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Link = https://en.wikipedia.org/wiki/Minkowski_diagram
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content="origin-when-cross-origin"/>\n<meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c2/minkowski_diagram_-_photon.svg/1200px-minkowski_diagram_-_photon.svg.png"/>\n<link rel="alternate" href="android-app://org.wikipedia/http/en.m.wikipedia.org/wiki/minkowski_diagram"/>\n<link rel="alternate" type="application/x-wiki" title="edit this page" href="/w/index.php?title=minkowski_diagram&amp;action=edit"/>\n<link rel="edit" title="edit this page" href="/w/index.php?title=minkowski_diagram&amp;action=edit"/>\n<link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"/>\n<link rel="shortcut icon" href="/static/favicon/wikipedia.ico"/>\n<link rel="search" type="application/opensearchdescription+xml" href="/w/opensearch_desc.php" title="wikipedia (en)"/>\n<link rel="edituri" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"/>\n<link rel="license" href="//creativecommons.org/licenses/by-sa/3.0/"/>\n<link rel="canonical" href="https://en.wikipedia.org/wiki/minkowski_diagram"/>\n<link rel="dns-prefetch" href="//login.wikimedia.org"/>\n<link rel="dns-prefetch" href="//meta.wikimedia.org" />\n<!--[if lt ie 9]><script src="/w/resources/lib/html5shiv/html5shiv.js"></script><![endif]-->\n</head>\n<body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-minkowski_diagram rootpage-minkowski_diagram skin-vector action-view">\n<div id="mw-page-base" class="noprint"></div>\n<div id="mw-head-base" class="noprint"></div>\n<div id="content" class="mw-body" role="main">\n\t<a id="top"></a>\n\t<div id="sitenotice" class="mw-body-content"><!-- centralnotice --></div>\n\t<div class="mw-indicators mw-body-content">\n</div>\n\n\t<h1 id="firstheading" class="firstheading" lang="en">minkowski diagram</h1>\n\t\n\t<div id="bodycontent" class="mw-body-content">\n\t\t<div id="sitesub" class="noprint">from wikipedia, the free encyclopedia</div>\n\t\t<div id="contentsub"></div>\n\t\t\n\t\t\n\t\t\n\t\t<div id="jump-to-nav"></div>\n\t\t<a class="mw-jump-link" href="#mw-head">jump to navigation</a>\n\t\t<a class="mw-jump-link" href="#p-search">jump to search</a>\n\t\t<div id="mw-content-text" lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-parser-output"><div class="thumb tright"><div class="thumbinner" style="width:258px;"><a href="/wiki/file:minkowski_diagram_-_photon.svg" class="image"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/minkowski_diagram_-_photon.svg/256px-minkowski_diagram_-_photon.svg.png" decoding="async" width="256" height="256" class="thumbimage" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/minkowski_diagram_-_photon.svg/384px-minkowski_diagram_-_photon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/minkowski_diagram_-_photon.svg/512px-minkowski_diagram_-_photon.svg.png 2x" data-file-width="800" data-file-height="800" /></a>  <div class="thumbcaption"><div class="magnify"><a href="/wiki/file:minkowski_diagram_-_photon.svg" class="internal" title="enlarge"></a></div>the world line (yellow path) of a <a href="/wiki/photon" title="photon">photon</a>, which is at location <i>x</i> = 0 at time <i>ct</i> = 0.</div></div></div>\n<table class="vertical-navbox nowraplinks" style="float:right;clear:right;width:22.0em;margin:0 0 1.0em 1.0em;background:#f9f9f9;border:1px solid #aaa;padding:0.2em;border-spacing:0.4em 0;text-align:center;line-height:1.4em;font-size:88%"><tbody><tr><td style="padding-top:0.4em;line-height:1.2em">part of a series on</td></tr><tr><th style="padding:0.2em 0.4em 0.2em;padding-top:0;font-size:145%;line-height:1.2em"><a href="/wiki/spacetime" title="spacetime">spacetime</a></th></tr><tr><td style="padding:0.2em 0 0.4em"><a href="/wiki/file:gpb_circling_earth.jpg" class="image"><img alt="gpb circling earth.jpg" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/gpb_circling_earth.jpg/240px-gpb_circling_earth.jpg" decoding="async" width="240" height="180" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/gpb_circling_earth.jpg/360px-gpb_circling_earth.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d1/gpb_circling_earth.jpg/480px-gpb_circling_earth.jpg 2x" data-file-width="1200" data-file-height="900" /></a></td></tr><tr><td style="padding:0 0.1em 0.4em">\n<a href="/wiki/special_relativity" title="special relativity">special relativity</a><br /><a href="/wiki/general_relativity" title="general relativity">general relativity</a></td>\n</tr><tr><td style="padding:0 0.1em 0.4em">\n<div class="navframe collapsed" style="border:none;padding:0"><div class="navhead" style="font-size:105%;background:transparent;text-align:left">spacetime concepts</div><div class="navcontent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/spacetime" title="spacetime">spacetime manifold</a><br /><a href="/wiki/equivalence_principle" title="equivalence principle">equivalence
principle</a><br /><a href="/wiki/lorentz_transformation" title="lorentz transformation">lorentz transformations</a><br /><a href="/wiki/minkowski_space" title="minkowski space">minkowski space</a></div></div></td>\n</tr><tr><td style="padding:0 0.1em 0.4em">\n<div class="navframe collapsed" style="border:none;padding:0"><div class="navhead" style="font-size:105%;background:transparent;text-align:left">general relativity</div><div class="navcontent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/introduction_to_general_relativity" title="introduction to general relativity">introduction to general relativity</a><br /><a href="/wiki/introduction_to_the_mathematics_of_general_relativity" title="introduction to the mathematics of general relativity">mathematics of general relativity</a><br /><a href="/wiki/einstein_field_equations" title="einstein field equations">einstein field equations</a></div></div></td>\n</tr><tr><td style="padding:0 0.1em 0.4em">\n<div class="navframe collapsed" style="border:none;padding:0"><div class="navhead" style="font-size:105%;background:transparent;text-align:left">classical gravity</div><div class="navcontent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/gravity" title="gravity">introduction to gravitation</a><br /><a href="/wiki/newton%27s_law_of_universal_gravitation" title="newton&#39;s law of universal gravitation">newton\'s law of universal gravitation</a></div></div></td>\n</tr><tr><td style="padding:0 0.1em 0.4em">\n<div class="navframe collapsed" style="border:none;padding:0"><div class="navhead" style="font-size:105%;background:transparent;text-align:left">relevant mathematics</div><div class="navcontent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/four-vector" title="four-vector">four-vector</a><br /><a href="/wiki/derivations_of_the_lorentz_transformations" title="derivations of the lorentz transformations">derivations of relativity</a><br /><a class="mw-selflink selflink">spacetime diagrams</a><br /><a href="/wiki/differential_geometry" title="differential geometry">differential geometry</a><br /><a href="/wiki/curved_space" title="curved space">curved spacetime</a><br /><a href="/wiki/mathematics_of_general_relativity" title="mathematics of general relativity">mathematics of general relativity</a><br /><a href="/wiki/spacetime_topology" title="spacetime topology">spacetime topology</a></div></div></td>\n</tr><tr><td style="text-align:right;font-size:115%;padding-top: 0.6em;"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/template:spacetime" title="template:spacetime"><abbr title="view this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/template_talk:spacetime" title="template talk:spacetime"><abbr title="discuss this template">t</abbr></a></li><li class="nv-edit"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=template:spacetime&amp;action=edit"><abbr title="edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table>\n<p>the <b>minkowski diagram</b>, also known as a <b>spacetime diagram</b>, was developed in 1908 by <a href="/wiki/hermann_minkowski" title="hermann minkowski">hermann minkowski</a> and provides an illustration of the properties of space and time in the <a href="/wiki/special_theory_of_relativity" class="mw-redirect" title="special theory of relativity">special theory of relativity</a>. it allows a qualitative understanding of the corresponding phenomena like <a href="/wiki/time_dilation" title="time dilation">time dilation</a> and <a href="/wiki/length_contraction" title="length contraction">length contraction</a> without mathematical equations.\n</p><p>minkowski diagrams are two-dimensional graphs that depict events as happening in
a <a href="/wiki/universe" title="universe">universe</a> consisting of one space dimension and one time dimension. unlike a
regular distance-time graph, the distance is displayed on the horizontal axis and time on the vertical axis. additionally, the time and space <a href="/wiki/units_of_measurement" class="mw-redirect" title="units of measurement">units of measurement</a> are chosen in such a way that an object moving at the speed of light is depicted as following a 45\xc2\xb0 angle to the diagram\'s axes.\n</p><p>in this way, each object, like an observer or a vehicle, traces a certain line in the diagram, which is called its <a href="/wiki/world_line" title="world line">world line</a>. also, each point in the diagram represents a
certain position in space and time, and is called an <b>event</b>, regardless of whether anything relevant happens there.\n</p>\n<div id="toc" class="toc"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="en" dir="ltr"><h2>contents</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label>
Related Links = Minkowski space\nPenrose diagram\nRapidity\n\n
Introduction = The Minkowski diagram, also known as a spacetime diagram, was developed in 1908 by Hermann Minkowski and provides an illustration of the properties of space and time in the special theory of relativity. It allows a qualitative understanding of the corresponding phenomena like time dilation and length contraction without mathematical equations.\n

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minkowski diagram - wikipedia

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