{"id":20311,"date":"2019-10-31T00:00:13","date_gmt":"2019-10-30T16:00:13","guid":{"rendered":"https:\/newsletter.sinica.edu.tw\/?p=20311"},"modified":"2021-04-27T10:23:54","modified_gmt":"2021-04-27T02:23:54","slug":"%e9%87%8d%e5%8a%9b%e6%b3%a2%ef%bc%8ci-got-you%ef%bc%81%e9%82%a3%e5%a0%b4%e9%bb%91%e6%b4%9e%e5%90%88%e4%bd%b5%e4%ba%8b%e4%bb%b6%e5%87%ba%e8%b3%a3%e4%bd%a0%e4%ba%86","status":"publish","type":"post","link":"https:\/newsletter.sinica.edu.tw\/20311\/","title":{"rendered":"\u91cd\u529b\u6ce2\uff0cI got you\uff01\u90a3\u5834\u9ed1\u6d1e\u5408\u4f75\u4e8b\u4ef6\u51fa\u8ce3\u4f60\u4e86"},"content":{"rendered":"

\u91cd\u529b\u6ce2\u8207\u9ed1\u6d1e<\/strong><\/p>\n

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\u82e5\u8aaa\u8d77\u8fd1\u5e74\u79d1\u666e\u754c\u6700\u706b\u7d05\u7684\u95dc\u9375\u5b57\uff0c\u7d55\u5c0d\u5c11\u4e0d\u4e86\u300c\u91cd\u529b\u6ce2\u300d\u3002\u91cd\u529b\u6ce2\u7206\u7d05\u7684\u539f\u56e0\uff0c\u7121\u975e\u662f\u4f4d\u65bc\u7f8e\u570b\u7684\u96f7\u5c04\u5e72\u6d89\u5100\u91cd\u529b\u6ce2\u89c0\u6e2c\u7ad9\uff08 LIGO \uff09\u5728 2015 \u5e74\u9996\u5ea6\u89c0\u5bdf\u5230\u4f86\u81ea\u4e00\u5834\u9ed1\u6d1e\u5408\u4f75\u4e8b\u4ef6\u5f15\u8d77\u7684\u91cd\u529b\u6ce2\uff0c\u4e26\u65bc 2017 \u5e74\u7372\u5f97\u8afe\u8c9d\u723e\u7269\u7406\u734e\u7684\u80af\u5b9a\u3002\u91cd\u529b\u6ce2\u5230\u5e95\u662f\u4ec0\u9ebc\uff1f\u548c\u9ed1\u6d1e\u53c8\u6709\u4ec0\u9ebc\u95dc\u4fc2\uff1f2019 \u5e74\u4e2d\u7814\u9662\u9662\u5340\u958b\u653e\u65e5\uff0c\u4e2d\u7814\u9662\u7269\u7406\u6240\u5433\u5efa\u5b8f\u7814\u7a76\u54e1\u7684\u7cbe\u5f69\u6f14\u8b1b\u300c\u5229\u7528\u91cd\u529b\u6ce2\u63a2\u6e2c\u5b87\u5b99\u9ed1\u6d1e\u300d\uff0c\u8981\u8ddf\u5927\u5bb6\u804a\u804a\u91cd\u529b\u6ce2\u5927\u5c0f\u4e8b\u3002<\/div>\n
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\u91cd\u529b\u50cf\u6c34\u6ce2\uff1f<\/b><\/strong><\/h2>\n

\u5b87\u5b99\u842c\u7269\u4e4b\u9593\u90fd\u6709\u91cd\u529b\uff0c\u6bd4\u5982\u8aaa\uff0c\u5730\u7403\u662f\u56e0\u70ba\u5177\u6709\u91cd\u529b\uff0c\u624d\u80fd\u628a\u6211\u5011\u300c\u5438\u300d\u5728\u5730\u8868\u4e0a\uff1b\u592a\u967d\u662f\u56e0\u70ba\u5177\u6709\u91cd\u529b\uff0c\u624d\u80fd\u8b93\u516b\u5927\u884c\u661f\u4e0d\u65b7\u7e5e\u8457\u5b83\u516c\u8f49\u3002<\/p>\n

\u4e0d\u904e\uff0c\u611b\u56e0\u65af\u5766\u7684\u5ee3\u7fa9\u76f8\u5c0d\u8ad6\u4e2d\uff0c\u8a8d\u70ba\u91cd\u529b\u662f\u4f86\u81ea\u7a7a\u9593\u7684\u626d\u66f2\uff0c\u8cea\u91cf\u6108\u5927\u7684\u7269\u9ad4\uff0c\u5468\u570d\u7684\u7a7a\u9593\u5c31\u626d\u66f2\u7684\u6108\u53b2\u5bb3\u3002\u800c\u7576\u7269\u9ad4\u52a0\u901f\u5ea6\u524d\u9032\u6642\uff0c\u5247\u6703\u4f7f\u7a7a\u9593\u7684\u626d\u66f2\u767c\u751f\u8b8a\u5316\u3001\u7522\u751f\u300c\u6f23\u6f2a\u300d\uff0c\u9019\u5c31\u662f\u300c\u91cd\u529b\u6ce2<\/a>\u300d\u3002\u5433\u5efa\u5b8f\u5f62\u5bb9\uff1a\u300c\u5c31\u50cf\u6c34\u4e2d\u7684\u6f23\u6f2a\u90a3\u6a23\uff0c\u6c34\u6ce2\u662f\u4f9d\u8cf4\u8457\u6c34\u800c\u5b58\u5728\uff0c\u91cd\u529b\u6ce2\u5247\u662f\u4f9d\u8cf4\u8457\u7a7a\u9593\u800c\u5b58\u5728\u3002\u300d<\/p>\n

\u65e2\u7136\u5b87\u5b99\u4e2d\u6709\u90a3\u9ebc\u591a\u5929\u9ad4\uff0c\u800c\u4e14\u8cea\u91cf\u5927\u7684\u4e5f\u4e0d\u5c11\uff0c\u53ef\u4ee5\u60f3\u50cf\u6211\u5011\u6240\u8655\u7684\u300c\u7a7a\u9593\u300d\u5230\u8655\u90fd\u662f\u91cd\u529b\u6ce2\uff0c\u4e00\u9ede\u4e5f\u4e0d\u5e73\u6ed1\uff0c\u53cd\u800c\u53ef\u80fd\u50cf\u8655\u8655\u6c34\u6ce2\u8569\u6f3e\u7684\u5927\u6c60\u5858\uff0c\u771f\u662f\u985b\u8986\u76f4\u89ba\uff01<\/p>\n

\"\u91cd\u529b\u6ce2\u793a\u610f\u5716\u3002\u7576\u7269\u9ad4\u52a0\u901f\u5ea6\u524d\u9032\u6642

\u91cd\u529b\u6ce2\u793a\u610f\u5716\u3002\u7576\u7269\u9ad4\u52a0\u901f\u5ea6\u524d\u9032\u6642 (\u5982\u5169\u500b\u8d85\u5927\u8cea\u91cf\u661f\u9ad4\u4e92\u7e5e)\uff0c\u6703\u4f7f\u7a7a\u9593\u7684\u626d\u66f2\u767c\u751f\u8b8a\u5316\u3001\u7522\u751f\u300c\u6f23\u6f2a\u300d\uff0c\u9019\u5c31\u662f\u300c\u91cd\u529b\u6ce2\u300d\u3002 \u5716\u7247\u4f86\u6e90\u2502R. Hurt\/Caltech-JPL<\/p><\/div>\n<\/div>\n

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 <\/p>\n

\u65e2\u7136\u91cd\u529b\u6ce2\u5230\u8655\u90fd\u662f\uff0c\u70ba\u4ec0\u9ebc\u5728\u611b\u56e0\u65af\u5766 1916 \u5e74\u63d0\u51fa\u91cd\u529b\u6ce2\u4e4b\u5f8c\uff0c\u6211\u5011\u76f8\u9694\u4e86\u7d04\u4e00\u767e\u5e74\uff0c\u624d\u7d42\u65bc\u900f\u904e\u00a0\u00a0LIGO<\/a>\u00a0\u627e\u5230\u4e86\u5b83\u5b58\u5728\u7684\u8b49\u64da\u5462\uff1f<\/p>\n

\u56e0\u70ba\u91cd\u529b\u6ce2\u80fd\u5f15\u8d77\u7684\u300c\u6ce2\u52d5\u300d\u975e\u5e38\u7684\u5c0f\uff0c\u79d1\u5b78\u5bb6\u4f30\u8a08\u5373\u4f7f\u662f\u5287\u70c8\u7684\u5929\u9ad4\u5408\u4f75\u4e8b\u4ef6\uff0c\u80fd\u5f15\u8d77\u7684\u91cd\u529b\u6ce2\u6240\u9020\u6210\u7684\u7a7a\u9593\u64fe\u52d5\uff0c\u50b3\u905e\u5230\u5730\u7403\u6642\uff0c\u6578\u91cf\u7d1a\u4e5f\u9802\u591a\u53ea\u6709 10-12<\/sup>\u00a0\u6bd4 1\uff0c\u63db\u7b97\u4e0b\u4f86\uff0c\u4e00\u500b\u4e00\u516c\u91cc\u9577\u7684\u7269\u9ad4\uff0c\u56e0\u70ba\u91cd\u529b\u6ce2\u800c\u9020\u6210\u7684\u6539\u8b8a\u91cf\u53ea\u6709\u5343\u5206\u4e4b\u4e00\u500b\u539f\u5b50\u6838\u76f4\u5f91\u90a3\u9ebc\u9577\u800c\u5df2\uff0c\u4e5f\u96e3\u602a\u611b\u56e0\u65af\u5766\u5728\u63d0\u51fa\u91cd\u529b\u6ce2\u4e4b\u5f8c\uff0c\u66fe\u8aaa\u904e\u300c\u6211\u5011\u53ef\u80fd\u6c38\u9060\u6e2c\u91cf\u4e0d\u5230\u91cd\u529b\u6ce2\u7684\u5b58\u5728\u3002\u300d\u4e0d\u904e\uff0c\u5e78\u597d\u5982\u6b64\uff0c\u6211\u5011\u624d\u4e0d\u6703\u611f\u89ba\u81ea\u5df1\u4e00\u4e0b\u5b50\u8b8a\u77ee\u3001\u4e00\u4e0b\u5b50\u53c8\u8b8a\u80d6\uff0c\u5c0d\u5427\uff1f<\/p>\n<\/div>\n<\/div>\n

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\u5118\u7ba1\u9023\u611b\u56e0\u65af\u5766\u90fd\u6c92\u628a\u63e1\u6e2c\u5f97\u5230\uff0c\u4f46\u4e0d\u8981\u5c0f\u770b\u79d1\u5b78\u5bb6\u7684\u9b25\u5fd7\u3002\u65e2\u7136\u6ce2\u52d5\u5f88\u5c0f\uff0c\u6211\u5011\u5c31\u8a2d\u8a08\u8d85\u7d1a\u7cbe\u5bc6\u7684\u5100\u5668\u4f86\u6e2c\u91cf\u5b83\uff01\u5728\u79d1\u5b78\u5bb6\u5927\u7121\u754f\u7684\u7cbe\u795e\u4e0b\u88fd\u9020\u51fa\u7684 LIGO \uff0c\u7cbe\u78ba\u5ea6\u6578\u91cf\u7d1a\u786c\u662f\u9ad8\u9054\u4e86 10-22<\/sup>\u00a0\uff01<\/p>\n<\/div>\n

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\u5728\u611b\u56e0\u65af\u5766\u63d0\u51fa\u91cd\u529b\u6ce2\u7684\u4e00\u767e\u5e74\u5f8c\uff0c\u6211\u5011\u7d42\u65bc\u627e\u5230\u4e86\u91cd\u529b\u6ce2\u5b58\u5728\u7684\u8b49\u64da\u3002<\/strong><\/b><\/h4>\n<\/blockquote>\n

LIGO \u7684\u5b8c\u7f8e L<\/strong><\/b><\/h2>\n

\u79d1\u5b78\u5bb6\u662f\u600e\u9ebc\u505a\u5230\u7684\u5462\uff1f\u7b54\u6848\u5c31\u5728 LIGO \u8d85\u7279\u5225\u7684\u8a2d\u8a08\u88e1\u3002LIGO \u5305\u542b\u4e86\u4e00\u7d44\u76f8\u4e92\u5782\u76f4\u3001\u5448 L \u5f62\u7684\u5169\u6839\u7ba1\u5b50\uff0c\u6bcf\u6839\u7ba1\u5b50\u7684\u9577\u5ea6\u90fd\u662f\u56db\u516c\u91cc\u3002\u4e00\u958b\u59cb\uff0c\u5f9e\u4ea4\u89d2\u8655\u51fa\u767c\u7684\u96f7\u5c04\u5149\uff0c\u6703\u88ab\u5206\u5149\u93e1\u5206\u6210\u5169\u9053\uff0c\u5404\u81ea\u6cbf\u8457\u5169\u6839\u7ba1\u5b50\u524d\u9032\uff0c\u518d\u7531\u7ba1\u672b\u7684\u53cd\u5c04\u93e1\u53cd\u5c04\u56de\u4f86\u3002\u96f7\u5c04\u5149\u4f86\u56de\u53cd\u5c04\u56db\u767e\u8d9f\u4e4b\u5f8c\uff0c\u6703\u5728\u4ea4\u89d2\u8655\u6703\u5408\u4e26\u4e92\u76f8\u5e72\u6d89\u3002<\/p>\n

\u5728\u6c92\u6709\u91cd\u529b\u6ce2\u7684\u60c5\u6cc1\u4e0b\uff0c\u5f9e\u5169\u6839\u7ba1\u5b50\u56de\u4f86\u7684\u96f7\u5c04\u5149\u8d70\u7684\u8def\u7a0b\u9577\u5ea6\u5b8c\u5168\u76f8\u540c\uff0c\u5728\u5e72\u6d89\u904e\u7a0b\u4e2d\u6703\u5f7c\u6b64\u62b5\u6d88\uff0c\u4e0d\u6703\u7522\u751f\u8a0a\u865f\u3002\u4f46\u5982\u679c\u91cd\u529b\u6ce2\u5f15\u8d77\u7a7a\u9593\u626d\u66f2\uff0c\u5c31\u53ef\u80fd\u5c0d\u5169\u6839\u7ba1\u5b50\u7684\u9577\u5ea6\u7522\u751f\u5f71\u97ff\uff0c\u62c9\u4f38\u6216\u58d3\u7e2e\u4e86\u4e00\u9ede\u9ede\uff0c\u5169\u9053\u96f7\u5c04\u5149\u7684\u5149\u7a0b\u5c31\u6703\u6709\u4e9b\u5fae\u4e0d\u4e00\u6a23\uff0c\u56de\u5230\u4ea4\u89d2\u8655\u6642\u7684\u76f8\u4f4d\u4e5f\u6703\u6709\u4e00\u9ede\u9ede\u5dee\u7570\uff0c\u9019\u4e00\u9ede\u9ede\u7684\u5dee\u7570\u5c31\u8db3\u4ee5\u8b93 LIGO \u7cbe\u5bc6\u7684\u5e72\u6d89\u5100\u5668\u7522\u751f\u5e72\u6d89\u8a0a\u865f\uff0c\u8b93\u79d1\u5b78\u5bb6\u77e5\u9053\uff1a\u300c\u563f\uff01\u525b\u525b\u6709\u91cd\u529b\u6ce2\u7d93\u904e\u9019\u88e1\uff01\u300d<\/p>\n

\u63db\u8a00\u4e4b\uff0c\u5118\u7ba1\u91cd\u529b\u6ce2\u80fd\u7522\u751f\u7684\u7a7a\u9593\u64fe\u52d5\u8d85\u7d1a\u5c0f\uff0c\u4f46 LIGO \u628a\u96f7\u5c04\u5149\u7684\u5149\u7a0b\u62c9\u5f97\u8d85\u7d1a\u9577\uff0c\u76e1\u53ef\u80fd\u628a\u91cd\u529b\u6ce2\u9020\u6210\u7684\u7a7a\u9593\u64fe\u52d5\u653e\u5927\u5230\u53ef\u89c0\u6e2c\u7684\u7a0b\u5ea6\uff0c\u7136\u5f8c\u7b49\u5f85\u8db3\u5920\u5927\u7684\u91cd\u529b\u6ce2\u4f86\u81e8\u6642\uff0c\u5c31\u662f\u6211\u5011\u7aba\u63a2\u5b83\u7684\u597d\u6a5f\u6703\u3002<\/p>\n

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\"\u96f7\u5c04\u5149\u88ab\u5206\u5149\u93e1\u5206\u6210\u5169\u9053\uff0c\u5206\u5225\u6cbf\u8457\u5169\u6839\u7ba1\u5b50\u524d\u9032\uff0c\u7d93\u7531\u7ba1\u672b\u7684\u53cd\u5c04\u93e1\u53cd\u5c04\u56db\u767e\u8d9f\u4e4b\u5f8c\uff0c\u5169\u9053\u96f7\u5c04\u5149\u6703\u5728\u51fa\u767c\u7684\u4ea4\u89d2\u8655\u6703\u5408\u4e26\u4e92\u76f8\u5e72\u6d89\u3002\u5982\u679c\u6c92\u6709\u91cd\u529b\u6ce2\uff0c\u5169\u9053\u5149\u7a0b\u4e00\u6a23(\u5169\u6839\u7ba1\u9577\u4e00\u6a23)\uff0c\u4e0d\u6703\u51fa\u73fe\u5e72\u6d89\u689d\u7d0b\u3002\u5982\u679c\u6709\u91cd\u529b\u6ce2\u7d93\u904e\uff0c\u5149\u7a0b\u4e0d\u540c(\u7ba1\u9577\u4e9b\u8a31\u4e0d\u540c)\uff0c\u5c31\u6703\u51fa\u73fe\u5e72\u6d89\u689d\u7d0b\uff0c\u85c9\u6b64\u5075\u6e2c\u51fa\u91cd\u529b\u6ce2\u3002\u8cc7\u6599\u4f86\u6e90\u2502

\u96f7\u5c04\u5149\u88ab\u5206\u5149\u93e1\u5206\u6210\u5169\u9053\uff0c\u5206\u5225\u6cbf\u8457\u5169\u6839\u7ba1\u5b50\u524d\u9032\uff0c\u7d93\u7531\u7ba1\u672b\u7684\u53cd\u5c04\u93e1\u53cd\u5c04\u56db\u767e\u8d9f\u4e4b\u5f8c\uff0c\u5169\u9053\u96f7\u5c04\u5149\u6703\u5728\u51fa\u767c\u7684\u4ea4\u89d2\u8655\u6703\u5408\u4e26\u4e92\u76f8\u5e72\u6d89\u3002\u5982\u679c\u6c92\u6709\u91cd\u529b\u6ce2\uff0c\u5169\u9053\u5149\u7a0b\u4e00\u6a23(\u5169\u6839\u7ba1\u9577\u4e00\u6a23)\uff0c\u4e0d\u6703\u51fa\u73fe\u5e72\u6d89\u689d\u7d0b\u3002\u5982\u679c\u6709\u91cd\u529b\u6ce2\u7d93\u904e\uff0c\u5149\u7a0b\u4e0d\u540c(\u7ba1\u9577\u4e9b\u8a31\u4e0d\u540c)\uff0c\u5c31\u6703\u51fa\u73fe\u5e72\u6d89\u689d\u7d0b\uff0c\u85c9\u6b64\u5075\u6e2c\u51fa\u91cd\u529b\u6ce2\u3002 \u8cc7\u6599\u4f86\u6e90\u2502 LIGO will be getting a quantum upgrade \u5716\u8aaa\u8a2d\u8a08\u2502\u9ec3\u66c9\u541b\u3001\u6797\u6d35\u5b89<\/p><\/div>\n

\u770b\u898b\u4e86\uff01\u9ed1\u6d1e\u5728\u5408\u4f75<\/strong><\/b><\/h2>\n

\u7576\u7136\uff0c\u5118\u7ba1\u6211\u5011\u7528 LIGO \u9019\u6a23\u7684\u5100\u5668\u505a\u4e86\u842c\u5168\u7684\u6e96\u5099\uff0c\u8981\u770b\u5230\u300c\u8db3\u5920\u5927\u300d\u7684\u91cd\u529b\u6ce2\uff0c\u9084\u5f97\u6709\u5929\u6642\u5730\u5229\u7684\u5e6b\u52a9\u624d\u884c\u3002\u91cd\u529b\u6ce2\u96d6\u7136\u53ef\u4ee5\u7a7f\u900f\u842c\u7269\uff0c\u4e0d\u50cf\u5149\u4e00\u6a23\u5bb9\u6613\u88ab\u64cb\u4f4f\uff0c\u4f46\u82e5\u6ce2\u6e90\u592a\u9060\uff0c\u6ce2\u7684\u5f37\u5ea6\u9084\u662f\u6703\u96a8\u8457\u8ddd\u96e2\u9010\u6f38\u6e1b\u5f31\uff0c\u6240\u4ee5\u5f97\u6709\u4e00\u500b\u8ddd\u96e2\u5730\u7403\u4e0d\u592a\u9060\uff0c\u53c8\u80fd\u7522\u751f\u660e\u986f\u91cd\u529b\u6ce2\u7684\u6ce2\u6e90\u624d\u884c\u3002<\/p>\n

\u6b64\u5916\uff0c\u8981\u7522\u751f\u91cd\u529b\u6ce2\uff0c\u9700\u8981\u5929\u9ad4\u7cfb\u7d71\u5728\u65cb\u8f49\u6642\u7684\u300c\u8f2a\u5ed3\u300d\u7522\u751f\u8b8a\u5316\uff0c\u4e5f\u5c31\u662f\u9019\u500b\u7cfb\u7d71\u672c\u8eab\u7684\u5916\u89c0\u6108\u4e0d\u5c0d\u7a31\u6108\u597d\u3002\u5982\u679c\u662f\u4e00\u500b\u7403\u72c0\u5c0d\u7a31\u7684\u5929\u9ad4\u5728\u81ea\u8f49\uff0c\u6216\u8005\u5929\u9ad4\u5f88\u5e73\u5747\u7684\u5411\u5167\u584c\u7e2e\uff0c\u662f\u4e0d\u6703\u7522\u751f\u91cd\u529b\u6ce2\u7684\u3002\u53cd\u904e\u4f86\u8aaa\uff0c\u4e00\u500b\u96d9\u661f\u7cfb\u7d71<\/a>\u5f7c\u6b64\u7e5e\u884c\u6700\u5f8c\u5408\u4f75\u7684\u904e\u7a0b\uff0c\u7531\u65bc\u96d9\u661f\u4f4d\u7f6e\u4e00\u76f4\u8b8a\u63db\uff0c\u6574\u500b\u7cfb\u7d71\u7684\u4e0d\u5c0d\u7a31\u6027\u9ad8\uff0c\u56e0\u6b64\u7522\u751f\u7684\u91cd\u529b\u6ce2\u5c31\u6703\u6bd4\u8f03\u660e\u986f\uff0c\u6240\u5e36\u51fa\u7684\u80fd\u91cf\u4e5f\u6703\u6bd4\u8f03\u5927\uff0c\u76f8\u5c0d\u5bb9\u6613\u89c0\u6e2c\u3002\u65e2\u7136\u5982\u6b64\uff0c\u6700\u53ef\u80fd\u7522\u751f\u91cd\u529b\u6ce2\u7684\u4e8b\u4ef6\uff0c\u5c31\u83ab\u904e\u65bc\u300c\u9ed1\u6d1e\u5408\u4f75\u300d\u53ca\u300c\u4e2d\u5b50\u661f\u5408\u4f75\u300d\u4e86\u3002\u4ee5\u4e0b\u662f\u4ee5\u96fb\u8166\u6a21\u64ec\u5169\u500b\u9ed1\u6d1e\u5408\u4f75\u4e8b\u4ef6\u4ee5\u53ca\u5728\u904e\u7a0b\u4e2d\u767c\u51fa\u7684\u91cd\u529b\u6ce2\u3002<\/p>\n

 <\/p>\n<\/div>\n

 <\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

\u8981\u770b\u66f4\u5b8c\u6574\u7684\u7cbe\u91c7\u6587\u7ae0\uff0c\u8acb\u81f3\u7814\u4e4b\u6709\u7269\u5b98\u7db2\uff1a<\/strong><\/h2>\n

http:\/research.sinica.edu.tw\/ng-kin-wang-gravity-wave-black-hole\/<\/em><\/a><\/h2>\n

\uff08\u8d95\u5feb\u9ede\u9032\u4f86\u5594\uff01\u9084\u6709\u66f4\u591a\u7cbe\u91c7\u5716\u6587\uff01\uff09<\/strong><\/h2>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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