Holonomy Project: Difference between revisions
No edit summary |
No edit summary |
||
(7 intermediate revisions by 3 users not shown) | |||
Line 1: | Line 1: | ||
{{InfoboxProject | {{InfoboxProject | ||
|project= | |project=Holonomy Project | ||
|image= | |image=[[File:Holonomy.png]] | ||
|topic= | |topic=[[Graph, Wall, Tome]] | ||
|leader= | |leader=EricRWeinstein#6876 | ||
|startdate= | |startdate= | ||
|customlabel1= | |customlabel1= | ||
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. | |||
<span class="highlight">Wait for Further News from Eric</span> | <span class="highlight">Wait for Further News from Eric</span> | ||
== Goals == | == Goals == | ||
* Visualize holonomy to develop public intuition of the concept. | |||
== 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__ | |||
[[Category:Archive]] | |||
[[Category:Stalled]] | |||
[[Category:Projects]] | |||
[[Category:Graph, Wall, Tome]] | [[Category:Graph, Wall, Tome]] | ||
Latest revision as of 19:00, 6 April 2024
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 curvature of the space itself.
Holonomy Project | |
Information | |
---|---|
Topic | Graph, Wall, Tome |
Leader | EricRWeinstein#6876 |
Links | |
All Projects |
Wait for Further News from Eric
GoalsEdit
- Visualize holonomy to develop public intuition of the concept.
DemoEdit