What direction does time flow? This may seem like a strange question, yet it is one that has puzzled Philosophers throughout the ages.
If you watch a movie of a Newtonian system evolving, you would not normally notice if it plays in reverse or not. This makes it hard to know the direction of time. We address the issue in this video.
Big thanks to my long-time friend Alexandre Milewski, a PhD student at NYC, for the idea behind this video.
You can see the source code for heat equation and Dirichlet energy here:
https://github.com/univalency/Manim-a...
References:
1]: Strauss, Walter A. Partial differential equations: An introduction. 2007.
[2]: LeVeque, Randall J. Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems. 2007.
[3]: Evans, Lawrence C. Partial differential equations. 1998.
[4]: Courant, Richard, and Fritz John. Introduction to Calculus and Analysis II/1. 2012.
Non-Academic:
[5]: Rovelli, Carlo. The order of time. 2019.
#paradox
#manim
#physics
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