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</ul> </li> <li id="toc-Aequatio_iuxta_definitiones_litterae_m" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Aequatio_iuxta_definitiones_litterae_m"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Aequatio iuxta definitiones litterae m</span> </div> </a> <button aria-controls="toc-Aequatio_iuxta_definitiones_litterae_m-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Aequatio iuxta definitiones litterae m subsection</span> </button> <ul id="toc-Aequatio_iuxta_definitiones_litterae_m-sublist" class="vector-toc-list"> <li id="toc-Massa_relativistica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Massa_relativistica"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Massa relativistica</span> </div> </a> <ul id="toc-Massa_relativistica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Massa_iners" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Massa_iners"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Massa iners</span> </div> </a> <ul id="toc-Massa_iners-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Parvae_energiae_approximatio" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Parvae_energiae_approximatio"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Parvae energiae approximatio</span> </div> </a> <ul id="toc-Parvae_energiae_approximatio-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Einstein_et_annus_mirabilis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Einstein_et_annus_mirabilis"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Einstein et annus mirabilis</span> </div> </a> <ul id="toc-Einstein_et_annus_mirabilis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notae" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notae"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Notae</span> </div> </a> <ul id="toc-Notae-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Nexus_externi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Nexus_externi"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Nexus externi</span> </div> </a> <ul id="toc-Nexus_externi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-De_hac_pagina" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#De_hac_pagina"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>De hac pagina</span> </div> </a> <ul id="toc-De_hac_pagina-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="Index" 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="Toggle the table of contents" > <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">Toggle the table of contents</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">Aequatio massae et energiae</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="Go to an article in another language. Available in 74 languages" > <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-74" 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">74 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Massa-energieverband" title="Massa-energieverband – Africana" lang="af" hreflang="af" data-title="Massa-energieverband" data-language-autonym="Afrikaans" data-language-local-name="Africana" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/%C3%84quivalenz_von_Masse_und_Energie" title="Äquivalenz von Masse und Energie – Alemannic" lang="gsw" hreflang="gsw" data-title="Äquivalenz von Masse und Energie" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%83%D8%A7%D9%81%D8%A4_%D8%A7%D9%84%D9%83%D8%AA%D9%84%D8%A9_%D9%88%D8%A7%D9%84%D8%B7%D8%A7%D9%82%D8%A9" title="تكافؤ الكتلة والطاقة – Arabica" lang="ar" hreflang="ar" data-title="تكافؤ الكتلة والطاقة" data-language-autonym="العربية" data-language-local-name="Arabica" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Equivalencia_ente_masa_y_enerx%C3%ADa" title="Equivalencia ente masa y enerxía – Asturian" lang="ast" hreflang="ast" data-title="Equivalencia ente masa y enerxía" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/K%C3%BCtl%C9%99_v%C9%99_enerjinin_ekvivalentliyi" title="Kütlə və enerjinin ekvivalentliyi – Atropatenica" lang="az" hreflang="az" data-title="Kütlə və enerjinin ekvivalentliyi" data-language-autonym="Azərbaycanca" data-language-local-name="Atropatenica" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BA%D0%B2%D1%96%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%BD%D0%B0%D1%81%D1%86%D1%8C_%D0%BC%D0%B0%D1%81%D1%8B_%D1%96_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%96" title="Эквівалентнасць масы і энергіі – Ruthenica Alba" lang="be" hreflang="be" data-title="Эквівалентнасць масы і энергіі" data-language-autonym="Беларуская" data-language-local-name="Ruthenica Alba" 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%95%D0%BA%D0%B2%D0%B8%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%BD%D0%BE%D1%81%D1%82_%D0%BD%D0%B0_%D0%BC%D0%B0%D1%81%D0%B0_%D0%B8_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Еквивалентност на маса и енергия – Bulgarica" lang="bg" hreflang="bg" data-title="Еквивалентност на маса и енергия" data-language-autonym="Български" data-language-local-name="Bulgarica" 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%AD%E0%A6%B0%E2%80%93%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF_%E0%A6%B8%E0%A6%AE%E0%A6%A4%E0%A6%BE" title="ভর–শক্তি সমতা – Bengalica" lang="bn" hreflang="bn" data-title="ভর–শক্তি সমতা" data-language-autonym="বাংলা" data-language-local-name="Bengalica" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Britonica" lang="br" hreflang="br" data-title="E=mc²" data-language-autonym="Brezhoneg" data-language-local-name="Britonica" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Equival%C3%A8ncia_entre_massa_i_energia" title="Equivalència entre massa i energia – Catalana" lang="ca" hreflang="ca" data-title="Equivalència entre massa i energia" data-language-autonym="Català" data-language-local-name="Catalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DB%8C%DB%95%DA%A9%D8%B3%D8%A7%D9%86%DB%8C_%D8%A8%D8%A7%D8%B1%D8%B3%D8%AA%DB%95-%D9%88%D8%B2%DB%95" title="یەکسانی بارستە-وزە – Central Kurdish" lang="ckb" hreflang="ckb" data-title="یەکسانی بارستە-وزە" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/E_%3D_mc%C2%B2" title="E = mc² – Bohemica" lang="cs" hreflang="cs" data-title="E = mc²" data-language-autonym="Čeština" data-language-local-name="Bohemica" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D0%BF%D0%B5_%D0%BC%D0%B0%D1%81%D1%81%D0%B0_%D1%8D%D0%BA%D0%B2%D0%B8%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%BB%C4%83%D1%85%C4%95" title="Энергипе масса эквивалентлăхĕ – Chuvassica" lang="cv" hreflang="cv" data-title="Энергипе масса эквивалентлăхĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvassica" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Danica" lang="da" hreflang="da" data-title="E=mc²" data-language-autonym="Dansk" data-language-local-name="Danica" 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/%C3%84quivalenz_von_Masse_und_Energie" title="Äquivalenz von Masse und Energie – Germanica" lang="de" hreflang="de" data-title="Äquivalenz von Masse und Energie" data-language-autonym="Deutsch" data-language-local-name="Germanica" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Zazaki" lang="diq" hreflang="diq" data-title="E=mc²" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%99%CF%83%CE%BF%CE%B4%CF%85%CE%BD%CE%B1%CE%BC%CE%AF%CE%B1_%CE%BC%CE%AC%CE%B6%CE%B1%CF%82-%CE%B5%CE%BD%CE%AD%CF%81%CE%B3%CE%B5%CE%B9%CE%B1%CF%82" title="Ισοδυναμία μάζας-ενέργειας – Graeca" lang="el" hreflang="el" data-title="Ισοδυναμία μάζας-ενέργειας" data-language-autonym="Ελληνικά" data-language-local-name="Graeca" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence" title="Mass–energy equivalence – Anglica" lang="en" hreflang="en" data-title="Mass–energy equivalence" data-language-autonym="English" data-language-local-name="Anglica" 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/Masenergia_ekvivalento" title="Masenergia ekvivalento – Esperantica" lang="eo" hreflang="eo" data-title="Masenergia ekvivalento" data-language-autonym="Esperanto" data-language-local-name="Esperantica" 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/Equivalencia_entre_masa_y_energ%C3%ADa" title="Equivalencia entre masa y energía – Hispanica" lang="es" hreflang="es" data-title="Equivalencia entre masa y energía" data-language-autonym="Español" data-language-local-name="Hispanica" 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/E_%3D_mc%C2%B2" title="E = mc² – Estonica" lang="et" hreflang="et" data-title="E = mc²" data-language-autonym="Eesti" data-language-local-name="Estonica" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu badge-Q17437796 badge-featuredarticle mw-list-item" title="pagina mensis"><a href="https://eu.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Vasconica" lang="eu" hreflang="eu" data-title="E=mc²" data-language-autonym="Euskara" data-language-local-name="Vasconica" 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/%D9%87%D9%85%E2%80%8C%D8%A7%D8%B1%D8%B2%DB%8C_%D8%AC%D8%B1%D9%85_%D9%88_%D8%A7%D9%86%D8%B1%DA%98%DB%8C" title="هم‌ارزی جرم و انرژی – Persica" lang="fa" hreflang="fa" data-title="هم‌ارزی جرم و انرژی" data-language-autonym="فارسی" data-language-local-name="Persica" 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/E%3Dmc%C2%B2" title="E=mc² – Finnica" lang="fi" hreflang="fi" data-title="E=mc²" data-language-autonym="Suomi" data-language-local-name="Finnica" 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/E%3Dmc2" title="E=mc2 – Francogallica" lang="fr" hreflang="fr" data-title="E=mc2" data-language-autonym="Français" data-language-local-name="Francogallica" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Massa-enerzjyrelaasje" title="Massa-enerzjyrelaasje – Western Frisian" lang="fy" hreflang="fy" data-title="Massa-enerzjyrelaasje" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Coibh%C3%A9is_maise_is_fuinnimh" title="Coibhéis maise is fuinnimh – Hibernica" lang="ga" hreflang="ga" data-title="Coibhéis maise is fuinnimh" data-language-autonym="Gaeilge" data-language-local-name="Hibernica" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Equivalencia_masa-enerx%C3%ADa" title="Equivalencia masa-enerxía – Gallaica" lang="gl" hreflang="gl" data-title="Equivalencia masa-enerxía" data-language-autonym="Galego" data-language-local-name="Gallaica" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Hebrew" lang="he" hreflang="he" data-title="E=mc²" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%AE%E0%A4%BE%E0%A4%A8-%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE_%E0%A4%B8%E0%A4%AE%E0%A4%A4%E0%A5%81%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%A4%E0%A4%BE" title="द्रव्यमान-ऊर्जा समतुल्यता – Hindica" lang="hi" hreflang="hi" data-title="द्रव्यमान-ऊर्जा समतुल्यता" data-language-autonym="हिन्दी" data-language-local-name="Hindica" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ekvivalencija_mase_i_energije" title="Ekvivalencija mase i energije – Croatica" lang="hr" hreflang="hr" data-title="Ekvivalencija mase i energije" data-language-autonym="Hrvatski" data-language-local-name="Croatica" 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/T%C3%B6meg-energia_ekvivalencia" title="Tömeg-energia ekvivalencia – Hungarica" lang="hu" hreflang="hu" data-title="Tömeg-energia ekvivalencia" data-language-autonym="Magyar" data-language-local-name="Hungarica" 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/%D4%B6%D5%A1%D5%B6%D5%A3%D5%BE%D5%A1%D5%AE%D5%AB_%D6%87_%D5%A7%D5%B6%D5%A5%D6%80%D5%A3%D5%AB%D5%A1%D5%B5%D5%AB_%D5%B0%D5%A1%D5%B4%D5%A1%D6%80%D5%AA%D5%A5%D6%84%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Զանգվածի և էներգիայի համարժեքություն – Armenica" lang="hy" hreflang="hy" data-title="Զանգվածի և էներգիայի համարժեքություն" data-language-autonym="Հայերեն" data-language-local-name="Armenica" 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/Ekuivalensi_massa%E2%80%93energi" title="Ekuivalensi massa–energi – Indonesian" lang="id" hreflang="id" data-title="Ekuivalensi massa–energi" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" 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/E%3Dmc%C2%B2" title="E=mc² – Italiana" lang="it" hreflang="it" data-title="E=mc²" data-language-autonym="Italiano" data-language-local-name="Italiana" 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/%E8%B3%AA%E9%87%8F%E3%81%A8%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC%E3%81%AE%E7%AD%89%E4%BE%A1%E6%80%A7" title="質量とエネルギーの等価性 – Iaponica" lang="ja" hreflang="ja" data-title="質量とエネルギーの等価性" data-language-autonym="日本語" data-language-local-name="Iaponica" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Iavensis" lang="jv" hreflang="jv" data-title="E=mc²" data-language-autonym="Jawa" data-language-local-name="Iavensis" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0-%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D1%8D%D0%BA%D0%B2%D0%B8%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D1%96" title="Масса-энергия эквиваленті – Cazachica" lang="kk" hreflang="kk" data-title="Масса-энергия эквиваленті" data-language-autonym="Қазақша" data-language-local-name="Cazachica" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%9A%E1%9E%BC%E1%9E%94%E1%9E%98%E1%9E%93%E1%9F%92%E1%9E%8F%E1%9E%9F%E1%9E%98%E1%9E%98%E1%9E%BC%E1%9E%9B%E1%9E%98%E1%9F%89%E1%9E%B6%E1%9E%9F%E1%9F%8B-%E1%9E%90%E1%9E%B6%E1%9E%98%E1%9E%96%E1%9E%9B" title="រូបមន្តសមមូលម៉ាស់-ថាមពល – Chmerica" lang="km" hreflang="km" data-title="រូបមន្តសមមូលម៉ាស់-ថាមពល" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Chmerica" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A7%88%EB%9F%89-%EC%97%90%EB%84%88%EC%A7%80_%EB%93%B1%EA%B0%80" title="질량-에너지 등가 – Coreana" lang="ko" hreflang="ko" data-title="질량-에너지 등가" data-language-autonym="한국어" data-language-local-name="Coreana" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lad mw-list-item"><a href="https://lad.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Ladino" lang="lad" hreflang="lad" data-title="E=mc²" data-language-autonym="Ladino" data-language-local-name="Ladino" class="interlanguage-link-target"><span>Ladino</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%97%E0%BA%BD%E0%BA%9A%E0%BB%80%E0%BA%97%E0%BA%BB%E0%BB%88%E0%BA%B2%E0%BA%A1%E0%BA%A7%E0%BA%99-%E0%BA%9E%E0%BA%B0%E0%BA%A5%E0%BA%B1%E0%BA%87%E0%BA%87%E0%BA%B2%E0%BA%99" title="ທຽບເທົ່າມວນ-ພະລັງງານ – Lao" lang="lo" hreflang="lo" data-title="ທຽບເທົ່າມວນ-ພະລັງງານ" data-language-autonym="ລາວ" data-language-local-name="Lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Mas%C4%97s_ir_energijos_s%C4%85ry%C5%A1is" title="Masės ir energijos sąryšis – Lithuanica" lang="lt" hreflang="lt" data-title="Masės ir energijos sąryšis" data-language-autonym="Lietuvių" data-language-local-name="Lithuanica" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Masas%E2%80%94ener%C4%A3ijas_proporcionalit%C4%81te" title="Masas—enerģijas proporcionalitāte – Lettonica" lang="lv" hreflang="lv" data-title="Masas—enerģijas proporcionalitāte" data-language-autonym="Latviešu" data-language-local-name="Lettonica" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%B4%D0%BD%D0%B0%D0%BA%D0%B2%D0%BE%D1%81%D1%82_%D0%BD%D0%B0_%D0%BC%D0%B0%D1%81%D0%B0%D1%82%D0%B0_%D0%B8_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0%D1%82%D0%B0" title="Еднаквост на масата и енергијата – Macedonica" lang="mk" hreflang="mk" data-title="Еднаквост на масата и енергијата" data-language-autonym="Македонски" data-language-local-name="Macedonica" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/E_%3D_mc%C2%B2" title="E = mc² – Malabarica" lang="ml" hreflang="ml" data-title="E = mc²" data-language-autonym="മലയാളം" data-language-local-name="Malabarica" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Malayana" lang="ms" hreflang="ms" data-title="E=mc²" data-language-autonym="Bahasa Melayu" data-language-local-name="Malayana" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Neapolitan" lang="nap" hreflang="nap" data-title="E=mc²" data-language-autonym="Napulitano" data-language-local-name="Neapolitan" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Massa-energierelatie" title="Massa-energierelatie – Batava" lang="nl" hreflang="nl" data-title="Massa-energierelatie" data-language-autonym="Nederlands" data-language-local-name="Batava" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Masseenergilova" title="Masseenergilova – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Masseenergilova" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Masseenergiloven" title="Masseenergiloven – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Masseenergiloven" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/R%C3%B3wnowa%C5%BCno%C5%9B%C4%87_masy_i_energii" title="Równoważność masy i energii – Polonica" lang="pl" hreflang="pl" data-title="Równoważność masy i energii" data-language-autonym="Polski" data-language-local-name="Polonica" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Equival%C3%AAncia_massa%E2%80%93energia" title="Equivalência massa–energia – Lusitana" lang="pt" hreflang="pt" data-title="Equivalência massa–energia" data-language-autonym="Português" data-language-local-name="Lusitana" 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/Echivalen%C8%9B%C4%83_mas%C4%83-energie" title="Echivalență masă-energie – Dacoromanica" lang="ro" hreflang="ro" data-title="Echivalență masă-energie" data-language-autonym="Română" data-language-local-name="Dacoromanica" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BA%D0%B2%D0%B8%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%BC%D0%B0%D1%81%D1%81%D1%8B_%D0%B8_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D0%B8" title="Эквивалентность массы и энергии – Russica" lang="ru" hreflang="ru" data-title="Эквивалентность массы и энергии" data-language-autonym="Русский" data-language-local-name="Russica" 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/E%3Dmc%C2%B2" title="E=mc² – Sicilian" lang="scn" hreflang="scn" data-title="E=mc²" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" 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/Ekvivalentnost_mase_i_energije" title="Ekvivalentnost mase i energije – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Ekvivalentnost mase i energije" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" 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%B7%83%E0%B7%8A%E0%B6%9A%E0%B6%B1%E0%B7%8A%E0%B6%B0%E2%80%93%E0%B7%81%E0%B6%9A%E0%B7%8A%E0%B6%AD%E0%B7%92_%E0%B6%AD%E0%B7%94%E0%B6%BD%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B6%AD%E0%B7%8F%E0%B7%80%E0%B6%BA" title="ස්කන්ධ–ශක්ති තුල්‍යතාවය – Singhalensis" lang="si" hreflang="si" data-title="ස්කන්ධ–ශක්ති තුල්‍යතාවය" data-language-autonym="සිංහල" data-language-local-name="Singhalensis" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Einsteinov_vz%C5%A5ah" title="Einsteinov vzťah – Slovaca" lang="sk" hreflang="sk" data-title="Einsteinov vzťah" data-language-autonym="Slovenčina" data-language-local-name="Slovaca" 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/E_%3D_mc%C2%B2" title="E = mc² – Slovena" lang="sl" hreflang="sl" data-title="E = mc²" data-language-autonym="Slovenščina" data-language-local-name="Slovena" 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%88%D0%B5%D0%B4%D0%BD%D0%B0%D0%BA%D0%BE%D1%81%D1%82_%D0%BC%D0%B0%D1%81%D0%B5_%D0%B8_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B5" title="Једнакост масе и енергије – Serbica" lang="sr" hreflang="sr" data-title="Једнакост масе и енергије" data-language-autonym="Српски / srpski" data-language-local-name="Serbica" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/E%3Dmc%C2%B2" title="E=mc² – Sundanese" lang="su" hreflang="su" data-title="E=mc²" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/E_%3D_mc%C2%B2" title="E = mc² – Suecica" lang="sv" hreflang="sv" data-title="E = mc²" data-language-autonym="Svenska" data-language-local-name="Suecica" 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%90%E0%AE%A9%E0%AF%8D%E0%AE%B8%E0%AF%8D%E0%AE%9F%E0%AF%80%E0%AE%A9%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%AA%E0%AF%8A%E0%AE%B0%E0%AF%81%E0%AE%A3%E0%AF%8D%E0%AE%AE%E0%AF%88_-_%E0%AE%86%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B2%E0%AF%8D_%E0%AE%9A%E0%AE%AE%E0%AE%A9%E0%AF%8D%E0%AE%AA%E0%AE%BE%E0%AE%9F%E0%AF%81" title="ஐன்ஸ்டீனின் பொருண்மை - ஆற்றல் சமன்பாடு – Tamulica" lang="ta" hreflang="ta" data-title="ஐன்ஸ்டீனின் பொருண்மை - ஆற்றல் சமன்பாடு" data-language-autonym="தமிழ்" data-language-local-name="Tamulica" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%AA%E0%B8%A1%E0%B8%A1%E0%B8%B9%E0%B8%A5%E0%B8%A1%E0%B8%A7%E0%B8%A5%E2%80%93%E0%B8%9E%E0%B8%A5%E0%B8%B1%E0%B8%87%E0%B8%87%E0%B8%B2%E0%B8%99" title="ความสมมูลมวล–พลังงาน – Thai" lang="th" hreflang="th" data-title="ความสมมูลมวล–พลังงาน" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pagkakatumbas_ng_masa_at_enerhiya" title="Pagkakatumbas ng masa at enerhiya – Tagalog" lang="tl" hreflang="tl" data-title="Pagkakatumbas ng masa at enerhiya" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCtle-enerji_e%C5%9Fde%C4%9Ferli%C4%9Fi" title="Kütle-enerji eşdeğerliği – Turcica" lang="tr" hreflang="tr" data-title="Kütle-enerji eşdeğerliği" data-language-autonym="Türkçe" data-language-local-name="Turcica" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B8%D1%82%D0%B0%D0%BD%D0%BD%D1%8F_%D0%B5%D0%BA%D0%B2%D1%96%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%96_%D0%BC%D0%B0%D1%81%D0%B8_%D1%82%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%97" title="Питання еквівалентності маси та енергії – Ucrainica" lang="uk" hreflang="uk" data-title="Питання еквівалентності маси та енергії" data-language-autonym="Українська" data-language-local-name="Ucrainica" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/E%3Dmc2" title="E=mc2 – Urdu" lang="ur" hreflang="ur" data-title="E=mc2" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%B1_t%C6%B0%C6%A1ng_%C4%91%C6%B0%C6%A1ng_kh%E1%BB%91i_l%C6%B0%E1%BB%A3ng%E2%80%93n%C4%83ng_l%C6%B0%E1%BB%A3ng" title="Sự tương đương khối lượng–năng lượng – Vietnamica" lang="vi" hreflang="vi" data-title="Sự tương đương khối lượng–năng lượng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamica" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%B4%A8%E8%83%BD%E7%AD%89%E4%BB%B7" title="质能等价 – Wu" lang="wuu" hreflang="wuu" data-title="质能等价" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/E%3Dmc%C2%B2" 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Corrige si potes. Vide {{<a href="/wiki/Formula:Latinitas" title="Formula:Latinitas">latinitas</a>}}.</i></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fasciculus:Relativity5_Walk_of_Ideas_Berlin.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Relativity5_Walk_of_Ideas_Berlin.JPG/220px-Relativity5_Walk_of_Ideas_Berlin.JPG" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Relativity5_Walk_of_Ideas_Berlin.JPG/330px-Relativity5_Walk_of_Ideas_Berlin.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Relativity5_Walk_of_Ideas_Berlin.JPG/440px-Relativity5_Walk_of_Ideas_Berlin.JPG 2x" data-file-width="800" data-file-height="600" /></a><figcaption>Energia, massa, celeritas lucis</figcaption></figure> <p><i><b>E=mc<sup>2</sup></b></i> est aequatio praeclara scientiae <a href="/wiki/Physica" title="Physica">physicae</a> quae relationem dat inter <a href="/wiki/Massa" title="Massa">massam</a> <i>m</i> et <a href="/wiki/Energia" title="Energia">energiam</a> <i>E</i>, extera <a href="/wiki/Energia_potentialis" title="Energia potentialis">energia potentiali</a> exclusa. In formula, <a href="/wiki/Celeritas_lucis" title="Celeritas lucis">celeritas lucis</a> in vacuo prima littera <i>c</i> verbi Latini <i><a href="/wiki/Celeritas" title="Celeritas">celeritas</a></i> denotatur. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Significationes_aequationis">Significationes aequationis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=1" title="Recensere partem: Significationes aequationis" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=1" title="Edit section's source code: Significationes aequationis"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Physicus <a href="/w/index.php?title=Franciscus_Wilczek&action=edit&redlink=1" class="new" title="Franciscus Wilczek (non est haec pagina)">Franciscus Wilczek</a> distinguit tres leges: </p> <ul><li>prima lex dicit <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 m=E/c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m=E/c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff7c2836e897fbb1910d000ae39ac926d34f6494" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.138ex; height:3.176ex;" alt="{\displaystyle m=E/c^{2}}"></span>, formam qua primitus Einstein legem scripsit, significans energia corporis efficit massam eius;</li> <li>secunda lex dicit <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 E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}"></span>, quae lex dicit corpus massae m continet in se energiam E;</li> <li>tertia lex dicit <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^{2}=E/m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c^{2}=E/m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77a9566b610a448927c5985e6f887283e0b3b5c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.138ex; height:3.176ex;" alt="{\displaystyle c^{2}=E/m}"></span>, quae dicit energiam et massam idem sunt.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Implicata">Implicata</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=2" title="Recensere partem: Implicata" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=2" title="Edit section's source code: Implicata"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Einstein <a href="/wiki/Relativitas_specialis" title="Relativitas specialis">relativitatem specialem</a> excogitans, hanc aequationem monstravit energiam totalem (cineticam et inertem) necessario hanc formam habere ut <a href="/wiki/Leges_motus_Newtoni" title="Leges motus Newtoni">motus</a> conservetur in quattuor <a href="/wiki/Dimensio" class="mw-disambig" title="Dimensio">dimensionibus</a>. Haec formula cum adamussim experimentis confirmata sit, theoriam Einsteinianam confirmat. </p><p>Maximus autem proventus huius aequationis est <a href="/wiki/Energia_nuclearis" title="Energia nuclearis">energia atomica</a>, ubi mutatio massae quae reactionem nuclearem sequitur energiam solvit, utilem ad electricitatem generandam. Alterum exemplum energiae atomicae est <a href="/wiki/Bomba_atomica" title="Bomba atomica">bomba atomica</a>, qua explosio magna creetur per reactionem nuclearem energiam celeriter solvens. </p><p>Per hanc formulam unum <a href="/wiki/Chiliogramma" title="Chiliogramma">chiliogramma</a> potest transmittere toto in: </p> <ul><li>89 875 517 873 681 764 <a href="/wiki/Joulium" title="Joulium">Joulia</a> aut</li> <li>24 965 421 632 <a href="/w/index.php?title=Chiliovattio-hora&action=edit&redlink=1" class="new" title="Chiliovattio-hora (non est haec pagina)">chiliovattio-horas</a> aut</li> <li>21.480 764 31 <a href="/w/index.php?title=Megatunna&action=edit&redlink=1" class="new" title="Megatunna (non est haec pagina)">megatunnas TNT</a> aut</li> <li>circum 8.5 190 064 * 10<sup>13</sup> <a href="/w/index.php?title=British_thermal_unit&action=edit&redlink=1" class="new" title="British thermal unit (non est haec pagina)">unitatum Anglicorum thermalium</a></li></ul> <p>Pergravis est notare rarissimum esse massam in energiam puram converti. Speculatur perfectam conversionem fieri quando <a href="/w/index.php?title=Materia_physica&action=edit&redlink=1" class="new" title="Materia physica (non est haec pagina)">materia</a> <a href="/wiki/Antimateria" title="Antimateria">antimateriá</a> confligat. Usitate autem minor materia in energiam puram (h.e. in energiam electromagneticam vel caloricam) convertitur, quia res alterae sicut particulae massivae producuntur. </p> <div class="mw-heading mw-heading2"><h2 id="Aequatio_iuxta_definitiones_litterae_m">Aequatio iuxta definitiones litterae m</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=3" title="Recensere partem: Aequatio iuxta definitiones litterae m" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=3" title="Edit section's source code: Aequatio iuxta definitiones litterae m"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Modus quo formula ad corpora moventia applicet dependet a definitione massae <i>m</i> adhibita. Cum massa relativistica utimur <i>m</i>, hac in formula <i>E</i> est energia totalis particulae: summa energiae cineticae et energiae inertis eius; et massa m est massa totalis: summa massae inertis et cineticae. Cum autem <a href="/wiki/Massa" title="Massa">massa</a> <a href="/wiki/Inertia" title="Inertia">inerte</a> utimur <i>m</i>, energia <i>E</i> hac in formula sola dat energiam inertem. </p><p>Haec differentia maximi momenti est cum particula caret massa inerti. <a href="/wiki/Photon" title="Photon">Photona</a> exempli gratia habent zerum massae inertis <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 m=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e57f21007575fd03e3be0da20af34d25829cc9a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.301ex; height:2.176ex;" alt="{\displaystyle m=0}"></span>, ergo zerum energiae inertis. Verumtamen energiam <i>E</i> totalis habent supra zerum, quae sola cinetica est. </p> <div class="mw-heading mw-heading3"><h3 id="Massa_relativistica">Massa relativistica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=4" title="Recensere partem: Massa relativistica" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=4" title="Edit section's source code: Massa relativistica"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Principalia symbola Einsteiniana <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> usa sunt massá relativisticá <i>m</i>, quae calculatur a <a href="/wiki/Massa" title="Massa">massa</a> <a href="/wiki/Inertia" title="Inertia">inerti</a> <i>m<sub>0</sub></i> (h.e. corporis massa e perspectiva ubi corpus iners sit) per formulam </p> <dl><dd><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 m=\gamma m_{0}={\frac {m_{0}}{\sqrt {1-v^{2}/c^{2}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mi>γ</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m=\gamma m_{0}={\frac {m_{0}}{\sqrt {1-v^{2}/c^{2}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e0386a22e1fa037423f65b87a98fad52e364a69" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:25.162ex; height:6.009ex;" alt="{\displaystyle m=\gamma m_{0}={\frac {m_{0}}{\sqrt {1-v^{2}/c^{2}}}}}"></span></dd></dl></dd></dl> <p>Sic definiendo obtinemus aequationem in forma simplice <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 E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}"></span>. </p> <div class="mw-heading mw-heading3"><h3 id="Massa_iners">Massa iners</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=5" title="Recensere partem: Massa iners" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=5" title="Edit section's source code: Massa iners"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Massá autem relativisticá infrequente utuntur hodie physici, qui inertem massam denotant <i>m</i>, ut E=mc<sup>2</sup> sit <i>iners energia</i> corporis, nec energia totalis. Formula <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 E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}"></span> hoc sensu admussim pertinet solum ad energiam inertem, corporibus non euntibus. Formula generalis quae spectat ad corpora euntia est: </p> <dl><dd><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 E={\sqrt {p^{2}c^{2}+m^{2}c^{4}}}=\gamma mc^{2}={\frac {mc^{2}}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mi>γ</mi> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msqrt> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E={\sqrt {p^{2}c^{2}+m^{2}c^{4}}}=\gamma mc^{2}={\frac {mc^{2}}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dfdbbd2136ce6eacf126b67034a1ae7ab875418f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.671ex; width:40.667ex; height:8.509ex;" alt="{\displaystyle E={\sqrt {p^{2}c^{2}+m^{2}c^{4}}}=\gamma mc^{2}={\frac {mc^{2}}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}"></span></dd></dl></dd></dl> <p>ubi <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 p=\gamma mv}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mi>γ</mi> <mi>m</mi> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p=\gamma mv}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f352a03948051994abcbfe5d7a63f4a566899aa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:8.788ex; height:2.176ex;" alt="{\displaystyle p=\gamma mv}"></span> est <a href="/wiki/Motus" title="Motus">motus</a> corporis. Haec formula ad <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 E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}"></span> reducitur, solum cum <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 v=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba3d414a23bf4ecfa36cdd039241efc60a5bd9e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.389ex; height:2.176ex;" alt="{\displaystyle v=0}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Parvae_energiae_approximatio">Parvae energiae approximatio</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=6" title="Recensere partem: Parvae energiae approximatio" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=6" title="Edit section's source code: Parvae energiae approximatio"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Quod energia iners est m<sub>o</sub>c², et energia tota est <a href="/wiki/Energia_cinetica" title="Energia cinetica">energia cinetica</a> plus energia iners, energia relativistica cinetica datur ab </p> <dl><dd><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 E_{\mathrm {cinetica} }=E-E_{\mathrm {iners} }=\gamma m_{o}c^{2}-m_{o}c^{2}=\left(\gamma -1\right)m_{o}c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">a</mi> </mrow> </mrow> </msub> <mo>=</mo> <mi>E</mi> <mo>−</mo> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> <mo>=</mo> <mi>γ</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mi>γ</mi> <mo>−</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {cinetica} }=E-E_{\mathrm {iners} }=\gamma m_{o}c^{2}-m_{o}c^{2}=\left(\gamma -1\right)m_{o}c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e26755975d0837edfab40838ff0473f70be73fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:53.638ex; height:3.176ex;" alt="{\displaystyle E_{\mathrm {cinetica} }=E-E_{\mathrm {iners} }=\gamma m_{o}c^{2}-m_{o}c^{2}=\left(\gamma -1\right)m_{o}c^{2}}"></span></dd></dl></dd></dl> <p>Cum velocitates parvae respectu c habeantur, haec formula cum formula classica energiae cineticae </p> <dl><dd><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 E_{\mathrm {cinetica} }={\frac {1}{2}}m_{o}v^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">a</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {cinetica} }={\frac {1}{2}}m_{o}v^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6be271cdd7cd18e9005bd83b640a6313ab9e22be" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:17.777ex; height:5.176ex;" alt="{\displaystyle E_{\mathrm {cinetica} }={\frac {1}{2}}m_{o}v^{2}}"></span>.</dd></dl></dd></dl> <p>congruendum est. Expandendo enim <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 \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span> modo <a href="/w/index.php?title=Series_Tayloris&action=edit&redlink=1" class="new" title="Series Tayloris (non est haec pagina)">serie Taylori</a>, </p> <dl><dd><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 \gamma ={\frac {1}{\sqrt {1-({\frac {v}{c}})^{2}}}}\approx 1+{\frac {1}{2}}\left({\frac {v}{c}}\right)^{2}+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{4}+...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msqrt> <mn>1</mn> <mo>−</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mfrac> </mrow> <mo>≈</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </mrow> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma ={\frac {1}{\sqrt {1-({\frac {v}{c}})^{2}}}}\approx 1+{\frac {1}{2}}\left({\frac {v}{c}}\right)^{2}+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{4}+...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f18f2ceda555247d2484fcaa3a43a25397ff8669" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.671ex; width:46.069ex; height:8.009ex;" alt="{\displaystyle \gamma ={\frac {1}{\sqrt {1-({\frac {v}{c}})^{2}}}}\approx 1+{\frac {1}{2}}\left({\frac {v}{c}}\right)^{2}+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{4}+...}"></span>.</dd></dl></dd></dl> <p>obtinemus cum <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 v\ll c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>≪</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v\ll c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eeae20cf8308560968c220b5c0da3d2b6a48e8d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.749ex; height:1.843ex;" alt="{\displaystyle v\ll c}"></span> </p> <dl><dd><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 E_{\mathrm {cinetica} }=\left(\gamma -1\right)m_{o}c^{2}\approx {\frac {1}{2}}m_{o}v^{2}+{\frac {3}{8}}m_{o}v^{2}\left({\frac {v}{c}}\right)^{2}+...\approx {\frac {1}{2}}m_{o}v^{2}\left(1+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{2}+...\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">a</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mi>γ</mi> <mo>−</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>≈</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>≈</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </mrow> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {cinetica} }=\left(\gamma -1\right)m_{o}c^{2}\approx {\frac {1}{2}}m_{o}v^{2}+{\frac {3}{8}}m_{o}v^{2}\left({\frac {v}{c}}\right)^{2}+...\approx {\frac {1}{2}}m_{o}v^{2}\left(1+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{2}+...\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93fa0259e6f293e7d1da510b3722223b78f793c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:84.479ex; height:6.176ex;" alt="{\displaystyle E_{\mathrm {cinetica} }=\left(\gamma -1\right)m_{o}c^{2}\approx {\frac {1}{2}}m_{o}v^{2}+{\frac {3}{8}}m_{o}v^{2}\left({\frac {v}{c}}\right)^{2}+...\approx {\frac {1}{2}}m_{o}v^{2}\left(1+{\frac {3}{8}}\left({\frac {v}{c}}\right)^{2}+...\right)}"></span>,</dd></dl></dd></dl> <p>Habemus igitur, cum <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 v\ll c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>≪</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v\ll c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eeae20cf8308560968c220b5c0da3d2b6a48e8d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.749ex; height:1.843ex;" alt="{\displaystyle v\ll c}"></span>, relativisticam energiae formulam <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 E_{tota}=m_{o}c^{2}+{\frac {1}{2}}m_{o}v^{2}+E_{\mathrm {potentialis} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">p</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{tota}=m_{o}c^{2}+{\frac {1}{2}}m_{o}v^{2}+E_{\mathrm {potentialis} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc932f0616c628cc5e417bbd4ffecd52e4c2a255" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:35.411ex; height:5.176ex;" alt="{\displaystyle E_{tota}=m_{o}c^{2}+{\frac {1}{2}}m_{o}v^{2}+E_{\mathrm {potentialis} }}"></span>, quae cum formula ab <a href="/wiki/Isaacus_Newtonus" title="Isaacus Newtonus">Newtono</a> excogitata congruit. Incongruentia cum formulis classicis accidit modo cum velocitates habeantur magnas respectu velocitati lucis. </p> <div class="mw-heading mw-heading2"><h2 id="Einstein_et_annus_mirabilis">Einstein et annus mirabilis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=7" title="Recensere partem: Einstein et annus mirabilis" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=7" title="Edit section's source code: Einstein et annus mirabilis"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Albertus_Einstein" title="Albertus Einstein">Albertus Einstein</a> usque annum <a href="/wiki/1905" title="1905">1905</a> inscitus, hoc anno tria principia protulit. Primum fuit <i>Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt</i> (sc. Latine "De perspectiva heuristica circa productionem et transformationem lucis"), ubi Einstein proposuit lucis quanta (vide <a href="/wiki/Mechanica_quantica" title="Mechanica quantica">physicam quanticam</a>) quasi particulas exsistere, demonstravitque quo modo explicarent phenomena effectus photoelectrici. Secundum symbolum <i>Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen</i> ("De motu particulae parvae in fluido statario suspensae quem theoria cinetica calorica molecularis requirit"), de <a href="/w/index.php?title=Motus_Brownianus&action=edit&redlink=1" class="new" title="Motus Brownianus (non est haec pagina)">motu Browniano</a>, dat indicium atomorum. Tertium <i>Zur Elektrodynamik bewegter Körper</i> ("De corporum moventium electrodynamica") proposuit theoriam <a href="/wiki/Relativitas_specialis" title="Relativitas specialis">relativitatis specialis</a>. Quartum inclytum, <i>Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig</i> ("Pendetne inertia corporis in sua energia?"), introduxit aequationem <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 E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}"></span>. Annus <a href="/wiki/1905" title="1905">1905</a> vocatur <a href="/w/index.php?title=Annus_mirabilis&action=edit&redlink=1" class="new" title="Annus mirabilis (non est haec pagina)">annus mirabilis</a> quia antea Einstein non inclytus esset, nec physicus, sed scriba laborans in officina ministerii Helvetici ad diplomata inventionis dicatus. </p> <div class="mw-heading mw-heading2"><h2 id="Notae">Notae</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=8" title="Recensere partem: Notae" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=8" title="Edit section's source code: Notae"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">e.g. <a rel="nofollow" class="external text" href="http://www.fourmilab.ch/etexts/einstein/specrel/www/"><i>On the Electrodynamics of Moving Bodies</i> apud www.fourmilab.ch</a></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Nexus_externi">Nexus externi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aequatio_massae_et_energiae&veaction=edit&section=9" title="Recensere partem: Nexus externi" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Aequatio_massae_et_energiae&action=edit&section=9" title="Edit section's source code: Nexus externi"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://news.bbc.co.uk/2/hi/science/nature/4457020.stm">Felicitas in Natale Centissimo E=mc²</a> BBC</li> <li><a rel="nofollow" class="external text" href="http://news.bbc.co.uk/2/hi/entertainment/4145797.stm">Einsteinis E=mc² Choream Inspirat</a> BBC</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20060104025546/http://www.rambert.org.uk/index.html">Rampart Saltans Grex: Velocitas Constans E=mc²</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20051225230710/http://www.edwardmuller.com/right17.htm">Eduardii Muller Homepage > Antimateriae Calculator</a></li> <li><a rel="nofollow" class="external text" href="http://hypertextbook.com/facts/2000/MuhammadKaleem.shtml">Energia Ruporis Atomicae</a></li> <li><a rel="nofollow" class="external text" href="http://www.fourmilab.ch/etexts/einstein/E_mc2/www/">Alberti Einsteinis Sep. 27, 1905 charta</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20061002182826/http://www.symmetrymag.org/cms/?pid=1000067">Charta anno 1912 Displicans E=mc²</a></li> <li><a rel="nofollow" class="external text" href="http://www.pbs.org/wgbh/nova/einstein/">NOVA - Notio Einsteinis Magna</a> (PBS Television)</li></ul> <h2 id="De_hac_pagina" style="border: none; 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