Geodesics are the paths light rays take in different media, they can be described as the "shortest path" between two points in a manifold. We explore how the calculus of variations enables us to solve for geodesics in everyday systems as well as at the cosmologic scale.
The simulations by Steve Trettel http://www.stevejtrettel.com.
These are intrinsic views ray-traced in R^4 following solutions to Schwarzschild geodesics.
http://www.stevejtrettel.site/code/Bl...
http://www.stevejtrettel.site/code/Bl...
http://www.stevejtrettel.site/code/Bl...
And this is an extrinsic view of Schwarzschild geodesics after the time-coordinate is projected out.
http://www.stevejtrettel.site/code/Bl...
Music "Everything" by Vi Hart
/ vihartvihart
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