\u4e45\u3005\u306e\u6295\u7a3f\u3002<\/p>\n
<\/p>\n
\u6628\u5e745\u6708\u306b Hestenes \u306e Space-Time Algebra \u3092\u8aad\u307f\u59cb\u3081\u305f\u304c\uff0c\u305d\u306e\u5f8c\u5b8c\u8aad\u306b\u306f\u81f3\u3063\u3066\u3044\u306a\u3044\u3002
\n\u3057\u304b\u3057\uff0c\u3053\u308c\u304c\u304d\u3063\u304b\u3051\u306b\u306a\u3063\u3066 Geometric Algebra \u306e\u52c9\u5f37\u3092\u65ad\u7d9a\u7684\u306b\u7d9a\u3051\u3066\u3044\u308b\u3002
\n\u305d\u306e\u4e2d\u3067\u51fa\u4f1a\u3063\u305f\u306e\u304c\u8868\u984c\u306e\u8ad6\u6587\u3002
\n\u5148\u9031\u304b\u3089\u3088\u3046\u3084\u304f\u590f\u4f11\u307f\u3002<\/p>\n
\u4eca\u65e5\u306f\u304a\u76c6\u306e\u4e2d\u65e5\u3067\uff0c\u982d\u306e\u65b9\u3082\u6388\u696d\u306a\u3069\u306e\u4ed5\u4e8b\u304b\u3089\u89e3\u653e\u3055\u308c\u3066\u304d\u3066\uff0c\u6570\u5b66\u306e\u8ad6\u6587\u306b\u623b\u308b\u6c17\u6301\u3061\u304c\u5f37\u304f\u306a\u3063\u3066\u304d\u305f\u3002<\/p>\n
\u3053\u306e\u8ad6\u6587\u306f\u3059\u3067\u306b\u51fa\u7248\u3055\u308c\u3066\u3044\u308b\u304c\uff0c\u96d1\u8a8c\u306b\u63b2\u8f09\u3055\u308c\u3066\u3044\u308b\u7248\u306f\u30ec\u30a4\u30a2\u30a6\u30c8\u304c\u60aa\u304f\uff0c\u305f\u3044\u3078\u3093\u8aad\u307f\u306b\u304f\u3044\u3002
\n\u5e78\u3044\u306b\u3057\u3066\u6570\u5b66\u3084\u7269\u7406\u5b66\u306e\u8ad6\u6587\u306e\u30d7\u30ec\u30d7\u30ea\u30f3\u30c8\u304c\u96c6\u307e\u3063\u3066\u3044\u308b\u30a2\u30fc\u30ab\u30a4\u30d6\u30b5\u30a4\u30c8 arXiv.org \u306b\u3042\u3063\u305f\u306e\u3067\u305d\u3053\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u8aad\u3093\u3067\u308b\u3002<\/p>\n
\u30bf\u30a4\u30c8\u30eb\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u96fb\u78c1\u6c17\u5b66\u306b Spacetime algebra \u3092\u4f7f\u304a\u3046\uff0c\u3068\u3044\u3046\u3082\u306e\u3002
\n\u306a\u306e\u3067\u8ad6\u6587\u3068\u3044\u3046\u3088\u308a\u8b1b\u7fa9\u9332\u306b\u8fd1\u3044\u3002
\n\u524d\u534a\u306f Geometric Algebra \u30924\u6b21\u5143\u306e Minkowski \u8a08\u91cf\u3067\u6271\u3046\u3002
\n\u3053\u308c\u3092\u7279\u306b Space-Time Algebra\uff08\u4ee5\u4e0b STA \u3068\u66f8\u304f\uff09 \u3068\u3044\u3046\u3002
\n\u3053\u308c\u306f Hestenese \u306e\u672c\u306e\u6271\u3044\u3068\u540c\u3058\u3002
\n\u3067\uff0cHestenes \u306e\u672c\u306f\u305d\u306e\u53d6\u3063\u639b\u304b\u308a\u306e\u3088\u3046\u306a\u5185\u5bb9\u306a\u306e\u3067\uff0c\u96fb\u78c1\u6c17\u5b66\u306f\u6271\u308f\u308c\u3066\u3044\u308b\u3082\u306e\u306e\uff0c\u305d\u308c\u307b\u3069\u5fb9\u5e95\u3057\u305f\u3082\u306e\u3067\u306f\u306a\u3044\u3002
\n\u305d\u308c\u306b\u5bfe\u3057\u3066\u3053\u306e\u8ad6\u6587\u306f\u96fb\u78c1\u6c17\u5b66\u3092 STA \u306e\u8996\u70b9\u304b\u3089\u5fb9\u5e95\u7684\u306b\u66f8\u304d\u306a\u304a\u305d\u3046\uff0c\u3068\u3044\u3046\u3082\u306e\u3002<\/p>\n
\u3053\u306e1\u5e74\u8fd1\u304f\uff0c\u3053\u306e\u8ad6\u6587\u306b\u6311\u3093\u3067\u304d\u305f\u304c\uff0c\u4e2d\u3005\u5148\u306b\u9032\u3081\u306a\u3044\u3002
\n\u3082\u3061\u308d\u3093\u8aad\u307f\u306a\u304a\u3059\u305f\u3073\u306b\u7406\u89e3\u3067\u304d\u308b\u3068\u3053\u308d\u306f\u5897\u3048\u3066\u306f\u3044\u308b\u3002
\n\u305d\u3057\u3066\u4eca\u65e5\uff0c\u4f55\u5ea6\u76ee\u304b\u306e\u6311\u6226\u3092\u59cb\u3081\u305f\u3002<\/p>\n
\u3082\u3061\u308d\u3093\u3053\u306e1\u5e74\uff0c\u4f55\u3082\u3057\u306a\u304b\u3063\u305f\u308f\u3051\u3067\u306f\u306a\u3044\u3002
\n\u95a2\u9023\u3059\u308b\u69d8\u3005\u306a\u3053\u3068\uff0c\u96fb\u78c1\u6c17\u5b66\u3084\u91cf\u5b50\u529b\u5b66\uff0c\u5834\u306e\u91cf\u5b50\u8ad6\u306a\u3069\uff0c\u30dc\u30c4\u30dc\u30c4\u3068\u52c9\u5f37\u3057\u3066\u3044\u305f\u3002
\n\u305d\u306e\u52b9\u679c\u3082\u3042\u3063\u3066\u304b\uff0c\u4eca\u56de\u306f\u6bd4\u8f03\u7684\u30b9\u30e9\u30b9\u30e9\u3068\u8aad\u307f\u9032\u3081\u3066\u3044\u308b\u3002<\/p>\n
1. Introduction \u306f\u306a\u305c STA \u3092\u7528\u3044\u3066\u96fb\u78c1\u6c17\u5b66\u3092\u8a18\u8ff0\u3059\u308b\u306e\u304b\uff0c\u305d\u306e\u52d5\u6a5f\u304c\u66f8\u304b\u308c\u3044\u3066\u308b\u3002
\n2. A brief history of electromagnetic formalisms \u3067\u306f\uff0c\u30bf\u30a4\u30c8\u30eb\u306e\u901a\u308a\u96fb\u78c1\u6c17\u5b66\u306e\u7c21\u5358\u306a\u6b74\u53f2\u304c\u8ff0\u3079\u3089\u308c\u3066\u3044\u308b\u3002
\n\u91cd\u8981\u306a\u306e\u306f Riemann-Silberstein \u306e\u5f0f
\n\\[
\n\\vec{F}=[\\vec{E}\/c+\\vec{B}i]\/\\sqrt{\\mu_0}
\n\\]
\n\u3067\u3042\u308b\u3002<\/p>\n
\u521d\u671f\u306e\u3068\u304d\uff0cMinkowski \u8a08\u91cf\u3092\u6271\u3046\u969b\u306b\uff0c\u3053\u306e\u5f0f\u306e\u3088\u3046\u306b\u865a\u6570\u5358\u4f4d \\(i\\) \u304c\u3088\u304f\u4f7f\u308f\u308c\u305f\u3002
\n\u3057\u304b\u3057\u305d\u306e\u4f7f\u308f\u308c\u65b9\u306f ad hoc \u3060\u3063\u305f\u3068\u3044\u3046\u3002<\/p>\n
\u305d\u306e\u4e0d\u81ea\u7136\u3055\u304c STA \u3092\u7528\u3044\u308b\u3053\u3068\u3067\u89e3\u6d88\u3055\u308c\uff0c\u3055\u3089\u306b\u8272\u3005\u3068\u72ec\u7acb\u3057\u3066\u6271\u308f\u308c\u3066\u3044\u305f\u3082\u306e\u304c\u7d71\u5408\u3067\u304d\u308b\u3068\u3044\u3046\u3002
\n\u305d\u308c\u3092\u793a\u305d\u3046\u3068\u3044\u3046\u306e\u304c\u3053\u306e\u8ad6\u6587\u3002<\/p>\n
3. Spacetime algebra \u304b\u3089\u672c\u8ad6\u3002
\n\u3067\uff0c\u4eca\u65e5\u306f\u3053\u3053\u307e\u3067\u3092\u8aad\u307f\u7d42\u3048\u305f\u3002\u91cf\u306b\u3057\u3066\u534a\u5206\u5f31\u3002<\/p>\n
\u4ee5\u524d\u306f\u3053\u306e\u7ae0\u306e\u9014\u4e2d\u3067\u6c88\u6ca1\u3057\u3066\u3044\u305f\u306e\u3060\u304c\uff0c\u4eca\u56de\u306f\u304b\u306a\u308a\u8170\u3092\u636e\u3048\u3066\u3058\u3063\u304f\u308a\u53d6\u308a\u7d44\u3093\u3060\u3053\u3068\u3082\u3042\u3063\u3066\uff0c\u306a\u3093\u3068\u304b\u4e57\u308a\u8d8a\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u3066\u304d\u305f\u3002<\/p>\n
\u6b21\u306e\u7ae0\u306f Spacetime calculus \u3067\u30d9\u30af\u30c8\u30eb\u89e3\u6790\u306b\u76f8\u5f53\u3059\u308b\u3002
\n\u3053\u3053\u307e\u3067\u304c\u6e96\u5099\u30675\u7ae0\u304b\u3089\u304c\u672c\u8ad6\u3002<\/p>\n
\u3055\u3066\uff0c\u3053\u306e\u590f\u4f11\u307f\u4e2d\u306b\u3069\u3053\u307e\u3067\u8aad\u307f\u9032\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3084\u3089\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e45\u3005\u306e\u6295\u7a3f\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[53,346],"tags":[],"_links":{"self":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2391"}],"collection":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2391"}],"version-history":[{"count":5,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2391\/revisions"}],"predecessor-version":[{"id":2396,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2391\/revisions\/2396"}],"wp:attachment":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2391"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}