \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0915\u0947\u0924\u094b\u0902 \u0915\u0947 \u0915\u093e\u0930\u0923 \u091b\u0926\u094d\u092e \u092f\u0942\u0915\u094d\u0932\u093f\u0921\u093f\u092f\u0928 \u0939\u0948\u0964 \u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0938\u092e\u092f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t<\/span><\/span> \u0915\u0947 \u0932\u093f\u090f, \u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u0940 \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u092f\u0942\u0915\u094d\u0932\u093f\u0921\u093f\u092f\u0928 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964\n<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0925\u093e\u0928, \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/h2>\n<p style=\"text-align:justify;\">\u091c\u0948\u0938\u093e \u0915\u093f \u092a\u0939\u0932\u0947 \u0909\u0932\u094d\u0932\u0947\u0916 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0932\u0902\u092c\u093e\u0907\u092f\u093e\u0901 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span><\/span><\/bdi> \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u093e\u0901, \u0905\u0932\u0917-\u0905\u0932\u0917, \u0907\u0928 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u092c\u0926\u0932 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u0939\u092e \u0906\u0917\u0947 \u0907\u0928 \u0924\u0925\u094d\u092f\u094b\u0902 \u0915\u0947 \u0915\u0926\u092e \u0926\u0930 \u0915\u0926\u092e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/p>\n<p><p style=\"text-align:justify;\">\u092a\u0939\u0932\u0947, \u0939\u092e \u0909\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span><\/bdi> \u0914\u0930<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span><\/bdi> \u0915\u094b \u092f\u093e\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u0936\u0941\u0930\u0942 \u092e\u0947\u0902 \u0938\u093f\u0938\u094d\u091f\u092e <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span><\/bdi> \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u092a\u0928\u0940 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u0947 \u0938\u093e\u0925 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940 \u0917\u0908 \u0925\u0940\u0902:<\/p>\n<ul>\n<li> <strong>\u0918\u091f\u0928\u093e <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span><\/bdi>:<\/strong> <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(ct_A,x_A, y_A, z_A)<\/span><\/span><\/bdi><\/li>\n<li> <strong>\u0918\u091f\u0928\u093e <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span><\/bdi>:<\/strong> <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(ct_B,x_B, y_B, z_B)<\/span><\/span><\/bdi><\/li>\n<\/ul>\n<p style=\"text-align:justify;\">\u0907\u0928 \u0935\u093f\u0915\u093e\u0938\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u092e\u093e\u0928\u0915 \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u092e\u0947\u0902 \u0938\u093f\u0938\u094d\u091f\u092e <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span><\/bdi> \u0914\u0930 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span><\/bdi> \u0915\u0947 \u0932\u093f\u090f \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0917\u0947 \u091c\u0939\u093e\u0902 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span><\/bdi> <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{ss^\\prime_x}= v_{ss^\\prime_x} \\hat{x} = \\beta_{ss^\\prime_x}c \\hat{x}<\/span><\/span><\/bdi> \u0915\u0940 \u0917\u0924\u093f \u0938\u0947 <bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span><\/bdi> \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0917\u0924\u093f \u0915\u0930 \u0930\u0939\u093e \u0939\u0948 <\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;= \\gamma_{ss^\\prime_x}(ct - \\beta_{ss^\\prime_x} x), \\\\\n\nx^\\prime &amp;= \\gamma_{ss^\\prime_x}(x - \\beta_{ss^\\prime_x} ct), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\n\n<\/span><\/span><\/bdi><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u0936\u0941\u0926\u094d\u0927 \u0938\u092e\u092f \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/h3>\n<p style=\"text-align:justify;\">\n\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0918\u091f\u0928\u093e\u090f\u0901 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span>, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u092b\u094d\u0930\u0947\u092e \u0938\u0947 \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u0939\u0948, \u0915\u0947\u0935\u0932 \u0938\u092e\u092f \u0938\u0947 \u0905\u0932\u0917 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947 \u090f\u0915 \u0918\u0921\u093c\u0940 \u0915\u0940 \u091f\u093f\u0915-\u091f\u093f\u0915\u0964 \u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902, \u091f\u093f\u0915-\u091f\u093f\u0915 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0938\u092e\u092f \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0917\u0923\u0928\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0917\u093e:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c\\Delta t = c(t_B - t_A)<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0926\u0942\u0938\u0930\u0940 \u0913\u0930, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u0938\u0947 \u0926\u0947\u0916\u0940 \u0917\u0908 \u0938\u092e\u093e\u0928 \u091c\u094b\u0921\u093c\u0940 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0938\u092e\u092f \u0935\u093f\u092d\u093e\u091c\u0928 \u0939\u094b\u0917\u093e:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c\\Delta t^\\prime = c(t^\\prime_B - t^\\prime_A)<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u092f\u0947 \u0938\u092e\u092f \u0935\u093f\u092d\u093e\u091c\u0928 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u091c\u0941\u0921\u093c\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nc\\Delta t^\\prime &amp;= c(t^\\prime_B - t^\\prime_A) \\\\ \\\\\n\n&amp;= ct^\\prime_B - ct^\\prime_A \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime_x}(ct_B - \\beta_{ss^\\prime_x} x_B) - \\gamma_{ss^\\prime_x}(ct_A - \\beta_{ss^\\prime_x} x_A) \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime_x}c \\Delta t - \\gamma_{ss^\\prime_x} \\beta_{ss^\\prime_x} \\Delta x\n\n\\end{array}\n\n<\/span>\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0905\u092c, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0918\u091f\u0928\u093e\u090f\u0901 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0915\u0947 \u092b\u094d\u0930\u0947\u092e \u092e\u0947\u0902 \u0938\u092e\u092f \u0938\u0947 \u0905\u0932\u0917 \u0939\u0948\u0902, \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x = 0<\/span><\/span> \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\Delta t^\\prime = \\gamma_{ss^\\prime_x} \\Delta t}<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948 \u0915\u093f:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} = \\dfrac{1}{\\sqrt{1 - \\beta^2_{ss^\\prime_x}}} \\in [1, +\\infin[<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u092f\u0939 \u0907\u0938\u0932\u093f\u090f \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta^2_{ss^\\prime_x} = \\dfrac{v^2_{ss^\\prime_x}}{c^2} \\in [0,1[<\/span><\/span>\u0964\n<\/p>\n<p style=\"text-align:justify;\">\n\u0938\u0930\u0932 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u092f\u0926\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u092e\u0947\u0902 \u090f\u0915 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u090f\u0915 \u0938\u092e\u092f \u0905\u0902\u0924\u0930\u093e\u0932 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span><\/span> \u0915\u094b \u090f\u0915 \u0918\u0921\u093c\u0940 \u0915\u0940 \u091f\u093f\u0915-\u091f\u093f\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u093e\u092a\u0924\u093e \u0939\u0948, \u0924\u094b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u092e\u0947\u0902 \u090f\u0915 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u0907\u0938 \u0938\u092e\u093e\u0928 \u0905\u0902\u0924\u0930\u093e\u0932 \u0915\u094b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} \\Delta t<\/span><\/span> \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u093e\u092a\u0947\u0917\u093e, \u091c\u094b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span><\/span> \u0938\u0947 \u092c\u0921\u093c\u093e \u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0917\u093e\u0964 \u0907\u0938 \u092a\u094d\u0930\u092d\u093e\u0935 \u0915\u094b \u0938\u092e\u092f \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u092f\u0939 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f \u0915\u0948\u0938\u0947 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x}<\/span><\/span> \u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0935 \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0935\u093f\u0938\u094d\u0924\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u0938\u092e\u092f \u0915\u093e \u092c\u0940\u0924\u0928\u093e \u0938\u092d\u0940 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948, \u091c\u094b \u092f\u0939 \u0938\u093e\u092c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u093e\u0901 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u094d\u0925\u093f\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964\n<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u0936\u0941\u0926\u094d\u0927 \u0938\u094d\u0925\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/h3>\n<p style=\"text-align:justify;\">\n\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0918\u091f\u0928\u093e\u090f\u0901 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0915\u0947\u0935\u0932 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u0905\u0932\u0917 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947 \u090f\u0915 \u0930\u0942\u0932\u0930 \u0915\u0947 \u0905\u0902\u0924\u0964 \u0939\u092e \u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902, \u092c\u093f\u0928\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u093e \u0915\u094b \u0916\u094b\u090f, \u0915\u093f \u092f\u0939 \u0930\u0942\u0932\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0915\u0947 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span><\/span> \u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0902\u0917\u094d\u0930\u0939\u0940\u0924 \u0939\u0948\u0964 \u0924\u094b, \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0939\u094b\u0917\u093e:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x = x_B - x_A[\/<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u0915\u0947 \u092b\u094d\u0930\u0947\u092e \u0938\u0947 \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u092f\u0939 \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u0935\u093f\u092d\u093e\u091c\u0928 \u0939\u094b\u0917\u093e:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x^\\prime = x^\\prime_B - x^\\prime_A<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0939\u092e \u0926\u094b\u0928\u094b\u0902 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta x^\\prime &amp;= x^\\prime_B - x^\\prime_A \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime}(x_B - \\beta_{ss^\\prime_x} ct_B) - \\gamma_{ss^\\prime}(x_A - \\beta_{ss^\\prime_x} ct_A) \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime} \\Delta x - \\gamma_{ss^\\prime}\\beta_{ss^\\prime_x} c \\Delta t\n\n\\end{array}\n\n<\/span>\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0918\u091f\u0928\u093e\u090f\u0901 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0915\u0947 \u092b\u094d\u0930\u0947\u092e \u092e\u0947\u0902 \u090f\u0915 \u0938\u093e\u0925 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0939\u092e \u092f\u0939 \u0938\u092e\u091d \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t = 0<\/span><\/span> \u0939\u0948, \u0907\u0938\u0932\u093f\u090f:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\Delta x^\\prime = \\gamma_{ss^\\prime} \\Delta x}<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f \u0939\u092e \u090f\u0915 \u0930\u0942\u0932\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">l_0<\/span><\/span> \u0915\u094b \u090f\u0915 \u091f\u094d\u0930\u0947\u0928 \u0915\u0947 \u0935\u0948\u0917\u0928 \u092e\u0947\u0902 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902 (\u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span>), \u091c\u094b \u0939\u092e\u093e\u0930\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 (\u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span>) \u0917\u0924\u093f \u0915\u0930 \u0930\u0939\u0940 \u0939\u0948, \u0914\u0930 \u0930\u0942\u0932\u0930 \u0917\u0924\u093f \u0926\u093f\u0936\u093e \u0915\u0947 \u0938\u093e\u0925 \u0938\u0902\u0917\u094d\u0930\u0939\u0940\u0924 \u0939\u0948, \u0924\u094b \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u0932\u0902\u092c\u093e\u0908 \u0939\u094b\u0917\u0940:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n &amp; l_0 = \\gamma_{ss^\\prime} l \\\\ \\\\\n\n\\equiv &amp; l = \\dfrac{l_0}{\\gamma_{ss^\\prime}} \\leq l_0.\n\n\\end{array}\n\n<\/span>\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0939\u092e \u0930\u0942\u0932\u0930 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0915\u094b \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915\u0924\u093e \u092e\u0947\u0902 \u091c\u093f\u0924\u0928\u093e \u0939\u0948 \u0909\u0938\u0938\u0947 \u091b\u094b\u091f\u093e \u0926\u0947\u0916\u0947\u0902\u0917\u0947\u0964 \u0907\u0938 \u0918\u091f\u0928\u093e \u0915\u094b <strong>\u0932\u0949\u0930\u0947\u0902\u091c \u0938\u0902\u0915\u0941\u091a\u0928<\/strong> \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092f\u0939 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u0905\u0902\u0924\u0930\u093e\u0932 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u0902\u0930\u0915\u094d\u0937\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964\n<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0915\u093e\u0938<\/h3>\n<p style=\"text-align:justify;\">\n\u0936\u0941\u0926\u094d\u0927 \u0938\u092e\u092f \u0914\u0930 \u0936\u0941\u0926\u094d\u0927 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, \u0939\u092e \u0905\u092c \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0932\u0902\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0940 \u091c\u093e\u0901\u091a \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u093e\u0926 \u0930\u0916\u0947\u0902 \u0915\u093f \u090f\u0915 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0932\u0902\u092c\u093e\u0908, \u091c\u093f\u0938\u0947 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u0915\u0947 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u0926\u094d\u0935\u093e\u0930\u093e \u0918\u091f\u0928\u093e\u0913\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0915\u0947 \u0932\u093f\u090f \u0926\u0947\u0916\u093e \u0917\u092f\u093e \u0939\u0948, \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta s^\\prime &amp;= \\sqrt{c^2\\Delta t^{\\prime 2} - (\\Delta x^{\\prime 2} + \\Delta y^{\\prime 2} + \\Delta z^{\\prime 2})} \\\\ \\\\\n\n&amp;= \\sqrt{c^2 (t^{\\prime 2}_B - t^{2}_A) - \\left[(x^{\\prime 2}_B - x^{2}_A) +  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right]}\n\n\\end{array}\n\n<\/span>\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0906\u0917\u0947, \u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u091c\u092c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/span> \u0915\u0947 \u092a\u093e\u0938 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x}<\/span><\/span> \u0915\u0940 \u0917\u0924\u093f \u092c\u0922\u093c\u093e\u0935 \u0939\u0948, \u0924\u094b \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092f\u0947 \u0932\u0902\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u0948\u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964\n<\/p>\n<p style=\"text-align:center;\"><bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{black}\n\n\\begin{array}{rl}\n\n\\Delta s^{\\prime 2} &amp;= (c^2 t^{2}_B - c^2 t^{2}_A) - \\left[(x^{2}_B - x^{2}_A) +  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right] \\\\ \\\\ \\\\\n\n&amp;= \\left[\\gamma_{ss^\\prime_x}(ct_B - \\beta_{ss^\\prime_x} x_B)\\right]^2 -  \\left[\\gamma_{ss^\\prime_x}(ct_A - \\beta_{ss^\\prime_x} x_A)\\right]^2 + \\cdots \\\\ \\\\\n\n&amp; \\cdots -\\left\\{ \\left( \\left[\\gamma_{ss^\\prime_x}(x_B - \\beta_{ss^\\prime_x} ct_B)\\right]^2 - \\left[\\gamma_{ss^\\prime_x}(x_A - \\beta_{ss^\\prime_x} ct_A)\\right]^2 \\right) + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n&amp;=  \\gamma_{ss^\\prime_x}^2 (ct_B - \\beta_{ss^\\prime_x} x_B)^2 -  \\gamma_{ss^\\prime_x}^2(ct_A - \\beta_{ss^\\prime_x} x_A)^2 + \\cdots \\\\ \\\\\n\n&amp; \\cdots -\\left\\{ \\gamma_{ss^\\prime_x}^2(x_B - \\beta_{ss^\\prime_x} ct_B)^2 - \\gamma_{ss^\\prime_x}^2(x_A - \\beta_{ss^\\prime_x} ct_A)^2  + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n&amp;=    \\color{red}\\gamma_{ss^\\prime_x}^2 c^2 t_B^2 \\color{black} - \\cancel{2  \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} c t_B x_B} + \\color{green}\\gamma_{ss^\\prime_x}^2\\beta_{ss^\\prime_x}^2 x_B^2\\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots   - \\color{blue}\\gamma_{ss^\\prime_x}^2 c^2 t_A^2\\color{black} + 2 \\cancel{\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} c t_A x_A} - \\color{purple}\\gamma_{ss^\\prime_x}^2\\beta_{ss^\\prime_x}^2 x_A^2\\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots  - \\color{green} \\gamma_{ss^\\prime_x}^2x_B^2 \\color{black} + \\cancel{2 \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} ct_B x_B} - \\color{red}\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x}^2 c^2t_B^2 \\color{black}+ \\cdots \\\\ \\\\\n\n&amp; \\cdots  + \\color{purple}\\gamma_{ss^\\prime_x}^2x_A^2\\color{black}- \\cancel{2 \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} ct_A x_A} + \\color{blue}\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x}^2 c^2t_A^2 \\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots - \\left\\{  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n\\end{array}\n\n<\/span><\/span><\/bdi><\/p>\n<p><p style=\"text-align:justify;\">\n\u0905\u0902\u0924 \u092e\u0947\u0902, \u0927\u094d\u092f\u093e\u0928 \u0930\u0916\u0947\u0902 \u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x}^2 = 1\/(1-\\beta_{ss^\\prime_x}^2)<\/span><\/span>, \u0939\u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta s^{\\prime 2} &amp;= c^2 t_B^2 - c^2 t_A^2 - x_B^2 + x_A^2 - \\left\\{ (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\\n\n&amp;= c^2 (t_B^2 - t_A^2) - \\left\\{ (x_B^2 - x_A^2) + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\\n\n&amp;= c^2 \\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2) \\\\ \\\\\n\n&amp;= \\Delta s^2\n\n\\end{array}\n\n<\/span><\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u0907\u0938\u0938\u0947, \u0939\u092e\u0928\u0947 \u092f\u0939 \u0938\u093e\u092c\u093f\u0924 \u0915\u093f\u092f\u093e \u0939\u0948 \u0915\u093f, \u0936\u0941\u0926\u094d\u0927 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0915\u0940 \u0932\u0902\u092c\u093e\u0907\u092f\u093e\u0901 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0924\u0939\u0924 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0902\u0964\n<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<a name=\"7\"><\/a><\/p>\n<h2>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n<p style=\"text-align:justify;\">\n\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u092e\u094c\u0932\u093f\u0915 \u092a\u0939\u0932\u0941\u0913\u0902 \u0915\u094b \u0909\u091c\u093e\u0917\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u0938\u092e\u092f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0916\u093e\u0930\u093f\u091c \u0915\u0930\u0915\u0947, \u092f\u0947 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u090f\u0915 \u0910\u0938\u093e \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u0939\u093e\u0902 \u0938\u092d\u0940 \u091c\u0921\u093c\u0924\u094d\u0935\u0940\u092f \u092b\u094d\u0930\u0947\u092e\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u0947 \u092c\u0940\u091a \u0917\u0939\u0930\u0940 \u0905\u0902\u0924:\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0913\u0930 \u0932\u0947 \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">ct<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/span> \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u091f \u0939\u094b\u0924\u093e \u0939\u0948\u0964\n<\/p>\n<p style=\"text-align:justify;\">\n\u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0928 \u0915\u0947\u0935\u0932 \u0939\u092e\u093e\u0930\u0947 \u0917\u0924\u093f \u0914\u0930 \u0917\u0924\u093f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u092c\u0926\u0932\u0924\u0947 \u0939\u0948\u0902, \u092c\u0932\u094d\u0915\u093f \u0935\u0947 \u0938\u092e\u092f \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0938\u0902\u0915\u0941\u091a\u0928 \u091c\u0948\u0938\u0947 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u092d\u0940 \u092a\u0947\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0947 \u092a\u094d\u0930\u092d\u093e\u0935 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915 \u0915\u0940 \u0917\u0924\u093f \u0914\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0917\u0924\u093f \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u0915\u0947 \u0938\u0940\u0927\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u0948\u0902\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u0938\u092e\u092f \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0917\u0924\u093f \u092e\u0947\u0902 \u092a\u0930\u094d\u092f\u0935\u0947\u0915\u094d\u0937\u0915\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0905\u0932\u0917-\u0905\u0932\u0917 \u0917\u0924\u093f \u0938\u0947 \u091a\u0932\u0924\u093e \u0939\u0948, \u0939\u092e\u093e\u0930\u0947 \u0935\u0948\u0936\u094d\u0935\u093f\u0915 \u0938\u092e\u092f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u091a\u0941\u0928\u094c\u0924\u0940 \u0926\u0947\u0924\u093e \u0939\u0948\u0964\n<\/p>\n<p style=\"text-align:justify;\">\n\u0907\u0928 \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0947\u0902 \u092e\u093f\u0902\u0915\u0949\u0935\u094d\u0938\u094d\u0915\u0940 \u0915\u093e \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0939\u0948, \u090f\u0915 \u092e\u0949\u0921\u0932 \u091c\u094b \u0938\u092e\u092f \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u090f\u0915 \u091a\u093e\u0930-\u0906\u092f\u093e\u092e\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092e\u0949\u0921\u0932 \u0928 \u0915\u0947\u0935\u0932 \u0906\u0907\u0902\u0938\u094d\u091f\u0940\u0928 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0932\u093f\u090f \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948, \u092c\u0932\u094d\u0915\u093f \u092f\u0939 \u0906\u0927\u0941\u0928\u093f\u0915 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u0940 \u090f\u0915 \u0909\u0928\u094d\u0928\u0924 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f \u092d\u0940 \u0928\u0940\u0902\u0935 \u0930\u0916\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0906\u0927\u0941\u0928\u093f\u0915 \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964\n<\/p>\n<p style=\"text-align:justify;\">\n\u0938\u0902\u0915\u094d\u0937\u0947\u092a \u092e\u0947\u0902, \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0928 \u0915\u0947\u0935\u0932 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092d\u094c\u0924\u093f\u0915\u0940 \u0915\u093e \u090f\u0915 \u0905\u0928\u093f\u0935\u093e\u0930\u094d\u092f \u0918\u091f\u0915 \u0939\u0948\u0902, \u092c\u0932\u094d\u0915\u093f \u092f\u0939 \u092d\u0940 \u090f\u0915 \u0916\u093f\u0921\u093c\u0915\u0940 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u0939\u092e\u0947\u0902 \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u0939\u092e \u091c\u093f\u0938 \u092c\u094d\u0930\u0939\u094d\u092e\u093e\u0902\u0921 \u092e\u0947\u0902 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902, \u0909\u0938\u0915\u0940 \u0917\u0939\u0930\u093e\u0908 \u092e\u0947\u0902 \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0938\u0947 \u0939\u092e\u093e\u0930\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915\u0924\u093e \u0915\u0940 \u0938\u092e\u091d \u0915\u094b \u091a\u0941\u0928\u094c\u0924\u0940 \u0914\u0930 \u0938\u092e\u0943\u0926\u094d\u0927 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u092e\u0947\u0902 \u0938\u094d\u092a\u0947\u0938\u091f\u093e\u0907\u092e \u0938\u093e\u0930\u093e\u0902\u0936: \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u092e \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0932\u0949\u0930\u0947\u0902\u091c \u091f\u094d\u0930\u093e\u0902\u0938\u092b\u0949\u0930\u094d\u092e\u0947\u0936\u0928 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947, \u090f\u0915 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u0938\u092e\u092f \u0915\u0940 \u0927\u093e\u0930\u0923\u093e \u0915\u094b \u091a\u0941\u0928\u094c\u0924\u0940 \u0926\u0947\u0902\u0917\u0947 \u0914\u0930 \u0938\u092d\u0940 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