### 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 $\dpi{200} \bg_white \large \bigtriangleup f = \sum_{i=1}^n {\partial ^2 f \over \partial {x_i}^2 }$ 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.

236 notes

1. clazzjassicalrockhop reblogged this from isomorphismes
2. anotheropti reblogged this from isomorphismes and added:
need showing in math...science classrooms. You...these...
3. nameleswonderlove reblogged this from isomorphismes
4. asktheboss reblogged this from fuckyeahmathematics
5. elpandah reblogged this from proofmathisbeautiful
6. fuckyeahmathematics reblogged this from isomorphismes
7. ebrioconceptual reblogged this from sawyeriii
8. sawyeriii reblogged this from doctoratat
9. doctoratat reblogged this from proofmathisbeautiful
10. jackbeloved reblogged this from isomorphismes
11. withyourxxx reblogged this from jubejoo
12. 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...
13. jubejoo reblogged this from proofmathisbeautiful
14. wipanthex reblogged this from proofmathisbeautiful
15. franksforeverything reblogged this from proofmathisbeautiful
I have no idea how this works, but this is awesome.
this is the perfect time for Pruitt..
18. alexlovesclay reblogged this from proofmathisbeautiful
19. do-math reblogged this from isomorphismes
20. kisslaughanddream reblogged this from priyasonyyy
21. slee1123 reblogged this from proofmathisbeautiful and added:
freakin sick! nature = math!!!!
22. yourweirdfriend reblogged this from dursmarnai
23. dursmarnai reblogged this from findlilyhere
24. almostloverr reblogged this from mori-majo and added:
the awesomest ever -
25. tumbpics reblogged this from andrewgreene
26. doctrinaperpetua reblogged this from proofmathisbeautiful
27. carlsauerdreamtacreepydream reblogged this from proofmathisbeautiful