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Gebeurtenis (relativiteit) - Wikipedia
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Beschikbaar in 17 talen" > <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-17" 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">17 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%A7%D8%AF%D8%AB%D8%A9_(%D9%86%D8%B3%D8%A8%D9%8A%D8%A9)" title="حادثة (نسبية) – Arabisch" lang="ar" hreflang="ar" data-title="حادثة (نسبية)" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%D1%83%D0%BB%C4%83%D0%BC_(%D1%82%D0%B0%D0%BD%D0%BB%D0%B0%D1%88%D1%82%D0%B0%D1%80%D1%83%D0%BB%C4%83%D1%85_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D0%B9%C4%95)" title="Пулăм (танлаштарулăх теорийĕ) – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Пулăм (танлаштарулăх теорийĕ)" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Event_(relativity)" title="Event (relativity) – Engels" lang="en" hreflang="en" data-title="Event (relativity)" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Suceso_(espacio-tiempo)" title="Suceso (espacio-tiempo) – Spaans" lang="es" hreflang="es" data-title="Suceso (espacio-tiempo)" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D9%88%DB%8C%D8%AF%D8%A7%D8%AF_(%D9%86%D8%B3%D8%A8%DB%8C%D8%AA)" title="رویداد (نسبیت) – Perzisch" lang="fa" hreflang="fa" data-title="رویداد (نسبیت)" data-language-autonym="فارسی" data-language-local-name="Perzisch" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/%C3%89v%C3%A9nement_(espace-temps)" title="Événement (espace-temps) – Frans" lang="fr" hreflang="fr" data-title="Événement (espace-temps)" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BB%D6%80%D5%A1%D5%A4%D5%A1%D6%80%D5%B1%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6_(%D5%B0%D5%A1%D6%80%D5%A1%D5%A2%D5%A5%D6%80%D5%A1%D5%AF%D5%A1%D5%B6%D5%B8%D6%82%D5%A9%D5%B5%D5%A1%D5%B6_%D5%BF%D5%A5%D5%BD%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6)" title="Իրադարձություն (հարաբերականության տեսություն) – Armeens" lang="hy" hreflang="hy" data-title="Իրադարձություն (հարաբերականության տեսություն)" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Evento_(fisica)" title="Evento (fisica) – Italiaans" lang="it" hreflang="it" data-title="Evento (fisica)" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%AC%EA%B1%B4_(%EC%83%81%EB%8C%80%EB%A1%A0)" title="사건 (상대론) – Koreaans" lang="ko" hreflang="ko" data-title="사건 (상대론)" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9D%D0%B0%D1%81%D1%82%D0%B0%D0%BD_(%D1%80%D0%B5%D0%BB%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82)" title="Настан (релативност) – Macedonisch" lang="mk" hreflang="mk" data-title="Настан (релативност)" data-language-autonym="Македонски" data-language-local-name="Macedonisch" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Zdarzenie_czasoprzestrzenne" title="Zdarzenie czasoprzestrzenne – Pools" lang="pl" hreflang="pl" data-title="Zdarzenie czasoprzestrzenne" data-language-autonym="Polski" data-language-local-name="Pools" 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/Evento_(relatividade)" title="Evento (relatividade) – Portugees" lang="pt" hreflang="pt" data-title="Evento (relatividade)" data-language-autonym="Português" data-language-local-name="Portugees" 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/Eveniment_(relativitate)" title="Eveniment (relativitate) – Roemeens" lang="ro" hreflang="ro" data-title="Eveniment (relativitate)" data-language-autonym="Română" data-language-local-name="Roemeens" 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%A1%D0%BE%D0%B1%D1%8B%D1%82%D0%B8%D0%B5_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BE%D1%82%D0%BD%D0%BE%D1%81%D0%B8%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D1%81%D1%82%D0%B8)" title="Событие (теория относительности) – Russisch" lang="ru" hreflang="ru" data-title="Событие (теория относительности)" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%B4%D1%96%D1%8F_(%D1%82%D0%B5%D0%BE%D1%80%D1%96%D1%8F_%D0%B2%D1%96%D0%B4%D0%BD%D0%BE%D1%81%D0%BD%D0%BE%D1%81%D1%82%D1%96)" title="Подія (теорія відносності) – Oekraïens" lang="uk" hreflang="uk" data-title="Подія (теорія відносності)" data-language-autonym="Українська" data-language-local-name="Oekraïens" 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/S%E1%BB%B1_ki%E1%BB%87n_(thuy%E1%BA%BFt_t%C6%B0%C6%A1ng_%C4%91%E1%BB%91i)" title="Sự kiện (thuyết tương đối) – Vietnamees" lang="vi" hreflang="vi" data-title="Sự kiện (thuyết tương đối)" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8B%E4%BB%B6_(%E7%9B%B8%E5%B0%8D%E8%AB%96)" title="事件 (相對論) – Chinees" lang="zh" hreflang="zh" data-title="事件 (相對論)" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</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/Q2618029#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</a></span></div> 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title="Koppeling naar item in verbonden gegevensrepository [g]" accesskey="g"><span>Wikidata-item</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="Paginahulpmiddelen"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Uiterlijk"> <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">Uiterlijk</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">verbergen</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">Uit Wikipedia, de vrije encyclopedie</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="nl" dir="ltr"><p>In de gewone betekenis is een <b>gebeurtenis</b> een opmerkelijk voorval, zoals een glas dat stukvalt, of een ontmoeting tussen twee personen. In het eenvoudigste geval, en bij benadering, vindt een gebeurtenis plaats op één plaats en één tijd. Dit is een idealisering, een echte gebeurtenis heeft altijd zowel in ruimte als in tijd, enige uitgestrektheid.<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> </p><p>In de <a href="/wiki/Relativiteitstheorie" title="Relativiteitstheorie">relativiteitstheorie</a> zijn plaats en tijd relatieve begrippen. Een welgedefinieerde <a href="/wiki/Entiteit" title="Entiteit">entiteit</a> is echter een <i>ruimtetijdpositie</i>, een punt in de <a href="/wiki/Ruimtetijd" title="Ruimtetijd">ruimtetijd</a>, zelf ook wel <i>gebeurtenis</i> (Engels: <i>event</i>) genoemd.<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>. De beweging van een klein object wordt beschreven door zijn <a href="/wiki/Wereldlijn" title="Wereldlijn">wereldlijn</a>, een <a href="/wiki/Kromme" title="Kromme">kromme</a> in de ruimtetijd. Een ontmoeting tussen twee objecten (bijvoorbeeld een ontmoeting van mensen of ruimteschepen, of een botsing van objecten) is een <a href="/wiki/Snijpunt" title="Snijpunt">snijpunt</a> van de twee wereldlijnen. </p><p>Bij twee gebeurtenissen is een belangrijk aspect of de ene de andere kan beïnvloeden. Twee gebeurtenissen kunnen tijdachtig gescheiden zijn, dat wil zeggen dat er een tijdachtige kromme (potentieel de wereldlijn van een object) van de ene naar de andere bestaat, of slechts door een lichtachtige kromme (potentieel de wereldlijn van een lichtpuls), of ruimteachtig gescheiden zijn. Alleen in het geval van een licht- of tijdachtige scheiding kan de ene gebeurtenis de andere beïnvloeden. </p><p>De vlakke ruimtetijd (<a href="/wiki/Minkowski-ruimte" title="Minkowski-ruimte">minkowski-ruimte</a>) is een <a href="/wiki/Vectorruimte" title="Vectorruimte">vectorruimte</a>. Een ruimtetijdpositie is een element daarvan, een <a href="/wiki/Positie-viervector" class="mw-redirect" title="Positie-viervector">positie-viervector</a>. Ten opzichte van een gegeven <a href="/wiki/Inertiaalstelsel" title="Inertiaalstelsel">inertiaalstelsel</a> wordt een ruimtetijdpositie gegeven door ruimtecoördinaten en de tijd. </p><p>Een <a href="/wiki/Minkowski-diagram" title="Minkowski-diagram">minkowski-diagram</a> is een kaart van de ruimtetijd in het vereenvoudigde geval waarin ruimtelijk alles zich afspeelt op een lijn (dus eendimensionaal), zodat de ruimtetijd tweedimensionaal is. Hierin zijn de wereldlijnen van objecten dus vlakke krommen, en zijn de ontmoetingen dus te zien als de snijpunten, en zou men ook andere gebeurtenissen kunnen intekenen. </p><p>Bij verandering van het inertiaalstelsel kan deze kaart hetzelfde blijven, alleen de coördinaten veranderen. De ruimteas en de tijdas draaien naar elkaar toe of van elkaar af (met voor beide een draaiing over dezelfde hoek), zodat een scheef assenstelsel ontstaat. Daarnaast is er de mogelijkheid van een minkowski-diagram waarin de assen van het nieuwe inertiaalstelsel ook weer recht zijn, en de kaart wordt vervormd. Lijnen met een helling van 45° (stijgend of dalend) behouden die helling. Ten opzichte van assen in die standen betreft de vervorming uitrekking langs de ene as en indrukking langs de andere, met dezelfde factor, zodat oppervlakte behouden blijft. De keuze van het inertiaalstelsel, en daarmee de tijd- en bijbehorende ruimte-as of de vervorming, beïnvloeden uiteraard niet of twee gebeurtenissen tijdachtig, lichtachtig of ruimteachtig gescheiden zijn. Dit wordt bepaald door de vraag of de helling van de verbindingslijn groter dan, gelijk aan, of kleiner dan 45° is. De vervorming verandert wel de stand, maar niet de indeling in een van de drie categorieën. </p> <div class="mw-heading mw-heading2"><h2 id="Bronnen">Bronnen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gebeurtenis_(relativiteit)&veaction=edit&section=1" title="Bewerk dit kopje: Bronnen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Gebeurtenis_(relativiteit)&action=edit&section=1" title="De broncode bewerken van de sectie: Bronnen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"><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">Leo Sartori (1996), Understanding relativity: a simplified approach to Einstein's theories, University of California Press, <a href="/wiki/Speciaal:Boekbronnen/0520200292" class="internal mw-magiclink-isbn">ISBN 0520200292</a>, p 9</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">A.P. French (1968), Special Relativity, MIT Introductory Physics Series, CRC Press, <a href="/wiki/Speciaal:Boekbronnen/0748764224" class="internal mw-magiclink-isbn">ISBN 0748764224</a>, p 86</span> </li> </ol></div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐75c465f4c6‐bbv5g Cached time: 20241125100146 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.021 seconds Real time usage: 0.027 seconds Preprocessor visited node count: 70/1000000 Post‐expand include size: 146/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 1056/5000000 bytes Lua time usage: 0.002/10.000 seconds Lua memory usage: 586376/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 16.724 1 Sjabloon:References 100.00% 16.724 1 -total --> <!-- Saved in parser cache with key nlwiki:pcache:1745832:|#|:idhash:canonical and timestamp 20241125100146 and revision id 64645613. 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