2,040
edits
No edit summary |
No edit summary |
||
(2 intermediate revisions by one other user not shown) | |||
Line 3: | Line 3: | ||
|image=[[File:Holonomy.png]] | |image=[[File:Holonomy.png]] | ||
|topic=[[Graph, Wall, Tome]] | |topic=[[Graph, Wall, Tome]] | ||
|leader=EricRWeinstein#6876 | |leader=EricRWeinstein#6876 | ||
|startdate= | |startdate= | ||
|customlabel1= | |customlabel1= | ||
Line 13: | Line 13: | ||
|customlabel4= | |customlabel4= | ||
|customdata4= | |customdata4= | ||
|link1title= | |link1title= | ||
|link1= | |link1= | ||
|link2title= | |link2title= | ||
|link2= | |link2= | ||
|link3title= | |link3title= | ||
|link3= | |link3= | ||
Line 22: | Line 22: | ||
|link4= | |link4= | ||
}} | }} | ||
A visualization of the effect known as "holonomy", whereby parallel transporting a vector around a loop in a curved space leads to the vector changing upon returning to the start of the loop. How/how much the vector changes orientation/position in space is the holonomy of that loop in that space. This effect reveals deep information about the [https://en.wikipedia.org/wiki/Curvature curvature] of the space itself. | A visualization of the effect known as "holonomy", whereby parallel transporting a vector around a loop in a curved space leads to the vector changing upon returning to the start of the loop. How/how much the vector changes orientation/position in space is the holonomy of that loop in that space. This effect reveals deep information about the [https://en.wikipedia.org/wiki/Curvature curvature] of the space itself. | ||
<span class="highlight">Wait for Further News from Eric</span> | |||
== Goals == | == Goals == | ||
Line 33: | Line 31: | ||
== Demo == | == Demo == | ||
{{#widget:YouTube|id=fmDWCQs1bGI}} | |||
<div class="max-width"> | <div class="max-width"> | ||
https://theportal.wiki/images/7/7b/Holonomy_Example_-1.png | https://theportal.wiki/images/7/7b/Holonomy_Example_-1.png | ||
</div> | </div> | ||
__NOTOC__ | __NOTOC__ |