What are waves? How do we express them? How do we get to their general, differential form, and what can we do with it? And finally, what does it all tell us about the nature of the Universe?
00:00 Intro
01:21 A Simple Wave Function
06:44 Harmonic Motion and Nature’s Laws
08:53 Finding the Wave Equation
11:47 The Mixing of Waves
14:42 Echoes of the Universe
19:13 Outro
Music by Agneta Niemack:
https://en.agnetaniemack.com/
S. Strogatz on Differential Equations:
https://archive.nytimes.com/opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Procedural Ocean:
https://www.shadertoy.com/view/MdXyzX
CREDITS:
CMB image: ESA and the Planck Collaboration, CC BY 4.0 https://creativecommons.org/licenses/by/4.0, via Wikimedia Commons
Some illustrations from https://vecteezy.com