https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?action=history&feed=atom&title=File%3ALapse_shift.png 2026-08-02T05:54:21Z Revision history for this page on the wiki MediaWiki 1.41.1 https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=File:Lapse_shift.png&diff=3893&oldid=prev 2026-07-26T18:31:12Z

<p><span dir="auto"><span class="autocomment">Summary</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:31, 26 July 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Summary ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Summary ==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A <del style="font-weight: bold; text-decoration: none;">coordinate grid </del>of space-time into slices of constant time coordinates (grey). At <del style="font-weight: bold; text-decoration: none;">a point </del>(black circle), the lapse function (yellow) shows how far into the future that <del style="font-weight: bold; text-decoration: none;">point </del>will be projected in a unit amount of proper time experienced by an observer initially at the <del style="font-weight: bold; text-decoration: none;">point</del>. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a <del style="font-weight: bold; text-decoration: none;">set </del>of <del style="font-weight: bold; text-decoration: none;">points all </del>at the same time coordinate; after unit proper time, <del style="font-weight: bold; text-decoration: none;">they </del>get projected to the curved upper black <del style="font-weight: bold; text-decoration: none;">surface </del>according to the shift vectors and lapse functions at each of their respective points.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A <ins style="font-weight: bold; text-decoration: none;">folliation </ins>of space-time into slices of constant time coordinates (grey). At <ins style="font-weight: bold; text-decoration: none;">an event </ins>(black circle), the lapse function (yellow) shows how far into the future <ins style="font-weight: bold; text-decoration: none;">the point at </ins>that <ins style="font-weight: bold; text-decoration: none;">event </ins>will be projected in a unit amount of proper time experienced by an observer initially at the <ins style="font-weight: bold; text-decoration: none;">event</ins>. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a <ins style="font-weight: bold; text-decoration: none;">foliation </ins>of <ins style="font-weight: bold; text-decoration: none;">spacetime </ins>at the same time coordinate; after unit proper time, <ins style="font-weight: bold; text-decoration: none;">the events on the lower foliation </ins>get projected to the curved upper black <ins style="font-weight: bold; text-decoration: none;">foliation </ins>according to the shift vectors and lapse functions at each of their respective points.</div></td></tr> </table>

Lwcamp https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=File:Lapse_shift.png&diff=3889&oldid=prev 2026-07-26T18:25:09Z

<p>A coordinate grid of space-time into slices of constant time coordinates (grey). At a point (black circle), the lapse function (yellow) shows how far into the future that point will be projected in a unit amount of proper time experienced by an observer initially at the point. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a set of poi...</p> <p><b>New page</b></p><div>== Summary ==<br /> A coordinate grid of space-time into slices of constant time coordinates (grey). At a point (black circle), the lapse function (yellow) shows how far into the future that point will be projected in a unit amount of proper time experienced by an observer initially at the point. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a set of points all at the same time coordinate; after unit proper time, they get projected to the curved upper black surface according to the shift vectors and lapse functions at each of their respective points.</div>

Lwcamp