CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="zh" dir="ltr"> <head> <meta charset="UTF-8"> <title>普朗克長度 - 维基百科，自由的百科全书</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )zhwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"zh", "wgMonthNames":["","1月","2月","3月","4月","5月","6月","7月","8月","9月","10月","11月","12月"],"wgRequestId":"bd95109e-19b4-42aa-af64-5a7c5f86aa56","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"普朗克長度","wgTitle":"普朗克長度","wgCurRevisionId":80264953,"wgRevisionId":80264953,"wgArticleId":209306,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["自2022年10月需补充来源的条目","拒绝当选首页新条目推荐栏目的条目","自2022年10月需要從英語維基百科翻譯的條目","需要從英語維基百科翻譯的條目","所有需要專家關注的頁面","其他需要專家關注的頁面","含有多个问题的条目","需要量子物理专家关注的页面","自然單位","長度單位"],"wgPageViewLanguage":"zh","wgPageContentLanguage":"zh","wgPageContentModel":"wikitext","wgRelevantPageName":"普朗克長度", "wgRelevantArticleId":209306,"wgUserVariant":"zh","wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"zh","pageLanguageDir":"ltr","pageVariantFallbacks":["zh-hans","zh-hant","zh-cn","zh-tw","zh-hk","zh-sg","zh-mo","zh-my"]},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":5000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q207387","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList", "mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.gadget.large-font":"ready","ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","jquery.makeCollapsible.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","jquery.makeCollapsible","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP", "ext.centralNotice.startUp","ext.gadget.edit0","ext.gadget.WikiMiniAtlas","ext.gadget.UnihanTooltips","ext.gadget.Difflink","ext.gadget.pseudonamespace-UI","ext.gadget.SpecialWikitext","ext.gadget.switcher","ext.gadget.VariantAlly","ext.gadget.AdvancedSiteNotices","ext.gadget.hideConversionTab","ext.gadget.internalLinkHelper-altcolor","ext.gadget.noteTA","ext.gadget.NavFrame","ext.gadget.collapsibleTables","ext.gadget.scrollUpButton","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cjquery.makeCollapsible.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=zh&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=ext.gadget.large-font&only=styles&skin=vector-2022"> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/d/d7/Max_planck.jpg"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1785"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/d/d7/Max_planck.jpg"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="1190"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="952"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="普朗克長度 - 维基百科，自由的百科全书"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//zh.m.wikipedia.org/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" type="application/x-wiki" title="编辑本页" href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (zh)"> <link rel="EditURI" type="application/rsd+xml" href="//zh.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://zh.wikipedia.org/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh" href="https://zh.wikipedia.org/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hans" href="https://zh.wikipedia.org/zh-hans/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hans-CN" href="https://zh.wikipedia.org/zh-cn/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hans-MY" href="https://zh.wikipedia.org/zh-my/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hans-SG" href="https://zh.wikipedia.org/zh-sg/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hant" href="https://zh.wikipedia.org/zh-hant/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hant-HK" href="https://zh.wikipedia.org/zh-hk/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hant-MO" href="https://zh.wikipedia.org/zh-mo/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="zh-Hant-TW" href="https://zh.wikipedia.org/zh-tw/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="alternate" hreflang="x-default" href="https://zh.wikipedia.org/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.zh"> <link rel="alternate" type="application/atom+xml" title="Wikipedia的Atom feed" href="/w/index.php?title=Special:%E6%9C%80%E8%BF%91%E6%9B%B4%E6%94%B9&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-普朗克長度 rootpage-普朗克長度 skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">跳转到内容</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="主菜单" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">主菜单</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">主菜单</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">隐藏</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> 导航 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Wikipedia:%E9%A6%96%E9%A1%B5" title="访问首页[z]" accesskey="z"><span>首页</span></a></li><li id="n-indexpage" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%88%86%E7%B1%BB%E7%B4%A2%E5%BC%95" title="以分类索引搜寻中文维基百科"><span>分类索引</span></a></li><li id="n-Featured_content" class="mw-list-item"><a href="/wiki/Portal:%E7%89%B9%E8%89%B2%E5%85%A7%E5%AE%B9" title="查看中文维基百科的特色内容"><span>特色内容</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:%E6%96%B0%E8%81%9E%E5%8B%95%E6%85%8B" title="提供当前新闻事件的背景资料"><span>新闻动态</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:%E6%9C%80%E8%BF%91%E6%9B%B4%E6%94%B9" title="列出维基百科中的最近修改[r]" accesskey="r"><span>最近更改</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:%E9%9A%8F%E6%9C%BA%E9%A1%B5%E9%9D%A2" title="随机载入一个页面[x]" accesskey="x"><span>随机条目</span></a></li> </ul> </div> </div> <div id="p-help" class="vector-menu mw-portlet mw-portlet-help" > <div class="vector-menu-heading"> 帮助 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:%E7%9B%AE%E5%BD%95" title="寻求帮助"><span>帮助</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:%E7%A4%BE%E7%BE%A4%E9%A6%96%E9%A1%B5" title="关于本计划、你可以做什么、应该如何做"><span>维基社群</span></a></li><li id="n-policy" class="mw-list-item"><a href="/wiki/Wikipedia:%E6%96%B9%E9%87%9D%E8%88%87%E6%8C%87%E5%BC%95" title="查看维基百科的方针和指引"><span>方针与指引</span></a></li><li id="n-villagepump" class="mw-list-item"><a href="/wiki/Wikipedia:%E4%BA%92%E5%8A%A9%E5%AE%A2%E6%A0%88" title="参与维基百科社群的讨论"><span>互助客栈</span></a></li><li id="n-Information_desk" class="mw-list-item"><a href="/wiki/Wikipedia:%E7%9F%A5%E8%AF%86%E9%97%AE%E7%AD%94" title="解答任何与维基百科无关的问题的地方"><span>知识问答</span></a></li><li id="n-conversion" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%AD%97%E8%AF%8D%E8%BD%AC%E6%8D%A2" title="提出字词转换请求"><span>字词转换</span></a></li><li id="n-IRC" class="mw-list-item"><a href="/wiki/Wikipedia:IRC%E8%81%8A%E5%A4%A9%E9%A2%91%E9%81%93"><span>IRC即时聊天</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedia:%E8%81%94%E7%BB%9C%E6%88%91%E4%BB%AC" title="如何联络维基百科"><span>联络我们</span></a></li><li id="n-about" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%85%B3%E4%BA%8E" title="查看维基百科的简介"><span>关于维基百科</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Wikipedia:%E9%A6%96%E9%A1%B5" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="维基百科" src="/static/images/mobile/copyright/wikipedia-wordmark-zh.svg" style="width: 6.5625em; height: 1.375em;"> <img class="mw-logo-tagline" alt="自由的百科全书" src="/static/images/mobile/copyright/wikipedia-tagline-zh.svg" width="103" height="14" style="width: 6.4375em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:%E6%90%9C%E7%B4%A2" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="搜索维基百科[f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>搜索</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="搜索维基百科" aria-label="搜索维基百科" autocapitalize="sentences" title="搜索维基百科[f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:搜索"> </div> <button class="cdx-button cdx-search-input__end-button">搜索</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="个人工具"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="外观"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="更改页面字体大小、宽度和颜色的外观" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="外观" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">外观</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=zh-hans" class=""><span>资助维基百科</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="我们推荐您创建账号并登录，但这不是强制性的" class=""><span>创建账号</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="建议你登录，尽管并非必须。[o]" accesskey="o" class=""><span>登录</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="更多选项" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="个人工具" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">个人工具</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="用户菜单" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=zh-hans"><span>资助维基百科</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="我们推荐您创建账号并登录，但这不是强制性的"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>创建账号</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="建议你登录，尽管并非必须。[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>登录</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-歷史" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#歷史"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>歷史</span> </div> </a> <ul id="toc-歷史-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-數值" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#數值"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>數值</span> </div> </a> <ul id="toc-數值-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-重要性" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#重要性"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>重要性</span> </div> </a> <ul id="toc-重要性-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参考文献" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考文献"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>参考文献</span> </div> </a> <ul id="toc-参考文献-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-外部連結" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#外部連結"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>外部連結</span> </div> </a> <ul id="toc-外部連結-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参见" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参见"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>参见</span> </div> </a> <ul id="toc-参见-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">普朗克長度</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往另一种语言写成的文章。51种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-51" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">51种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Longaria_de_Planck" title="Longaria de Planck – 阿拉贡语" lang="an" hreflang="an" data-title="Longaria de Planck" data-language-autonym="Aragonés" data-language-local-name="阿拉贡语" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B7%D9%88%D9%84_%D8%A8%D9%84%D8%A7%D9%86%D9%83" title="طول بلانك – 阿拉伯语" lang="ar" hreflang="ar" data-title="طول بلانك" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%B0%D1%9E%D1%81%D0%BA%D0%B0%D1%8F_%D0%B4%D0%B0%D1%9E%D0%B6%D1%8B%D0%BD%D1%8F" title="Планкаўская даўжыня – 白俄罗斯语" lang="be" hreflang="be" data-title="Планкаўская даўжыня" data-language-autonym="Беларуская" data-language-local-name="白俄罗斯语" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%94%D1%8A%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA" title="Дължина на Планк – 保加利亚语" lang="bg" hreflang="bg" data-title="Дължина на Планк" data-language-autonym="Български" data-language-local-name="保加利亚语" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A7%8D%E0%A6%B2%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%82%E0%A6%95%E0%A7%87%E0%A6%B0_%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF" title="প্ল্যাংকের দৈর্ঘ্য – 孟加拉语" lang="bn" hreflang="bn" data-title="প্ল্যাংকের দৈর্ঘ্য" data-language-autonym="বাংলা" data-language-local-name="孟加拉语" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Planckova_du%C5%BEina" title="Planckova dužina – 波斯尼亚语" lang="bs" hreflang="bs" data-title="Planckova dužina" data-language-autonym="Bosanski" data-language-local-name="波斯尼亚语" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Longitud_de_Planck" title="Longitud de Planck – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Longitud de Planck" data-language-autonym="Català" data-language-local-name="加泰罗尼亚语" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Planckova_d%C3%A9lka" title="Planckova délka – 捷克语" lang="cs" hreflang="cs" data-title="Planckova délka" data-language-autonym="Čeština" data-language-local-name="捷克语" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Planck-l%C3%A6ngde" title="Planck-længde – 丹麦语" lang="da" hreflang="da" data-title="Planck-længde" data-language-autonym="Dansk" data-language-local-name="丹麦语" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Planck-L%C3%A4nge" title="Planck-Länge – 德语" lang="de" hreflang="de" data-title="Planck-Länge" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en badge-Q70893996 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Planck_length" title="Planck length – 英语" lang="en" hreflang="en" data-title="Planck length" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Longo_de_Planck" title="Longo de Planck – 世界语" lang="eo" hreflang="eo" data-title="Longo de Planck" data-language-autonym="Esperanto" data-language-local-name="世界语" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Longitud_de_Planck" title="Longitud de Planck – 西班牙语" lang="es" hreflang="es" data-title="Longitud de Planck" data-language-autonym="Español" data-language-local-name="西班牙语" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Plancki_pikkus" title="Plancki pikkus – 爱沙尼亚语" lang="et" hreflang="et" data-title="Plancki pikkus" data-language-autonym="Eesti" data-language-local-name="爱沙尼亚语" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Planck_luzera" title="Planck luzera – 巴斯克语" lang="eu" hreflang="eu" data-title="Planck luzera" data-language-autonym="Euskara" data-language-local-name="巴斯克语" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B7%D9%88%D9%84_%D9%BE%D9%84%D8%A7%D9%86%DA%A9" title="طول پلانک – 波斯语" lang="fa" hreflang="fa" data-title="طول پلانک" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Planckin_pituus" title="Planckin pituus – 芬兰语" lang="fi" hreflang="fi" data-title="Planckin pituus" data-language-autonym="Suomi" data-language-local-name="芬兰语" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Longueur_de_Planck" title="Longueur de Planck – 法语" lang="fr" hreflang="fr" data-title="Longueur de Planck" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Fad_Planck" title="Fad Planck – 爱尔兰语" lang="ga" hreflang="ga" data-title="Fad Planck" data-language-autonym="Gaeilge" data-language-local-name="爱尔兰语" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%95%D7%A8%D7%9A_%D7%A4%D7%9C%D7%90%D7%A0%D7%A7" title="אורך פלאנק – 希伯来语" lang="he" hreflang="he" data-title="אורך פלאנק" data-language-autonym="עברית" data-language-local-name="希伯来语" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Planckova_duljina" title="Planckova duljina – 克罗地亚语" lang="hr" hreflang="hr" data-title="Planckova duljina" data-language-autonym="Hrvatski" data-language-local-name="克罗地亚语" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Planck-hossz" title="Planck-hossz – 匈牙利语" lang="hu" hreflang="hu" data-title="Planck-hossz" data-language-autonym="Magyar" data-language-local-name="匈牙利语" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%AC%D5%A1%D5%B6%D5%AF%D5%AB_%D5%A5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Պլանկի երկարություն – 亚美尼亚语" lang="hy" hreflang="hy" data-title="Պլանկի երկարություն" data-language-autonym="Հայերեն" data-language-local-name="亚美尼亚语" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Panjang_Planck" title="Panjang Planck – 印度尼西亚语" lang="id" hreflang="id" data-title="Panjang Planck" data-language-autonym="Bahasa Indonesia" data-language-local-name="印度尼西亚语" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Lunghezza_di_Planck" title="Lunghezza di Planck – 意大利语" lang="it" hreflang="it" data-title="Lunghezza di Planck" data-language-autonym="Italiano" data-language-local-name="意大利语" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%97%E3%83%A9%E3%83%B3%E3%82%AF%E9%95%B7" title="プランク長 – 日语" lang="ja" hreflang="ja" data-title="プランク長" data-language-autonym="日本語" data-language-local-name="日语" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%8C%EB%9E%91%ED%81%AC_%EA%B8%B8%EC%9D%B4" title="플랑크 길이 – 韩语" lang="ko" hreflang="ko" data-title="플랑크 길이" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Longitudo_Planckiana" title="Longitudo Planckiana – 拉丁语" lang="la" hreflang="la" data-title="Longitudo Planckiana" data-language-autonym="Latina" data-language-local-name="拉丁语" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Planko_ilgis" title="Planko ilgis – 立陶宛语" lang="lt" hreflang="lt" data-title="Planko ilgis" data-language-autonym="Lietuvių" data-language-local-name="立陶宛语" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%BE%D0%B2%D0%B0_%D0%B4%D0%BE%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0" title="Планкова должина – 马其顿语" lang="mk" hreflang="mk" data-title="Планкова должина" data-language-autonym="Македонски" data-language-local-name="马其顿语" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Panjang_Planck" title="Panjang Planck – 马来语" lang="ms" hreflang="ms" data-title="Panjang Planck" data-language-autonym="Bahasa Melayu" data-language-local-name="马来语" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Plancklengte" title="Plancklengte – 荷兰语" lang="nl" hreflang="nl" data-title="Plancklengte" data-language-autonym="Nederlands" data-language-local-name="荷兰语" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A8%B2%E0%A9%88%E0%A8%82%E0%A8%95_%E0%A8%B2%E0%A9%B0%E0%A8%AC%E0%A8%BE%E0%A8%88" title="ਪਲੈਂਕ ਲੰਬਾਈ – 旁遮普语" lang="pa" hreflang="pa" data-title="ਪਲੈਂਕ ਲੰਬਾਈ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="旁遮普语" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/D%C5%82ugo%C5%9B%C4%87_Plancka" title="Długość Plancka – 波兰语" lang="pl" hreflang="pl" data-title="Długość Plancka" data-language-autonym="Polski" data-language-local-name="波兰语" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%BE%D9%84%D8%A7%D9%86%DA%A9_%D9%84%D9%85%D8%A8%D8%A7%D8%A6%DB%8C" title="پلانک لمبائی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="پلانک لمبائی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Comprimento_de_Planck" title="Comprimento de Planck – 葡萄牙语" lang="pt" hreflang="pt" data-title="Comprimento de Planck" data-language-autonym="Português" data-language-local-name="葡萄牙语" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Lungime_Planck" title="Lungime Planck – 罗马尼亚语" lang="ro" hreflang="ro" data-title="Lungime Planck" data-language-autonym="Română" data-language-local-name="罗马尼亚语" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%B0%D1%8F_%D0%B4%D0%BB%D0%B8%D0%BD%D0%B0" title="Планковская длина – 俄语" lang="ru" hreflang="ru" data-title="Планковская длина" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Lunchizza_di_Planck" title="Lunchizza di Planck – 西西里语" lang="scn" hreflang="scn" data-title="Lunchizza di Planck" data-language-autonym="Sicilianu" data-language-local-name="西西里语" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Planckova_duljina" title="Planckova duljina – 塞尔维亚-克罗地亚语" lang="sh" hreflang="sh" data-title="Planckova duljina" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="塞尔维亚-克罗地亚语" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B4%E0%B7%8A%E0%B6%BD%E0%B7%8F%E0%B6%B1%E0%B7%8A%E0%B6%9A%E0%B7%8A_%E0%B6%AF%E0%B7%96%E0%B6%BB%E0%B6%9A%E0%B6%BA" title="ප්ලාන්ක් දූරකය – 僧伽罗语" lang="si" hreflang="si" data-title="ප්ලාන්ක් දූරකය" data-language-autonym="සිංහල" data-language-local-name="僧伽罗语" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Planck_length" title="Planck length – Simple English" lang="en-simple" hreflang="en-simple" data-title="Planck length" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Planckova_d%C4%BA%C5%BEka" title="Planckova dĺžka – 斯洛伐克语" lang="sk" hreflang="sk" data-title="Planckova dĺžka" data-language-autonym="Slovenčina" data-language-local-name="斯洛伐克语" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Planckova_dol%C5%BEina" title="Planckova dolžina – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Planckova dolžina" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%BE%D0%B2%D0%B0_%D0%B4%D1%83%D0%B6%D0%B8%D0%BD%D0%B0" title="Планкова дужина – 塞尔维亚语" lang="sr" hreflang="sr" data-title="Планкова дужина" data-language-autonym="Српски / srpski" data-language-local-name="塞尔维亚语" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Planckl%C3%A4ngd" title="Plancklängd – 瑞典语" lang="sv" hreflang="sv" data-title="Plancklängd" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BF%E0%AE%B3%E0%AE%BE%E0%AE%99%E0%AF%8D%E0%AE%95%E0%AF%8D_%E0%AE%A8%E0%AF%80%E0%AE%B3%E0%AE%AE%E0%AF%8D" title="பிளாங்க் நீளம் – 泰米尔语" lang="ta" hreflang="ta" data-title="பிளாங்க் நீளம்" data-language-autonym="தமிழ்" data-language-local-name="泰米尔语" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Planck_uzunlu%C4%9Fu" title="Planck uzunluğu – 土耳其语" lang="tr" hreflang="tr" data-title="Planck uzunluğu" data-language-autonym="Türkçe" data-language-local-name="土耳其语" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/Plank_oz%C4%B1nl%C4%B1%C4%9F%C4%B1" title="Plank ozınlığı – 鞑靼语" lang="tt" hreflang="tt" data-title="Plank ozınlığı" data-language-autonym="Татарча / tatarça" data-language-local-name="鞑靼语" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D1%96%D0%B2%D1%81%D1%8C%D0%BA%D0%B0_%D0%B4%D0%BE%D0%B2%D0%B6%D0%B8%D0%BD%D0%B0" title="Планківська довжина – 乌克兰语" lang="uk" hreflang="uk" data-title="Планківська довжина" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99_d%C3%A0i_Planck" title="Độ dài Planck – 越南语" lang="vi" hreflang="vi" data-title="Độ dài Planck" data-language-autonym="Tiếng Việt" data-language-local-name="越南语" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q207387#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="浏览条目正文[c]" accesskey="c"><span>条目</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" rel="discussion" title="关于此页面的讨论[t]" accesskey="t"><span>讨论</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="更改语言变体" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">不转换</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-varlang-0" class="selected ca-variants-zh mw-list-item"><a href="/zh/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh" hreflang="zh"><span>不转换</span></a></li><li id="ca-varlang-1" class="ca-variants-zh-Hans mw-list-item"><a href="/zh-hans/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hans" hreflang="zh-Hans"><span>简体</span></a></li><li id="ca-varlang-2" class="ca-variants-zh-Hant mw-list-item"><a href="/zh-hant/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hant" hreflang="zh-Hant"><span>繁體</span></a></li><li id="ca-varlang-3" class="ca-variants-zh-Hans-CN mw-list-item"><a href="/zh-cn/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hans-CN" hreflang="zh-Hans-CN"><span>大陆简体</span></a></li><li id="ca-varlang-4" class="ca-variants-zh-Hant-HK mw-list-item"><a href="/zh-hk/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hant-HK" hreflang="zh-Hant-HK"><span>香港繁體</span></a></li><li id="ca-varlang-5" class="ca-variants-zh-Hant-MO mw-list-item"><a href="/zh-mo/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hant-MO" hreflang="zh-Hant-MO"><span>澳門繁體</span></a></li><li id="ca-varlang-6" class="ca-variants-zh-Hans-MY mw-list-item"><a href="/zh-my/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hans-MY" hreflang="zh-Hans-MY"><span>大马简体</span></a></li><li id="ca-varlang-7" class="ca-variants-zh-Hans-SG mw-list-item"><a href="/zh-sg/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hans-SG" hreflang="zh-Hans-SG"><span>新加坡简体</span></a></li><li id="ca-varlang-8" class="ca-variants-zh-Hant-TW mw-list-item"><a href="/zh-tw/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" lang="zh-Hant-TW" hreflang="zh-Hant-TW"><span>臺灣正體</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="查看"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"><span>阅读</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=history" title="本页面的早前版本。[h]" accesskey="h"><span>查看历史</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="工具" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">工具</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">隐藏</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="更多选项" > <div class="vector-menu-heading"> 操作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6"><span>阅读</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=history"><span>查看历史</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> 常规 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%85%A5%E9%A1%B5%E9%9D%A2/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="列出所有与本页相链的页面[j]" accesskey="j"><span>链入页面</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%87%BA%E6%9B%B4%E6%94%B9/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" rel="nofollow" title="页面链出所有页面的更改[k]" accesskey="k"><span>相关更改</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Project:%E4%B8%8A%E4%BC%A0" title="上传图像或多媒体文件[u]" accesskey="u"><span>上传文件</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:%E7%89%B9%E6%AE%8A%E9%A1%B5%E9%9D%A2" title="全部特殊页面的列表[q]" accesskey="q"><span>特殊页面</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&oldid=80264953" title="此页面该修订版本的固定链接"><span>固定链接</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=info" title="关于此页面的更多信息"><span>页面信息</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:%E5%BC%95%E7%94%A8%E6%AD%A4%E9%A1%B5%E9%9D%A2&page=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&id=80264953&wpFormIdentifier=titleform" title="有关如何引用此页面的信息"><span>引用此页</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:URL%E7%BC%A9%E7%9F%AD%E7%A8%8B%E5%BA%8F&url=https%3A%2F%2Fzh.wikipedia.org%2Fwiki%2F%25E6%2599%25AE%25E6%259C%2597%25E5%2585%258B%25E9%2595%25B7%25E5%25BA%25A6"><span>获取短链接</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fzh.wikipedia.org%2Fwiki%2F%25E6%2599%25AE%25E6%259C%2597%25E5%2585%258B%25E9%2595%25B7%25E5%25BA%25A6"><span>下载二维码</span></a></li> </ul> </div> </div> <div id="p-electronpdfservice-sidebar-portlet-heading" class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading" > <div class="vector-menu-heading"> 打印/导出 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=show-download-screen"><span>下载为PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="本页面的可打印版本[p]" accesskey="p"><span>打印页面</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> 在其他项目中 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q207387" title="链接到连接的数据仓库项目[g]" accesskey="g"><span>维基数据项目</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="外观"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">外观</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">隐藏</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">维基百科，自由的百科全书</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="zh" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r84596247">.mw-parser-output .multiple-issues-text{width:95%;margin:0.2em 0}.mw-parser-output .multiple-issues-text>.mw-collapsible-content{margin-top:0.3em}.mw-parser-output .compact-ambox .ambox{border:none;border-collapse:collapse;background-color:transparent;margin:0 0 0 1.6em!important;padding:0!important;width:auto;display:block}body.mediawiki .mw-parser-output .compact-ambox .ambox.mbox-small-left{font-size:100%;width:auto;margin:0}.mw-parser-output .compact-ambox .ambox .mbox-text{padding:0!important;margin:0!important}.mw-parser-output .compact-ambox .ambox .mbox-text-span{display:list-item;line-height:1.5em;list-style-type:disc}body.skin-minerva .mw-parser-output .multiple-issues-text>.mw-collapsible-toggle,.mw-parser-output .compact-ambox .ambox .mbox-image,.mw-parser-output .compact-ambox .ambox .mbox-imageright,.mw-parser-output .compact-ambox .ambox .mbox-empty-cell{display:none}</style><style data-mw-deduplicate="TemplateStyles:r83732972">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}html.client-js body.skin-minerva .mw-parser-output .mbox-text-span{margin-left:23px!important}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .ambox{border-left-color:#36c!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-speedy,html.skin-theme-clientpref-night .mw-parser-output .ambox-delete{border-left-color:#b32424!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-speedy{background-color:#300!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-content{border-left-color:#f28500!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-style{border-left-color:#fc3!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-move{border-left-color:#9932cc!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-protection{border-left-color:#a2a9b1!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .ambox{border-left-color:#36c!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-speedy,html.skin-theme-clientpref-os .mw-parser-output .ambox-delete{border-left-color:#b32424!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-speedy{background-color:#300!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-content{border-left-color:#f28500!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-style{border-left-color:#fc3!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-move{border-left-color:#9932cc!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-protection{border-left-color:#a2a9b1!important}}</style><table class="box-问题条目 plainlinks metadata ambox ambox-content ambox-multiple_issues compact-ambox" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/40px-Ambox_important.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/60px-Ambox_important.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/80px-Ambox_important.svg.png 2x" data-file-width="40" data-file-height="40" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span"><div class="multiple-issues-text mw-collapsible"><b>本條目存在以下問題</b>，請協助<b><a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit">改善本條目</a></b>或在<b><a href="/wiki/Talk:%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="Talk:普朗克長度">討論頁</a></b>針對議題發表看法。 <div class="mw-collapsible-content"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Refimprove plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><a href="/wiki/File:Tango-nosources.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/45px-Tango-nosources.svg.png" decoding="async" width="45" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/68px-Tango-nosources.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/90px-Tango-nosources.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>需要补充更多<a href="/wiki/Wikipedia:%E5%88%97%E6%98%8E%E6%9D%A5%E6%BA%90" title="Wikipedia:列明来源">来源</a></b>。<span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2022年10月20日</span>)</i></small><span class="hide-when-compact"><br /><small>请协助補充多方面<a href="/wiki/Wikipedia:%E5%8F%AF%E9%9D%A0%E6%9D%A5%E6%BA%90" title="Wikipedia:可靠来源">可靠来源</a>以<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit">改善这篇条目</a>，<a href="/wiki/Wikipedia:%E5%8F%AF%E4%BE%9B%E6%9F%A5%E8%AF%81" class="mw-redirect" title="Wikipedia:可供查证">无法查证</a>的内容可能會因為<a href="/wiki/Template:Fact" class="mw-redirect" title="Template:Fact">异议提出</a>而被移除。<br />致使用者：请搜索一下条目的标题（来源搜索：<span class="plainlinks"><a rel="nofollow" class="external text" href="//www.google.com/search?&as_eq=wikipedia&q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">"普朗克長度"</a> — <a rel="nofollow" class="external text" href="//www.google.com/search?q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">网页</a>、<a rel="nofollow" class="external text" href="//www.google.com/search?tbm=nws&q=&as_src=-newswire+-wire+-presswire+-PR+-press+-release+-wikipedia&q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">新闻</a>、<a rel="nofollow" class="external text" href="//books.google.com/books?&as_brr=0&as_pub=-icon&q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">书籍</a>、<a rel="nofollow" class="external text" href="//scholar.google.com/scholar?&q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">学术</a>、<a rel="nofollow" class="external text" href="//www.google.com/search?tbm=isch&safe=off&q=%22%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6%22">图像</a></span>），以检查网络上是否存在该主题的更多可靠来源（<a href="/wiki/Wikipedia:%E5%8F%AF%E9%9D%A0%E6%9D%A5%E6%BA%90" title="Wikipedia:可靠来源">判定指引</a>）。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Expand_language plainlinks metadata ambox ambox-notice" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span class="skin-invert" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/50px-Translation_to_zh_arrow.svg.png" decoding="async" width="50" height="17" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/75px-Translation_to_zh_arrow.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/100px-Translation_to_zh_arrow.svg.png 2x" data-file-width="60" data-file-height="20" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>可参照<a href="https://en.wikipedia.org/wiki/Planck_length" class="extiw" title="en:Planck length">英語維基百科</a>相應條目来扩充</b>。<span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2022年10月20日</span>)</i></small><span class="hide-when-compact"><br /><small>若您熟悉来源语言和主题，请协助<a href="/wiki/Wikipedia:%E7%BF%BB%E8%AF%91%E5%AE%88%E5%88%99" class="mw-redirect" title="Wikipedia:翻译守则">参考外语维基百科扩充条目</a>。请勿直接提交机械翻译，也不要翻译不可靠、低品质内容。依<a href="/wiki/Wikipedia:%E5%9C%A8%E7%BB%B4%E5%9F%BA%E7%99%BE%E7%A7%91%E5%86%85%E5%A4%8D%E5%88%B6%E5%86%85%E5%AE%B9" title="Wikipedia:在维基百科内复制内容">版权协议</a>，译文需<a href="/wiki/Wikipedia:%E7%B7%A8%E8%BC%AF%E6%91%98%E8%A6%81#翻譯文章" title="Wikipedia:編輯摘要">在编辑摘要注明来源</a>，或于讨论页顶部标记<code>{{<a href="/wiki/Template:Translated_page" title="Template:Translated page">Translated page</a>}}</code>标签。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Expert_needed plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/40px-Ambox_important.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/60px-Ambox_important.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/80px-Ambox_important.svg.png 2x" data-file-width="40" data-file-height="40" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目需要<b>精通或熟悉<a href="/wiki/%E9%87%8F%E5%AD%90%E7%89%A9%E7%90%86" class="mw-redirect" title="量子物理">量子物理</a>的编者</b>参与及协助编辑。<span class="hide-when-compact"></span><span class="hide-when-compact"><br /><small>請<a href="/wiki/Wikipedia:%E5%B0%88%E5%AE%B6%E9%82%80%E8%AB%8B%E5%B7%A5%E4%BD%9C%E5%B0%8F%E7%B5%84" title="Wikipedia:專家邀請工作小組">邀請</a>適合的人士<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit">改善本条目</a>。更多的細節與詳情請參见<a href="/wiki/Talk:%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6" title="Talk:普朗克長度">討論頁</a>。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> </div></div><span class="hide-when-compact"></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Max_planck.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Max_planck.jpg/200px-Max_planck.jpg" decoding="async" width="200" height="297" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/d/d7/Max_planck.jpg 1.5x" data-file-width="236" data-file-height="351" /></a><figcaption>馬克斯·普朗克</figcaption></figure> <p><b>普朗克長度</b>是<a href="/wiki/%E9%95%B7%E5%BA%A6" class="mw-redirect" title="長度">長度</a>的<a href="/wiki/%E8%87%AA%E7%84%B6%E5%96%AE%E4%BD%8D" class="mw-redirect" title="自然單位">自然單位</a>，以<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ell _{P}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ℓ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ell _{P}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b304f8ef74bf400d65fcbdd0655d47f190c43c9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.436ex; height:2.509ex;" alt="{\displaystyle \ell _{P}}"></span>作為標記。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="歷史"><span id=".E6.AD.B7.E5.8F.B2"></span>歷史</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=1" title="编辑章节：歷史"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>這項單位首先由<a href="/wiki/%E5%BE%B7%E5%9C%8B" class="mw-redirect" title="德國">德國</a>物理學家<a href="/wiki/%E9%A6%AC%E5%85%8B%E6%96%AF%C2%B7%E6%99%AE%E6%9C%97%E5%85%8B" class="mw-redirect" title="馬克斯·普朗克">馬克斯·普朗克</a>所提出，他希望建構出一套測量系統是依照這些自然單位來施行的。其中的基礎是建在<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%B3%AA%E9%87%8F" title="普朗克質量">普朗克質量</a>上。雖然<a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" class="mw-redirect" title="量子力學">量子力學</a>和<a href="/wiki/%E5%BB%A3%E7%BE%A9%E7%9B%B8%E5%B0%8D%E8%AB%96" title="廣義相對論">廣義相對論</a>在提出這些單位的當時尚未出現，隨後得知：在普朗克長度的距離範圍，<a href="/wiki/%E9%87%8D%E5%8A%9B" class="mw-redirect" title="重力">重力</a>預期開始會展現<a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" class="mw-redirect" title="量子力學">量子效應</a>，進而要求一套<a href="/wiki/%E9%87%8F%E5%AD%90%E9%87%8D%E5%8A%9B" class="mw-redirect" title="量子重力">量子重力</a>理論來預測所會發生的物理事件。 </p> <div class="mw-heading mw-heading2"><h2 id="數值"><span id=".E6.95.B8.E5.80.BC"></span>數值</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=2" title="编辑章节：數值"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>忽略掉一些因子，例如<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff0831f5ce22f8358436ea655ec0d0ef2534e1d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.882ex; height:2.176ex;" alt="{\displaystyle 2\pi \,}"></span>及其他，<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%B3%AA%E9%87%8F" title="普朗克質量">普朗克質量</a>是一項質量值，依其大小來計算對應的長度<a href="/wiki/%E7%89%A9%E7%90%86%E9%87%8F" title="物理量">物理量</a>，可以得到「其<a href="/wiki/%E5%8F%B2%E7%93%A6%E8%A5%BF%E5%8D%8A%E5%BE%91" title="史瓦西半徑">史瓦西半徑</a>與其<a href="/wiki/%E5%BA%B7%E6%99%AE%E9%A0%93%E6%B3%A2%E9%95%B7" title="康普頓波長">康普頓波長</a>相當」的結論，而這樣的長度則稱為<b>普朗克長度</b>，即： </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}\cong 1.616229(38)\times 10^{-35}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ℓ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mi class="MJX-variant">ℏ</mi> <mi>G</mi> </mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </msqrt> </mrow> <mo>≅</mo> <mn>1.616229</mn> <mo stretchy="false">(</mo> <mn>38</mn> <mo stretchy="false">)</mo> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>35</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}\cong 1.616229(38)\times 10^{-35}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19e4711d087df36a204885ed037cd23cbeb7170f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:36.164ex; height:6.343ex;" alt="{\displaystyle \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}\cong 1.616229(38)\times 10^{-35}}"></span><a href="/wiki/%E5%85%AC%E5%B0%BA" class="mw-redirect" title="公尺">公尺</a></dd></dl> <p>其中 </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar ={\frac {h}{2\pi }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mrow> <mn>2</mn> <mi>π</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar ={\frac {h}{2\pi }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df05180652a87fe1af83af4bba3402117bd18466" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.736ex; height:5.343ex;" alt="{\displaystyle \hbar ={\frac {h}{2\pi }}}"></span>是<a href="/wiki/%E7%BA%A6%E5%8C%96%E6%99%AE%E6%9C%97%E5%85%8B%E5%B8%B8%E6%95%B0" class="mw-redirect" title="约化普朗克常数">約化普朗克常數</a>或稱<a href="/wiki/%E7%8B%84%E6%8B%89%E5%85%8B%E5%B8%B8%E6%95%B8" class="mw-redirect" title="狄拉克常數">狄拉克常數</a>；</li></ul> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1f6c4d01b8be460cde4156d1fde6af720f8ff12" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.214ex; height:2.176ex;" alt="{\displaystyle G\,}"></span>是<a href="/wiki/%E9%87%8D%E5%8A%9B%E5%B8%B8%E6%95%B8" class="mw-redirect" title="重力常數">重力常數</a>；</li></ul> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8573e7d95140b0d4068258d8162e189563baee6b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.394ex; height:1.676ex;" alt="{\displaystyle c\,}"></span>是<a href="/wiki/%E7%9C%9F%E7%A9%BA" title="真空">真空</a>中<a href="/wiki/%E5%85%89%E9%80%9F" title="光速">光速</a>。</li></ul> <ul><li><a href="/wiki/%E6%8B%AC%E8%99%9F" class="mw-redirect" title="括號">括號</a>內的兩位數為最後兩位<a href="/wiki/%E4%B8%8D%E7%A1%AE%E5%AE%9A%E5%BA%A6" class="mw-redirect" title="不确定度">不確定度</a>。</li></ul> <p>依照普朗克長度這項單位，目前可觀測的<a href="/wiki/%E5%AE%87%E5%AE%99" title="宇宙">宇宙</a>的直徑估計值（直徑約930億<a href="/wiki/%E5%85%89%E5%B9%B4" title="光年">光年</a>，即8.8 × 10<sup>26</sup> <a href="/wiki/%E5%85%AC%E5%B0%BA" class="mw-redirect" title="公尺">公尺</a>）即為5.4 × 10<sup>61</sup>倍普朗克長度。<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>，而<a href="/wiki/%E5%8F%AF%E8%A7%80%E6%B8%AC%E5%AE%87%E5%AE%99" title="可觀測宇宙">可觀測宇宙</a><a href="/wiki/%E9%AB%94%E7%A9%8D" class="mw-redirect" title="體積">體積</a>則為8.4 × 10<sup>184</sup>立方普朗克長度（<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E4%BD%93%E7%A7%AF" class="mw-redirect" title="普朗克体积">普朗克體積</a>）。 <sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="重要性"><span id=".E9.87.8D.E8.A6.81.E6.80.A7"></span>重要性</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=3" title="编辑章节：重要性"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>忽略掉<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff0831f5ce22f8358436ea655ec0d0ef2534e1d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.882ex; height:2.176ex;" alt="{\displaystyle 2\pi \,}"></span>等等的因子，<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%B3%AA%E9%87%8F" title="普朗克質量">普朗克質量</a>的意義大約是一個<a href="/wiki/%E5%8F%B2%E7%93%A6%E8%A5%BF%E5%8D%8A%E5%BE%91" title="史瓦西半徑">史瓦西半徑</a>等同於<a href="/wiki/%E5%BA%B7%E6%99%AE%E9%A0%93%E6%B3%A2%E9%95%B7" title="康普頓波長">康普頓波長</a>的<a href="/wiki/%E9%BB%91%E6%B4%9E" title="黑洞">黑洞</a>所帶有的質量。這黑洞的半徑大約是普朗克長度。 </p><p>透過<a href="/wiki/%E6%80%9D%E6%83%B3%E5%AF%A6%E9%A9%97" title="思想實驗">思想實驗</a>闡明：想像要測量一個物體的位置，我們得用照在其上的光所得的反射。如果對它的位置要測到很高的精確度，我們必須用更短波長的光子，如此表示這些光子的能量會更高。如果這能量高到一個程度，原則上它們撞到物體時可以產生黑洞。這個黑洞可以「吞噬掉」光子而讓實驗失敗。通過簡單的<a href="/wiki/%E9%87%8F%E7%B6%B1%E5%88%86%E6%9E%90" class="mw-redirect" title="量綱分析">量綱分析</a>計算可發現當測量物體位置的精準度達到普朗克長度以下，便會發生上述的問題。 </p><p>這個思想實驗涉及到了<a href="/wiki/%E5%BB%A3%E7%BE%A9%E7%9B%B8%E5%B0%8D%E8%AB%96" title="廣義相對論">廣義相對論</a>與<a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" class="mw-redirect" title="量子力學">量子力學</a>（主要指<a href="/wiki/%E6%B2%83%E7%B4%8D%C2%B7%E6%B5%B7%E6%A3%AE%E5%A0%A1" class="mw-redirect" title="沃納·海森堡">海森堡</a><a href="/wiki/%E4%B8%8D%E7%A1%AE%E5%AE%9A%E5%8E%9F%E7%90%86" class="mw-redirect" title="不确定原理">不確定原理</a>），即是說結合了兩個理論來看，我們無法對位置做出比普朗克長度還要小、還要精確的測量。因此，在任何結合廣義相對論與量子力學的<a href="/wiki/%E9%87%8F%E5%AD%90%E9%87%8D%E5%8A%9B" class="mw-redirect" title="量子重力">量子重力</a>理論中，若在時間短於<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E6%99%82%E9%96%93" title="普朗克時間">普朗克時間</a>、距離小於普朗克長度的尺度下，我們傳統上對時間、空間的標示將會全盤瓦解。 </p><p>然而事實上，我們並不真正知道在我們要測量得比普朗克長度還要精準時所發生的事情，我們也從未見過<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%B3%AA%E9%87%8F" title="普朗克質量">普朗克質量</a>的黑洞。所以更保守地講，上述的思想實驗僅僅顯示：當我們研究尺度接近普朗克長度時，我們要小心地思考該如何結合廣義相對論與量子力學，這可以說是<a href="/wiki/%E9%87%8F%E5%AD%90%E9%87%8D%E5%8A%9B" class="mw-redirect" title="量子重力">量子重力</a>研究者的任務。如果因此出現新的物理學理論，它甚至可能對比普朗克尺度還大的距離尺度下的現象做出不一樣的描述。<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="参考文献"><span id=".E5.8F.82.E8.80.83.E6.96.87.E7.8C.AE"></span>参考文献</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=4" title="编辑章节：参考文献"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Google Calculator : 93 billion light years in planck length </span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">根據球體的體積公式 : 4/3 * Pi * r^3 計算。可參考 Google Calculator : 4/3*pi*((93 billion /2)^3) cubic light year in cubic planck length </span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">克雷格·卡伦德尼克·赫盖特《物理与哲学相遇在普朗克标度》，湖南科学技术出版社</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="外部連結"><span id=".E5.A4.96.E9.83.A8.E9.80.A3.E7.B5.90"></span>外部連結</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=5" title="编辑章节：外部連結"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="英語">（英文）</span><a rel="nofollow" class="external text" href="https://web.archive.org/web/19961110050634/http://math.ucr.edu/home/baez/lengths.html#planck_length">物理中的長度大小—普朗克長度</a></li> <li><span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="英語">（英文）</span><a rel="nofollow" class="external text" href="http://math.ucr.edu/home/baez/planck/node2.html">普朗克長度</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20170701133804/http://math.ucr.edu/home/baez/planck/node2.html">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li></ul> <div class="mw-heading mw-heading2"><h2 id="参见"><span id=".E5.8F.82.E8.A7.81"></span>参见</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&action=edit&section=6" title="编辑章节：参见"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E9%87%8F%E5%AD%90%E9%87%8D%E5%8A%9B" class="mw-redirect" title="量子重力">量子重力</a></li> <li><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E6%99%82%E9%96%93" title="普朗克時間">普朗克時間</a></li></ul> <div style="clear: both; height: 1em"></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r84265675">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:" :"}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist-pipe dd::after,.mw-parser-output .hlist-pipe li::after{content:" | ";font-weight:normal}.mw-parser-output .hlist-hyphen dd::after,.mw-parser-output .hlist-hyphen li::after{content:" - ";font-weight:normal}.mw-parser-output .hlist-comma dd::after,.mw-parser-output .hlist-comma li::after{content:"、";font-weight:normal}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:"（"counter(listitem)"\a0 "}.mw-parser-output ul.cslist,.mw-parser-output ul.sslist{margin:0;padding:0;display:inline-block;list-style:none}.mw-parser-output .cslist li,.mw-parser-output .sslist li{margin:0;display:inline-block}.mw-parser-output .cslist li::after{content:"，"}.mw-parser-output .sslist li::after{content:"；"}.mw-parser-output .cslist li:last-child::after,.mw-parser-output .sslist li:last-child::after{content:none}</style><style data-mw-deduplicate="TemplateStyles:r84261037">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf;position:relative}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em;width:auto;padding-left:0.2em;position:absolute;left:1em}.mw-parser-output .navbox .mw-collapsible-toggle{margin-left:0.5em;position:absolute;right:1em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="普朗克單位制" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><style data-mw-deduplicate="TemplateStyles:r84244141">.mw-parser-output .navbar{display:inline;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:110%;margin:0 8em}.mw-parser-output .navbar-ct-mini{font-size:110%;margin:0 5em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:%E6%99%AE%E6%9C%97%E5%85%8B%E5%96%AE%E4%BD%8D" title="Template:普朗克單位"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:%E6%99%AE%E6%9C%97%E5%85%8B%E5%96%AE%E4%BD%8D" title="Template talk:普朗克單位"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:%E6%99%AE%E6%9C%97%E5%85%8B%E5%96%AE%E4%BD%8D" title="Special:编辑页面/Template:普朗克單位"><abbr title="编辑该模板">编</abbr></a></li></ul></div><div id="普朗克單位制" style="font-size:110%;margin:0 5em"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%96%AE%E4%BD%8D%E5%88%B6" title="普朗克單位制">普朗克單位制</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">基本單位</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E6%99%82%E9%96%93" title="普朗克時間">普朗克時間</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a class="mw-selflink selflink">普朗克長度</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%B3%AA%E9%87%8F" title="普朗克質量">普朗克質量</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%9B%BB%E8%8D%B7" title="普朗克電荷">普朗克電荷</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E6%BA%AB%E5%BA%A6" title="普朗克溫度">普朗克溫度</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%B8%B8%E6%95%B0" title="普朗克常数">普朗克常数</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">衍生單位</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E8%83%BD%E9%87%8F" title="普朗克能量">普朗克能量</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%8A%9B" title="普朗克力">普朗克力</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%8B%95%E9%87%8F" title="普朗克動量">普朗克動量</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%8A%9F%E7%8E%87" title="普朗克功率">普朗克功率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%AF%86%E5%BA%A6" title="普朗克密度">普朗克密度</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E8%A7%92%E9%A0%BB%E7%8E%87&action=edit&redlink=1" class="new" title="普朗克角頻率（页面不存在）">普朗克角頻率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E5%A3%93%E5%8A%9B&action=edit&redlink=1" class="new" title="普朗克壓力（页面不存在）">普朗克壓力</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%9B%BB%E6%B5%81&action=edit&redlink=1" class="new" title="普朗克電流（页面不存在）">普朗克電流</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%9B%BB%E5%A3%93&action=edit&redlink=1" class="new" title="普朗克電壓（页面不存在）">普朗克電壓</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E9%98%BB%E6%8A%97" class="mw-redirect" title="普朗克阻抗">普朗克阻抗</a></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84261037"></div><div role="navigation" class="navbox" aria-labelledby="以人名命名的常数" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84244141"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:%E4%BB%A5%E4%BA%BA%E5%90%8D%E5%91%BD%E5%90%8D%E7%9A%84%E5%B8%B8%E6%95%B0" title="Template:以人名命名的常数"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=Template_talk:%E4%BB%A5%E4%BA%BA%E5%90%8D%E5%91%BD%E5%90%8D%E7%9A%84%E5%B8%B8%E6%95%B0&action=edit&redlink=1" class="new" title="Template talk:以人名命名的常数（页面不存在）"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:%E4%BB%A5%E4%BA%BA%E5%90%8D%E5%91%BD%E5%90%8D%E7%9A%84%E5%B8%B8%E6%95%B0" title="Special:编辑页面/Template:以人名命名的常数"><abbr title="编辑该模板">编</abbr></a></li></ul></div><div id="以人名命名的常数" style="font-size:110%;margin:0 5em"><a href="/wiki/%E4%BB%A5%E4%BA%BA%E5%90%8D%E5%91%BD%E5%90%8D%E7%9A%84%E5%B8%B8%E6%95%B8" title="以人名命名的常數">以人名命名的</a><a href="/wiki/%E5%B8%B8%E6%95%B0" title="常数">常数</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E7%89%A9%E7%90%86%E5%B8%B8%E6%95%B8" title="物理常數">物理常數</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E8%89%BE%E8%90%A8%E5%85%8B%C2%B7%E7%89%9B%E9%A1%BF" title="艾萨克·牛顿">艾萨克·牛顿</a>（<a href="/wiki/%E4%B8%87%E6%9C%89%E5%BC%95%E5%8A%9B%E5%B8%B8%E6%95%B0" title="万有引力常数">万有引力常数</a>）　<a href="/wiki/%E5%A4%8F%E5%B0%94%C2%B7%E5%BA%93%E4%BB%91" title="夏尔·库仑">夏尔·奥古斯丁·库仑</a>（<a href="/wiki/%E5%BA%93%E4%BB%91%E5%B8%B8%E6%95%B0" class="mw-redirect" title="库仑常数">库仑常数</a>）　<a href="/wiki/%E9%98%BF%E8%8E%AB%E8%BF%AA%E6%AC%A7%C2%B7%E9%98%BF%E4%BC%8F%E4%BC%BD%E5%BE%B7%E7%BD%97" class="mw-redirect" title="阿莫迪欧·阿伏伽德罗">阿莫迪欧·阿伏伽德罗</a>（<a href="/wiki/%E9%98%BF%E4%BC%8F%E4%BC%BD%E5%BE%B7%E7%BD%97%E5%B8%B8%E6%95%B0" title="阿伏伽德罗常数">阿伏伽德罗常数</a>）　<a href="/wiki/%E9%BA%A5%E5%8F%AF%C2%B7%E6%B3%95%E6%8B%89%E7%AC%AC" title="麥可·法拉第">麥可·法拉第</a>（<a href="/wiki/%E6%B3%95%E6%8B%89%E7%AC%AC%E5%B8%B8%E6%95%B0" title="法拉第常数">法拉第常数</a>）　<a href="/wiki/%E7%B4%84%E7%BF%B0%C2%B7%E6%B4%9B%E6%96%BD%E5%AF%86%E7%89%B9" title="約翰·洛施密特">約翰·約瑟夫·洛施米特</a>　<a href="/wiki/%E7%BA%A6%E7%BF%B0%C2%B7%E5%B7%B4%E8%80%B3%E6%9C%AB" title="约翰·巴耳末">约翰·巴耳末</a>　<a href="/wiki/%E7%BA%A6%E7%91%9F%E5%A4%AB%C2%B7%E6%96%AF%E7%89%B9%E5%87%A1" title="约瑟夫·斯特凡">约瑟夫·斯特凡</a>（<a href="/wiki/%E6%96%AF%E7%89%B9%E8%97%A9-%E7%8E%BB%E7%88%BE%E8%8C%B2%E6%9B%BC%E5%B8%B8%E6%95%B8" title="斯特藩-玻爾茲曼常數">斯特藩-玻爾茲曼常數</a>）　<a href="/wiki/%E8%B7%AF%E5%BE%B7%E7%BB%B4%E5%B8%8C%C2%B7%E7%8E%BB%E5%B0%94%E5%85%B9%E6%9B%BC" title="路德维希·玻尔兹曼">路德维希·玻尔兹曼</a>（<a href="/wiki/%E6%B3%A2%E8%8C%B2%E6%9B%BC%E5%B8%B8%E6%95%B8" title="波茲曼常數">波茲曼常數</a>　<a href="/wiki/%E6%96%AF%E7%89%B9%E8%97%A9-%E7%8E%BB%E7%88%BE%E8%8C%B2%E6%9B%BC%E5%B8%B8%E6%95%B8" title="斯特藩-玻爾茲曼常數">斯特藩-玻爾茲曼常數</a>）　<a href="/wiki/%E7%BA%A6%E7%BF%B0%E5%86%85%E6%96%AF%C2%B7%E9%87%8C%E5%BE%B7%E4%BC%AF" title="约翰内斯·里德伯">约翰内斯·里德伯</a>（<a href="/wiki/%E9%87%8C%E5%BE%B7%E4%BC%AF%E5%B8%B8%E9%87%8F" title="里德伯常量">里德伯常量</a>）　<a href="/wiki/J%C2%B7J%C2%B7%E6%B9%AF%E5%A7%86%E6%A3%AE" title="J·J·湯姆森">约瑟夫·汤姆孙</a>　<a href="/wiki/%E9%A9%AC%E5%85%8B%E6%96%AF%C2%B7%E6%99%AE%E6%9C%97%E5%85%8B" title="马克斯·普朗克">马克斯·普朗克</a>（<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%B8%B8%E6%95%B0" title="普朗克常数">普朗克常数</a>　<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E5%B8%B8%E6%95%B0" title="普朗克常数">约化普朗克常數</a>　<a class="mw-selflink selflink">普朗克長度</a>　<a href="/wiki/%E6%99%AE%E6%9C%97%E5%85%8B%E6%99%82%E9%96%93" title="普朗克時間">普朗克時間</a>）　<a href="/wiki/%E5%A8%81%E5%BB%89%C2%B7%E7%BB%B4%E6%81%A9" title="威廉·维恩">威廉·维恩</a>　<a href="/w/index.php?title=Otto_Sackur&action=edit&redlink=1" class="new" title="Otto Sackur（页面不存在）">Otto Sackur</a>　<a href="/wiki/%E5%B0%BC%E5%B0%94%E6%96%AF%C2%B7%E7%8E%BB%E5%B0%94" title="尼尔斯·玻尔">尼尔斯·玻尔</a>（<a href="/wiki/%E7%8E%BB%E5%B0%94%E5%8D%8A%E5%BE%84" title="玻尔半径">玻尔半径</a>）　<a href="/wiki/%E6%84%9B%E5%BE%B7%E6%96%87%C2%B7%E5%93%88%E5%8B%83" title="愛德文·哈勃">愛德文·哈勃</a>（<a href="/wiki/%E5%93%88%E5%8B%83%E2%80%93%E5%8B%92%E6%A2%85%E7%89%B9%E5%AE%9A%E5%BE%8B" title="哈勃–勒梅特定律">哈勃常数</a>）　<a href="/w/index.php?title=Hugo_Tetrode&action=edit&redlink=1" class="new" title="Hugo Tetrode（页面不存在）">Hugo Tetrode</a>　<a href="/wiki/%E6%81%A9%E9%87%8C%E7%A7%91%C2%B7%E8%B4%B9%E7%B1%B3" title="恩里科·费米">恩里科·费米</a>（<a href="/wiki/%E8%B4%B9%E7%B1%B3%E8%83%BD" title="费米能">费米能</a>）　<a href="/wiki/%E5%B8%83%E8%B5%96%E6%81%A9%C2%B7%E7%BA%A6%E7%91%9F%E5%A4%AB%E6%A3%AE" title="布赖恩·约瑟夫森">布赖恩·约瑟夫森</a>　<a href="/wiki/%E5%85%8B%E5%8A%B3%E6%96%AF%C2%B7%E5%86%AF%C2%B7%E5%85%8B%E5%88%A9%E9%9D%92" title="克劳斯·冯·克利青">克劳斯·冯·克利青</a>（<span class="ilh-all" data-orig-title="冯·克利青常数" data-lang-code="en" data-lang-name="英语" data-foreign-title="Von Klitzing constant"><span class="ilh-page"><a href="/w/index.php?title=%E5%86%AF%C2%B7%E5%85%8B%E5%88%A9%E9%9D%92%E5%B8%B8%E6%95%B0&action=edit&redlink=1" class="new" title="冯·克利青常数（页面不存在）">冯·克利青常数</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Von_Klitzing_constant" class="extiw" title="en:Von Klitzing constant"><span lang="en" dir="auto">Von Klitzing constant</span></a></span>）</span></span>）　<a href="/wiki/%E9%81%93%E6%A0%BC%E6%8B%89%E6%96%AF%C2%B7%E5%93%88%E7%89%B9%E9%87%8C" title="道格拉斯·哈特里">道格拉斯·哈特里</a>（<a href="/wiki/%E5%93%88%E7%89%B9%E9%87%8C%E8%83%BD%E9%87%8F" title="哈特里能量">哈特里能量</a>）</div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div>另見<a href="/wiki/%E7%A7%91%E5%AD%B8%E5%AE%B6%E5%90%8D%E5%AD%97%E7%94%A8%E4%BD%9C%E5%9C%8B%E9%9A%9B%E5%96%AE%E4%BD%8D%E8%A1%A8%E7%A4%BA%E5%88%97%E8%A1%A8" class="mw-redirect" title="科學家名字用作國際單位表示列表">科學家名字用作國際單位表示列表</a>及<a href="/wiki/%E7%A7%91%E5%AD%B8%E5%AE%B6%E5%90%8D%E5%AD%97%E7%94%A8%E4%BD%9C%E9%9D%9E%E5%9C%8B%E9%9A%9B%E5%96%AE%E4%BD%8D%E8%A1%A8%E7%A4%BA%E5%88%97%E8%A1%A8" class="mw-redirect" title="科學家名字用作非國際單位表示列表">科學家名字用作非國際單位表示列表</a></div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">检索自“<a dir="ltr" href="https://zh.wikipedia.org/w/index.php?title=普朗克長度&oldid=80264953">https://zh.wikipedia.org/w/index.php?title=普朗克長度&oldid=80264953</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:%E9%A1%B5%E9%9D%A2%E5%88%86%E7%B1%BB" title="Special:页面分类">分类</a>：<ul><li><a href="/w/index.php?title=Category:%E9%9C%80%E8%A6%81%E9%87%8F%E5%AD%90%E7%89%A9%E7%90%86%E4%B8%93%E5%AE%B6%E5%85%B3%E6%B3%A8%E7%9A%84%E9%A1%B5%E9%9D%A2&action=edit&redlink=1" class="new" title="Category:需要量子物理专家关注的页面（页面不存在）">需要量子物理专家关注的页面</a></li><li><a href="/wiki/Category:%E8%87%AA%E7%84%B6%E5%96%AE%E4%BD%8D" title="Category:自然單位">自然單位</a></li><li><a href="/wiki/Category:%E9%95%B7%E5%BA%A6%E5%96%AE%E4%BD%8D" title="Category:長度單位">長度單位</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">隐藏分类：<ul><li><a href="/wiki/Category:%E8%87%AA2022%E5%B9%B410%E6%9C%88%E9%9C%80%E8%A1%A5%E5%85%85%E6%9D%A5%E6%BA%90%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:自2022年10月需补充来源的条目">自2022年10月需补充来源的条目</a></li><li><a href="/wiki/Category:%E6%8B%92%E7%BB%9D%E5%BD%93%E9%80%89%E9%A6%96%E9%A1%B5%E6%96%B0%E6%9D%A1%E7%9B%AE%E6%8E%A8%E8%8D%90%E6%A0%8F%E7%9B%AE%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:拒绝当选首页新条目推荐栏目的条目">拒绝当选首页新条目推荐栏目的条目</a></li><li><a href="/wiki/Category:%E8%87%AA2022%E5%B9%B410%E6%9C%88%E9%9C%80%E8%A6%81%E5%BE%9E%E8%8B%B1%E8%AA%9E%E7%B6%AD%E5%9F%BA%E7%99%BE%E7%A7%91%E7%BF%BB%E8%AD%AF%E7%9A%84%E6%A2%9D%E7%9B%AE" title="Category:自2022年10月需要從英語維基百科翻譯的條目">自2022年10月需要從英語維基百科翻譯的條目</a></li><li><a href="/wiki/Category:%E9%9C%80%E8%A6%81%E5%BE%9E%E8%8B%B1%E8%AA%9E%E7%B6%AD%E5%9F%BA%E7%99%BE%E7%A7%91%E7%BF%BB%E8%AD%AF%E7%9A%84%E6%A2%9D%E7%9B%AE" title="Category:需要從英語維基百科翻譯的條目">需要從英語維基百科翻譯的條目</a></li><li><a href="/wiki/Category:%E6%89%80%E6%9C%89%E9%9C%80%E8%A6%81%E5%B0%88%E5%AE%B6%E9%97%9C%E6%B3%A8%E7%9A%84%E9%A0%81%E9%9D%A2" title="Category:所有需要專家關注的頁面">所有需要專家關注的頁面</a></li><li><a href="/wiki/Category:%E5%85%B6%E4%BB%96%E9%9C%80%E8%A6%81%E5%B0%88%E5%AE%B6%E9%97%9C%E6%B3%A8%E7%9A%84%E9%A0%81%E9%9D%A2" title="Category:其他需要專家關注的頁面">其他需要專家關注的頁面</a></li><li><a href="/wiki/Category:%E5%90%AB%E6%9C%89%E5%A4%9A%E4%B8%AA%E9%97%AE%E9%A2%98%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:含有多个问题的条目">含有多个问题的条目</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> 本页面最后修订于2023年12月27日 (星期三) 16:46。</li> <li id="footer-info-copyright">本站的全部文字在<a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.zh">知识共享署名-相同方式共享 4.0协议</a>之条款下提供，附加条款亦可能应用。（请参阅<a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">使用条款</a>）<br /> Wikipedia®和维基百科标志是<a rel="nofollow" class="external text" href="https://wikimediafoundation.org/zh">维基媒体基金会</a>的注册商标；维基™是维基媒体基金会的商标。<br /> 维基媒体基金会是按美国国內稅收法501(c)(3)登记的<a class="external text" href="https://donate.wikimedia.org/wiki/Special:MyLanguage/Tax_deductibility">非营利慈善机构</a>。<br /></li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">隐私政策</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:%E5%85%B3%E4%BA%8E">关于维基百科</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:%E5%85%8D%E8%B4%A3%E5%A3%B0%E6%98%8E">免责声明</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">行为准则</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">开发者</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/zh.wikipedia.org">统计</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie声明</a></li> <li id="footer-places-mobileview"><a href="//zh.m.wikipedia.org/w/index.php?title=%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">手机版视图</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-694cf4987f-d5lqz","wgBackendResponseTime":215,"wgPageParseReport":{"limitreport":{"cputime":"0.337","walltime":"0.741","ppvisitednodes":{"value":1880,"limit":1000000},"postexpandincludesize":{"value":58273,"limit":2097152},"templateargumentsize":{"value":13353,"limit":2097152},"expansiondepth":{"value":28,"limit":100},"expensivefunctioncount":{"value":3,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":31200,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 376.064 1 -total"," 66.92% 251.671 1 Template:多個問題"," 39.82% 149.756 4 Template:Ambox"," 24.44% 91.913 2 Template:Navbox"," 22.29% 83.816 1 Template:Refimprove"," 20.43% 76.822 1 Template:普朗克單位"," 16.42% 61.754 1 Template:Expand_language"," 13.37% 50.282 1 Template:Expert_needed"," 10.99% 41.344 1 Template:Category_handler"," 6.12% 23.029 1 Template:Scientists_whose_names_are_used_in_physical_constants"]},"scribunto":{"limitreport-timeusage":{"value":"0.119","limit":"10.000"},"limitreport-memusage":{"value":2410430,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-7c479b968-8zw6k","timestamp":"20241115040039","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"\u666e\u6717\u514b\u9577\u5ea6","url":"https:\/\/zh.wikipedia.org\/wiki\/%E6%99%AE%E6%9C%97%E5%85%8B%E9%95%B7%E5%BA%A6","sameAs":"http:\/\/www.wikidata.org\/entity\/Q207387","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q207387","author":{"@type":"Organization","name":"\u7ef4\u57fa\u5a92\u4f53\u9879\u76ee\u8d21\u732e\u8005"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2006-01-08T22:42:37Z","dateModified":"2023-12-27T16:46:24Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/d\/d7\/Max_planck.jpg","headline":"\u9577\u5ea6\u55ae\u4f4d"}</script> </body> </html>