#p-adic

Cool lemme get uhhh (a)&(b) combo?

yeah imma need like, 1/2 uhh... that derivative, uhh 3-piece of that Cantor 3-adic McFractalFood meal

Bruhat-Tits Trees.

Stop snickering. Mathematics is serious. 

jk/also,

Imagine if you will, a base 3 number (meaning the number has ones, threes, nines, … places instead of ones, tens, hundreds…) that’s all 2s but extending to the left of the decimal point.

x = …2222222222222

Adding 1 to this — making sure to carry if the sum in any place value gives three or more (because it’s in base 3 not base 10) — gives…

x + 1 = y

… 1 1 1 1 1 1 1 1

… 2 2 2 2 2 2 2 2 2

+ 1

———————————————————————

… 0 0 0 0 0 0 0 0 0

y = 0

… zero. Just zero.

So we have a massive number, basically infinity, that when one is added to it, becomes zero. This means that that number is actually -1 (since if x+1= 0, subtracting 1 from both sides gives x = -1)