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There is suprising physics involved in making the perfect coffee. Here's a math-free dive down the rabbit hole of how fractals make the best cup of coffee, and answering just what the heck is a renormalization group.

I am trying to aim for quality over quantity with these videos. If you want to support the channel consider checking out my patreon: patreon.com/NotDavid

#physics #coffee #stem #stemeducation #maths

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Footnotes:
[1] 2:01 - More importantly its missing any concept of time. Fundamentally this doesn't change anything though but we will need to talk about this in a future video.
[2] 2:47 Link to code in github: https://github.com/notDavidsGit/perco...
please note im not a frequent user of github, if something doesn't work please let me know!
[3] 3:20 - An excelent reference for percolation on networks (which is a huge field in and of itself) is Mark Newmans Networks: An Introduction
[4] 6:53 - Here I make it sound like FSE are a problem we need to get rid of, but actually we can also exploit finite size effects to learn even more about the thing we are trying to study.
[5] 8:48 - In actuality there are a few factors working together and forest fires as a critical phenomena are a big area of research. For example, the density of the forest can also play a role.
[6] 11:22 - Here I call Renormalization Group theory 'simple' and ... yeah ... its not. Its probably one of the most difficult pieces of mathematics I've had to do so far. However, there are things about this particular example that make it simple. The hardest thing in RG theory is typically renormalizing things like energy, as it can accidentally become infinite (this is, as far as I know, the big problem of reconciling gravity and quantum theory). If you're familiar with partition functions then the issue can be rephrased as 'is the partition function self-similar under renormalization?'. However, here there is no associated energy and no partition function, so we really don't have to worry about that.
[7] 12:24 - I tried to rephrase this so many times and had trouble with it so apologies if you didn't get it. Essentially, imagine that we DIDN'T have those extra tiles flying in. Then, starting with a grid of 9x9, renormalzing it brings it down to 3x3, and then once more 1x1 and we are done. Thats 3 zoom out steps. Keep in mind in physics we are talking about renormalization from the size of atoms to the size of black holes, so we want a near infinite number of zoom out steps. So to keep the grid small enough for blender I just do the renormalization off screen and 'replenish' the grid. There is a little bit more to it than that but thats essentially it (for the physicists im recalculating the density from the renormalization flow and then drawing grids from the new probability).


CREDITS:
All animations, editing, scripting, story boarding are done by not David

MODELS:
Persona 4 TV world by bunnxarts

TUTORIAL SHOUT OUTS (youtube):
Black Hole Blender - Iridesium
Mandelbrot Fractal - Igot Zdrowowicz
Various Davinci Resolve things - Essential Video Editing
Various Geometry node things - Open Class

ADDITIONAL THANKS:
P. Freeman
J. McClean
ATLUS for making Persona and SMT

MUSIC (in order):
%% 0:00
Break It Down - Persona 5

%% 1:50
Track: After Rain — Zackross [Audio Library Release]
Music provided by Audio Library Plus
Watch:    • After Rain — Zackross | Free Backgrou...  
Free Download / Stream: https://alplus.io/after-rain

%% 3:44
9-bit Expedition - Lifeformed
Fastfall (Dustforce Soundtrack):
Music by Lifeformed. Available at https://lifeformed.bandcamp.com/album...

%% 7:12
Breather - Chris Doerksen
https://chrisdoerksen.bandcamp.com/al...

%% 10:32
- Loafy Building x Hoffy Beats – Sleepless Wonder
- Provided by Lofi Records
- Watch:    • Loafy Building x Hoffy Beats – Sleepl...  
- Download/Stream: https://fanlink.to/HighFlying

%% 14:13
- Kupla – Valley of Hope
- Provided by Lofi Girl
- Watch:    • Kupla – Valley of Hope  
- Download/Stream: https://fanlink.to/MelodyMountain

%%
Wake Up, Get Up, Get Out There - Persona 5

FOOTAGE (in order):
Persona 5 and 4
The Last Of Us Part II
Uncharted II