Holonomy Project: Difference between revisions
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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 == | ||
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== 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__ | ||
[[Category:Archive]] | |||
[[Category:Stalled]] | |||
[[Category:Projects]] | [[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
