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Proof that differential equations are real.

The shapes the salt is taking at different pitches are combinations of eigenfunctions of the Laplace operator.

(The Laplace operator  tells you the flux density of the gradient flow of a many-to-one function ƒ. As eigenvectors summarise a matrix operator, so do eigenfunctions summarise this differential operator.)

Remember that sound is compression waves — air vibrating back and forth — so that pressure can push the salt (or is it sand?) around just like wind blows sand in the desert.

Notice the similarity to solutions of Schrödinger PDE’s from the hydrogen atom.

When the universe sings itself, the probability waves of energy hit each other and form material shapes in the same way as the sand/salt in the video is doing. Except in 3-D, not 2-D. Everything is, like, waves, man.

To quote Dave Barry: I am not making this up. Science fact, not science fiction.

238 notes

  1. trigonometry-is-my-bitch reblogged this from fuckyeahmathematics
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  3. anotheropti reblogged this from isomorphismes and added:
    need showing in math...science classrooms. You...these...
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  13. yawnjohn reblogged this from jubejoo and added:
    The shapes the salt is taking at different pitches are combinations of eigenfunctions of the Laplace operator. (The...
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  15. wipanthex reblogged this from proofmathisbeautiful
  16. franksforeverything reblogged this from proofmathisbeautiful
  17. kyleyuen reblogged this from adamine and added:
    I have no idea how this works, but this is awesome.
  18. adamine reblogged this from caustic-ardor and added:
    this is the perfect time for Pruitt..
  19. alexlovesclay reblogged this from proofmathisbeautiful
  20. do-math reblogged this from isomorphismes
  21. kisslaughanddream reblogged this from priyasonyyy
  22. slee1123 reblogged this from proofmathisbeautiful and added:
    freakin sick! nature = math!!!!
  23. yourweirdfriend reblogged this from dursmarnai
  24. dursmarnai reblogged this from findlilyhere
  25. almostloverr reblogged this from mori-majo and added:
    the awesomest ever -
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  29. adenozine reblogged this from proofmathisbeautiful and added:
    Salty eigenfunctions of the Laplace operator. I’ll leave the explanation to the good folks below. I just find it...
  30. onewayup reblogged this from red-dumpling
  31. red-dumpling reblogged this from powerburial and added:
    Wow.
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