

{"id":35946,"date":"2021-01-05T00:24:33","date_gmt":"2021-01-04T16:24:33","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=35946"},"modified":"2020-12-31T10:18:31","modified_gmt":"2020-12-31T02:18:31","slug":"%e7%9c%8b%e8%a6%8b%e9%bb%91%e6%b4%9e%e7%9a%84%e5%ad%98%e5%9c%a8%ef%bc%8d%ef%bc%8d%e7%be%85%e5%82%91%e3%83%bb%e6%bd%98%e6%b4%9b%e6%96%af%ef%bc%88roger-penrose%ef%bc%89","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=35946","title":{"rendered":"\u770b\u898b\u9ed1\u6d1e\u7684\u5b58\u5728\u2014\u2014\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\uff08Roger Penrose\uff09"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\uff08Roger Penrose\uff09\u56e0\u8b49\u660e\u9ed1\u6d1e\u7684\u5f62\u6210\u662f\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u7684\u53ef\u9760\u9810\u6e2c\u800c\u7372\u5f972020\u5e74\u8afe\u8c9d\u723e\u7269\u7406\u734e\u3002\u5176\u5be6\u5f9e\u5c0f\uff0c\u6f58\u6d1b\u65af\u4fbf\u5c0d\u5e7e\u4f55\u554f\u984c\u5341\u5206\u611f\u8208\u8da3\uff0c\u5b87\u5b99\u4e2d\u795e\u79d8\u800c\u6df7\u4e82\u7684\u300c\u5947\u9ede\u300d\u6210\u4e86\u4ed6\u7684\u6700\u611b\uff0c\u5728\u4e00\u6b21\u904e\u99ac\u8def\u7684\u9748\u5149\u4e4d\u73fe\u4e2d\u89e3\u958b\u4e86\u7b54\u6848\u3002\u9664\u4e86\u5b87\u5b99\u5b78\uff0c\u6f58\u6d1b\u65af\u4e5f\u5728\u975e\u9031\u671f\u6027\u8cbc\u78da\u3001\u610f\u8b58\u7684\u5f62\u6210\u7b49\u9818\u57df\u6709\u8af8\u591a\u8ca2\u737b\uff0c\u5e36\u9818\u4eba\u985e\u5728\u79d1\u5b78\u4e4b\u8def\u4e0a\u9081\u9032\u4e00\u5927\u6b65\u3002<\/strong><\/span><\/p>\n<figure id=\"attachment_36033\" aria-describedby=\"caption-attachment-36033\" style=\"width: 200px\" class=\"wp-caption alignright\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-36033\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2021\/01\/01.jpg\" alt=\"\" width=\"200\" height=\"253\"><figcaption id=\"caption-attachment-36033\" class=\"wp-caption-text\">\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\u3002\u5716\u7247\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1\u3002<\/figcaption><\/figure>\n<p><strong>\u64b0\u6587\uff0f\u53f0\u5927\u7269\u7406\u7cfb\u5b78\u751f\u3000\u9673\u96d9\u96d9<\/strong><\/p>\n<p>1964\u5e74\uff0c\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\uff08Roger Penrose\uff09\u535a\u58eb\u5728\u4e00\u500b\u5c0b\u5e38\u7684\u5341\u5b57\u8def\u53e3\u505c\u4e0b\uff0c\u6e96\u5099\u904e\u99ac\u8def\u3002\u7576\u6642\u4ed6\u6b63\u548c\u4e00\u4f4d\u8001\u670b\u53cb\uff0c\u82f1\u570b\u5b87\u5b99\u5b78\u5bb6\u827e\u5f17\u30fb\u7f85\u8cd3\u905c\uff08Ivor Robinson\uff09\u5929\u5357\u5730\u5317\u9592\u804a\uff0c\u7136\u800c\u5728\u90a3\u500b\u8def\u53e3\uff0c\u5169\u4eba\u66ab\u505c\u4ea4\u8ac7\uff0c\u7b49\u5f85\u7e41\u5fd9\u7684\u4ea4\u901a\u505c\u4e00\u505c\u3002\u5c31\u5728\u90a3\u77ed\u66ab\u7684\u7247\u523b\uff0c\u6f58\u6d1b\u65af\u7684\u601d\u7dd2\u98c4\u5ffd\uff0c\u5ef6\u5c55\u5230\u907c\u95ca\u7121\u908a\u7684\u5b87\u5b99\uff0c\u4ed6\u60f3\u50cf\u4e00\u500b\u661f\u7cfb\u4e0d\u505c\u574d\u7e2e\uff0c\u574d\u7e2e\u5230\u7121\u6cd5\u56de\u982d\u7684\u5730\u6b65\uff0c\u842c\u7269\u7686\u88ab\u5438\u9032\u5176\u4e2d\uff0c\u9023\u5149\u90fd\u7121\u6cd5\u9003\u9038\u2026\u2026\uff0c\u6f58\u6d1b\u65af\u7a81\u7136\u767c\u73fe\uff0c\u9019\u7a2e\u60c5\u6cc1\u4e0d\u9700\u8981\u5047\u8a2d\u5c0d\u7a31\u6027\u6216\u4efb\u4f55\u7279\u6b8a\u7684\u74b0\u5883\uff0c\u5b83\u5011\u5c31\u5b58\u5728\u5728\u90a3\u88e1\uff0c\u5b87\u5b99\u7684\u5404\u500b\u89d2\u843d\uff0c\u4ed6\u5df2\u7d93\u89e3\u958b\u4e86\u300c\u5947\u9ede\u554f\u984c\u300d\u3002<\/p>\n<p>\u611b\u56e0\u65af\u5766\u7684\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u9810\u8a00\uff0c\u7576\u91cd\u529b\u5834\u592a\u5f37\uff0c\u8feb\u4f7f\u6975\u5927\u8cea\u91cf\u7684\u7269\u9ad4\u7e2e\u9032\u4e00\u8db3\u5920\u5c0f\u7684\u5340\u57df\u6642\uff0c\u300c\u5947\u9ede\uff08singularity\uff09\u300d\u4fbf\u6703\u5f62\u6210\uff0c\u4e5f\u5c31\u662f\u9ed1\u6d1e\uff08black hole\uff09\u3002\u5728\u5947\u9ede\uff0c\u4e00\u5207\u7269\u7406\u5b9a\u5f8b\u5c07\u4e0d\u518d\u6210\u7acb\uff0c\u56e0\u6b64\u7269\u7406\u5b78\u5bb6\u666e\u904d\u8a8d\u70ba\uff0c\u6211\u5011\u7684\u5b87\u5b99\u4e0d\u53ef\u80fd\u5b58\u5728\u5982\u6b64\u5947\u602a\u7684\u5340\u57df\uff0c\u7136\u800c\uff0c\u5728\u5341\u5b57\u8def\u53e3\u7684\u9748\u5149\u4e4d\u73fe\uff0c\u8b93\u6f58\u6d1b\u65af\u610f\u8b58\u5230\u6574\u500b\u554f\u984c\u7684\u89e3\u7b54\u3002<\/p>\n<p>\u56de\u5230\u8fa6\u516c\u5ba4\u4e2d\uff0c\u6f58\u6d1b\u65af\u7570\u5e38\u8208\u596e\uff0c\u4ed6\u958b\u59cb\u9032\u884c\u4e00\u9023\u4e32\u63a8\u5c0e\u3001\u6e2c\u8a66\uff0c\u9019\u7bc7\u8ad6\u6587\u57281965\u5e74\u767c\u8868\u5728\u300a\u7269\u7406\u8a55\u8ad6\u5feb\u5831\u300b\u4e0a\uff0c\u8b49\u660e\u4e86\u9ed1\u6d1e\u7684\u5f62\u6210\u662f\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u7684\u53ef\u9760\u9810\u6e2c\u300256\u5e74\u5f8c\uff0c\u9019\u4ee4\u4ed6\u7372\u5f97\u4e86\u8afe\u8c9d\u723e\u734e\u7684\u6700\u9ad8\u69ae\u8b7d\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u5e7e\u4f55\uff0c\u662f\u6f58\u6d1b\u65af\u5f9e\u5c0f\u7684\u73a9\u5177<\/strong><\/span><\/p>\n<p>\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\uff0c\u82f1\u570b\u6578\u5b78\u7269\u7406\u5b78\u5bb6\u30012020\u5e74\u8afe\u8c9d\u723e\u7269\u7406\u734e\u5f97\u4e3b\uff0c\u4ed6\u5c0d\u6578\u5b78\u7684\u71b1\u611b\uff0c\u53ef\u80fd\u6e90\u81ea\u65bc\u5f9e\u5c0f\u74b0\u5883\u7684\u8033\u6fe1\u76ee\u67d3\u3002\u4ed6\u51fa\u751f\u65bc\u79d1\u5b78\u4e16\u5bb6\uff0c\u6f58\u6d1b\u65af\u7684\u7236\u89aa\u840a\u6602\u5167\u723e\u00b7\u6f58\u6d1b\u65af\uff08Lionel Penrose\uff09\u662f\u5091\u51fa\u7684\u4eba\u985e\u907a\u50b3\u5b78\u5bb6\uff0c\u6bcd\u89aa\u662f\u91ab\u751f\uff0c\u5144\u5f1f\u4e5f\u5206\u5225\u662f\u512a\u79c0\u7684\u6578\u5b78\u5bb6\u3001\u897f\u6d0b\u68cb\u5927\u5e2b\u3002\u7236\u89aa\u5728\u4ed6\u4e0a\u9ad8\u4e2d\u524d\uff0c\u4fbf\u8feb\u4e0d\u53ca\u5f85\u5730\u6559\u5c0e\u5152\u5b50\u5011\u5fae\u7a4d\u5206\u3002\u6f58\u6d1b\u65af\u5c0d\u5e7e\u4f55\u5b78\u6709\u7a2e\u7368\u7279\u7684\u5929\u8ce6\u8207\u8208\u8da3\u3002\u5f9e\u5c0f\uff0c\u4ed6\u4fbf\u559c\u6b61\u7e6a\u756b\u3001\u52d5\u624b\u88fd\u4f5c\u591a\u9762\u9ad4\u6a21\u578b\uff0c\u4ed6\u8207\u5e7e\u4f55\u5716\u5f62\u76f8\u8655\u7684\u6642\u9593\uff0c\u9060\u591a\u904e\u6c88\u6d78\u65bc\u66f8\u672c\u4e4b\u4e2d\u3002\u7136\u800c\u4e8b\u5be6\u4e0a\uff0c\u6f58\u6d1b\u65af\u7684\u6578\u5b78\u5f88\u597d\uff0c\u5728\u5b78\u6642\u671f\u7684\u6210\u7e3e\u537b\u4e0d\u592a\u7406\u60f3\uff0c\u4ed6\u7e3d\u662f\u7b97\u5f97\u7279\u5225\u6162\uff0c\u56e0\u70ba\u4ed6\u559c\u6b61\u5f9e\u6700\u57fa\u672c\u7684\u539f\u5247\u4e2d\u5c0e\u51fa\u4e00\u5207\u7d50\u679c\u3002<\/p>\n<p>\u5728\u9032\u5165\u502b\u6566\u5927\u5b78\u5c31\u8b80\u5f8c\uff0c\u5e74\u50c524\u6b72\u7684\u6f58\u6d1b\u65af\u91cd\u65b0\u767c\u660e\u4e86\u5ee3\u7fa9\u9006\u77e9\u9663\uff08generalized inverse for matrices\uff09\u30021958\u5e74\uff0c\u4ed6\u5728\u77e5\u540d\u4ee3\u6578\u5b78\u5bb6\u8207\u5e7e\u4f55\u5b78\u5bb6\u7d04\u7ff0\u30fb\u9676\u5fb7\uff08John A. Todd\uff09\u6307\u5c0e\u4e0b\u7372\u5f97\u528d\u6a4b\u5927\u5b78\u535a\u58eb\u5b78\u4f4d\uff0c\u8ad6\u6587\u984c\u76ee\u70ba \u300a\u4ee3\u6578\u5e7e\u4f55\u5b78\u4e2d\u7684\u5f35\u91cf\u65b9\u6cd5\u300b (Tensor methods in algebraic geometry)\u3002<\/p>\n<p><strong><span style=\"color: #008080;\">\u8d70\u9032\u7269\u7406\uff0c\u89e3\u958b\u5b87\u5b99\u5947\u9ede\u4e4b\u8b0e<\/span><\/strong><\/p>\n<p>\u53d7\u5230\u597d\u53cb\u4e39\u5c3c\u65af\u30fb\u590f\u99ac\uff08Dennis Sciama\uff09\u7684\u5f71\u97ff\uff0c\u6f58\u6d1b\u65af\u7684\u7814\u7a76\u9818\u57df\u9010\u6f38\u5f9e\u6578\u5b78\u8f49\u5165\u5b87\u5b99\u5b78\uff0c\u4ed6\u5341\u5206\u8457\u8ff7\u65bc\u9ed1\u6d1e\u7684\u5b58\u5728\uff0c\u65bc\u662f\u548c\u53f2\u8482\u82ac\u30fb\u970d\u91d1\uff08Stephen Hawking\uff09\u5408\u4f5c\u7814\u7a76\u5947\u9ede\uff0c\u5275\u5efa\u6f58\u6d1b\u65af\u2014\u970d\u91d1\u5947\u9ede\u5b9a\u7406\uff0c\u985b\u8986\u4e86\u7576\u6642\u7684\u5b87\u5b99\u8d77\u6e90\u7406\u8ad6\u3002\u4ed6\u5f15\u5165\u300c\u626d\u91cf\uff08twistor\uff09\u300d\u7684\u6982\u5ff5\uff0c\u8a66\u5716\u5c07\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u8207\u91cf\u5b50\u529b\u5b78\u7d50\u5408\uff0c\u56e0\u70ba\u5728\u5947\u9ede\uff0c\u91cf\u5b50\u6548\u61c9\u4f54\u4e86\u4e3b\u5c0e\u7684\u5730\u4f4d\u30021970\u5e74\u4ee3\uff0c\u4ed6\u66f4\u63d0\u51fa\u300c\u5b87\u5b99\u5be9\u67e5\u5047\u8aaa\u300d\uff0c\u4e5f\u5c31\u662f\u5947\u9ede\u5fc5\u7136\u6703\u88ab\u4e8b\u4ef6\u8996\u754c\u5305\u88f9\u8d77\u4f86\uff0c\u56e0\u6b64\u6211\u5011\u6c38\u9060\u7121\u6cd5\u7aba\u8996\u5947\u9ede\u3002<\/p>\n<p>\u6f58\u6d1b\u65af\u662f\u500b\u7121\u795e\u8ad6\u8005\u3002\u4ed6\u5c0d\u5b87\u5b99\u7684\u8a95\u751f\u8207\u6b7b\u4ea1\u6709\u500b\u7279\u6b8a\u7684\u770b\u6cd5\uff0c\u5373\u5728\u6211\u5011\u7684\u5b87\u5b99\u56e0\u5927\u9739\u9742\u800c\u8a95\u751f\u4e4b\u524d\uff0c\u5c31\u6709\u53e6\u4e00\u500b\u5b87\u5b99\u5b58\u5728\u30022010 \u5e74\uff0c\u6f58\u6d1b\u65af\u5ba3\u7a31\u5df2\u7d93\u627e\u5230\u5927\u9739\u9742\u4e4b\u524d\u9084\u5b58\u5728\u53e6\u4e00\u500b\u5b87\u5b99\u7684\u8b49\u64da\uff1a\u5728\u5b87\u5b99\u5fae\u6ce2\u80cc\u666f\u8f3b\u5c04\u7684\u7814\u7a76\u4e2d\uff0c\u767c\u73fe\u4e86\u795e\u79d8\u7684\u540c\u5fc3\u5713\u73fe\u8c61\uff0c\u53ef\u80fd\u70ba\u524d\u4e00\u500b\u5b87\u5b99\u4e2d\u6240\u767c\u751f\u4e8b\u4ef6\u7559\u4e0b\u7684\u75d5\u8de1\uff0c\u53ef\u4ee5\u8a8d\u70ba\u662f\u5b87\u5b99\u4e4b\u524d\u9084\u6709\u5b87\u5b99\u7684\u8b49\u64da\u3002\u5c0d\u6b64\uff0c\u6f58\u6d1b\u65af\u5728\u63a5\u53d7\u82f1\u570b\u5ee3\u64ad\u516c\u53f8\u7684\u63a1\u8a2a\u4e2d\u63d0\u5230\uff1a\u300c\u5728\u6211\u6700\u65b0\u63d0\u51fa\u7684\u5b87\u5b99\u5b78\u7406\u8ad6\u4e2d\uff0c\u5b87\u5b99\u5b58\u5728\u6307\u6578\u5f0f\u7684\u81a8\u8139\uff0c\u4f46\u662f\u9019\u7a2e\u81a8\u8139\u4e26\u975e\u842c\u53e4\u4e0d\u8b8a\uff0c\u96a8\u8457\u9ed1\u6d1e\u5c07\u5b87\u5b99\u5167\u7684\u7269\u8cea\u5168\u90e8\u541e\u566c\uff0c\u5728\u9059\u9060\u7684\u672a\u4f86\u5c07\u4ee5\u5927\u9739\u9742\u7684\u5f62\u5f0f\u518d\u5ea6\u958b\u555f\u53e6\u4e00\u500b\u5b87\u5b99\u3002\u300d<\/p>\n<p><strong><span style=\"color: #008080;\">\u5ee3\u6cdb\u7684\u7814\u7a76\u8208\u8da3<\/span><\/strong><\/p>\n<p>\u9664\u4e86\u5b87\u5b99\u5b78\uff0c\u6f58\u6d1b\u65af\u5c0d\u65bc\u5e7e\u4f55\u5b78\u7684\u8ca2\u737b\u4e5f\u5341\u5206\u5353\u8d8a\u3002\u4ed6\u8207\u7236\u89aa\u5408\u4f5c\u5275\u9020\u51fa\u8a31\u591a\u770b\u4f3c\u4e0d\u53ef\u80fd\u5b58\u5728\u65bc\u4e09\u7dad\u7a7a\u9593\u7684\u5e7e\u4f55\u5716\u5f62\uff0c\u4f8b\u5982\u96fb\u5f71\u300a\u5168\u9762\u555f\u52d5\u300b\u4e2d\u7121\u9650\u5faa\u74b0\u7684\u6f58\u6d1b\u65af\u968e\u68af\uff0c\u4ee5\u53ca\u6f58\u6d1b\u65af\u4e09\u89d2\u5f62\uff0c\u9019\u4e9b\u5716\u5f62\u5728\u66f4\u9ad8\u7dad\u5ea6\u7684\u7a7a\u9593\u88e1\u90fd\u53ef\u4ee5\u8f15\u6613\u5be6\u73fe\u3002\u53e6\u5916\uff0c\u6f58\u6d1b\u65af\u5c0d\u65bc\u975e\u9031\u671f\u6027\u8cbc\u78da\u4e5f\u6709\u6fc3\u539a\u7684\u8208\u8da3\u3002\u5b83\u5011\u7531\u82e5\u5e72\u7a2e\u5716\u6848\u7d44\u6210\uff0c\u53ef\u4ee5\u56b4\u5bc6\u7684\u8cbc\u6eff\u7121\u9650\u5927\u7684\u5e73\u9762\uff0c\u62fc\u8cbc\u7684\u6a21\u5f0f\u537b\u53c8\u4e0d\u6703\u91cd\u8907\u30021974\u5e74\uff0c\u6f58\u6d1b\u65af\u767c\u73fe\u4e00\u7d44\u5177\u9769\u547d\u6027\u7684\u975e\u9031\u671f\u6027\u8cbc\u78da\uff0c\u53ea\u7528\u5169\u7a2e\u5716\u5f62\u69cb\u6210\u7e41\u8907\u7684\u82b1\u7d0b\u3002\u5728\u4ed6\u4e4b\u524d\uff0c\u6700\u597d\u7684\u4e00\u7d44\u4e5f\u9700\u8981\u81f3\u5c11\u516d\u7a2e\u5716\u5f62\u3002<\/p>\n<p>\u4e5f\u8a31\u53d7\u5230\u7236\u89aa\u7684\u5f71\u97ff\uff0c\u6f58\u6d1b\u65af\u5c0d\u65bc\u5927\u8166\u3001\u610f\u8b58\u7684\u5f62\u6210\u7b49\u554f\u984c\u4e5f\u5341\u5206\u611f\u8208\u8da3\uff0c\u4ed6\u64b0\u5beb\u4e86\u300a\u7687\u5e1d\u65b0\u8166\u300b\uff08The Emperor's New Mind\uff09\u4e00\u66f8\uff0c\u63a2\u8a0e\u7269\u7406\u5b78\u8207\u610f\u8b58\u7684\u95dc\u806f\u3002\u6f58\u6d1b\u65af\u63d0\u51fa\u4e00\u7a2e\u5177\u722d\u8b70\u7684\u60f3\u6cd5\uff0c\u5373\u91cf\u5b50\u904e\u7a0b\u5728\u610f\u8b58\u7684\u7522\u751f\u4e2d\u626e\u6f14\u95dc\u9375\u7684\u89d2\u8272\u3002<\/p>\n<figure id=\"attachment_36038\" aria-describedby=\"caption-attachment-36038\" style=\"width: 569px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"size-full wp-image-36038\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2021\/01\/02-1.png\" alt=\"\" width=\"569\" height=\"279\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2021\/01\/02-1.png 569w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2021\/01\/02-1-300x147.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><figcaption id=\"caption-attachment-36038\" class=\"wp-caption-text\">\u5de6\u5716\uff1a\u6f58\u6d1b\u65af\u4e09\u89d2\u5f62\u3002\u53f3\u5716\uff1a\u6f58\u6d1b\u65af\u968e\u68af\u3002<br \/>\u5716\u7247\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1\u3002<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>\u73fe\u5df289\u6b72\u9ad8\u9f61\u7684\u6f58\u6d1b\u65af\uff0c\u5728\u4ed6\u7684\u5b78\u8853\u751f\u6daf\u4e2d\uff0c\u5c0d\u65bc\u6578\u5b78\u3001\u7269\u7406\u5b78\u3001\u5b87\u5b99\u5b78\u7b49\u9818\u57df\u90fd\u505a\u51fa\u6975\u5927\u7684\u8ca2\u737b\uff0c\u4e5f\u9678\u7e8c\u7372\u5f97\u827e\u4e01\u9813\u734e\u7ae0\u3001\u72c4\u62c9\u514b\u734e\u3001\u6c83\u723e\u592b\u7269\u7406\u5b78\u734e\u7b49\u69ae\u8b7d\uff0c\u4eca\u5e74\uff0c\u7531\u65bc\u5c0d\u9ed1\u6d1e\u5b58\u5728\u7684\u8b49\u660e\uff0c\u6f58\u6d1b\u65af\u7372\u5f97\u8afe\u8c9d\u723e\u7269\u7406\u734e\uff0c\u4e26\u5f97\u5230\u4e00\u534a\u7684\u734e\u91d1\uff0c\u4ed6\u88ab\u8a8d\u70ba\u8207\u611b\u56e0\u65af\u5766\u3001\u970d\u91d1\u7b49\u7269\u7406\u754c\u5de8\u64d8\u9f4a\u540d\u3002<\/p>\n<p>\u4e00\u500b\u6578\u5b78\u7269\u7406\u5b78\u5bb6\uff0c\u601d\u60f3\u7121\u9060\u5f17\u5c46\uff0c\u900f\u904e\u7f8e\u5999\u7684\u516c\u5f0f\uff0c\u5e36\u9818\u4eba\u985e\u4e00\u7aba\u5b87\u5b99\u4e2d\u6700\u795e\u79d8\u7684\u89d2\u843d\uff0c\u5728\u90a3\u9023\u5149\u90fd\u7121\u6cd5\u9003\u9038\u7684\u81f3\u6df1\u81f3\u9ed1\u8655\uff0c\u6f58\u6d1b\u65af\u70ba\u6211\u5011\u9ede\u4eae\u4e00\u9053\u5149\uff0c\u7167\u898b\u79d1\u5b78\u7684\u524d\u666f\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u53c3\u8003\u8cc7\u6599\uff1a<\/p>\n<ol start=\"3\">\n<li>\u90b5\u7d05\u80fd\uff0c<a href=\"https:\/\/web.math.sinica.edu.tw\/mathmedia\/HTMLarticle18.jsp?mID=42407\">\u300c\u970d\u91d1\u7684\u5408\u4f5c\u8005\u300d\u2500 \u5f6d\u7f85\u65af\u7684\u6578\u5b78\u4eba\u751f<\/a>\uff0c\u6578\u5b78\u50b3\u64ad\uff0c2018\u5e7412\u6708\u3002<\/li>\n<li><a href=\"https:\/\/www.nobelprize.org\/prizes\/physics\/2020\/penrose\/interview\/\">Roger Penrose interview<\/a>, 2020.10.<\/li>\n<li>Jonathan Amos, Sir Roger Penrose: <a href=\"https:\/\/www.bbc.com\/news\/science-environment-54439150\">The man who proved black holes weren't 'impossible<\/a>', BBC news, 2020.10.<\/li>\n<li><a href=\"https:\/\/zh.wikipedia.org\/wiki\/%E7%BE%85%E5%82%91%C2%B7%E6%BD%98%E6%B4%9B%E6%96%AF\">\u7dad\u57fa\u767e\u79d1<\/a>\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u7f85\u5091\u30fb\u6f58\u6d1b\u65af\uff08Roger Penrose\uff09\u56e0\u8b49\u660e\u9ed1\u6d1e\u7684\u5f62\u6210\u662f\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u7684\u53ef\u9760\u9810\u6e2c\u800c\u7372\u5f972020\u5e74\u8afe\u8c9d\u723e\u7269\u7406\u734e\u3002\u5176\u5be6\u5f9e\u5c0f\uff0c\u6f58\u6d1b\u65af\u4fbf\u5c0d\u5e7e\u4f55\u554f\u984c\u5341\u5206\u611f\u8208\u8da3\uff0c\u5b87\u5b99\u4e2d\u795e\u79d8\u800c\u6df7\u4e82\u7684\u300c\u5947\u9ede\u300d\u6210\u4e86\u4ed6\u7684\u6700\u611b\uff0c\u5728\u4e00\u6b21\u904e\u99ac\u8def\u7684\u9748\u5149\u4e4d\u73fe\u4e2d\u89e3\u958b\u4e86\u7b54\u6848\u3002\u9664\u4e86\u5b87\u5b99\u5b78\uff0c\u6f58\u6d1b\u65af\u4e5f\u5728\u975e\u9031\u671f\u6027\u8cbc\u78da\u3001\u610f\u8b58\u7684\u5f62\u6210\u7b49\u9818\u57df\u6709\u8af8\u591a\u8ca2\u737b\uff0c\u5e36\u9818\u4eba\u985e\u5728\u79d1\u5b78\u4e4b\u8def\u4e0a\u9081\u9032\u4e00\u5927\u6b65\u3002<\/p>\n","protected":false},"author":20,"featured_media":36033,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39,1042],"tags":[4801,4800,880,805],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2021\/01\/01.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/35946"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=35946"}],"version-history":[{"count":5,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/35946\/revisions"}],"predecessor-version":[{"id":36040,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/35946\/revisions\/36040"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/36033"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=35946"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=35946"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=35946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}