Terence Tao
π€ SpeakerAppearances Over Time
Podcast Appearances
And if it can fit to reasonable accuracy,
almost all of your observations.
I mean, the more compression that you make, the better your theory.
Einstein had a quote like that, the most incomprehensible thing about the universe is that it is comprehensible.
Right.
And not just comprehensible.
You can do an equation like E equals MC squared.
There is actually some mathematical possible explanation for that.
So there's this phenomenon in mathematics called universality.
So many complex systems at the macro scale are coming out of lots of tiny interactions at the macro scale.
And normally, because of the common form of explosion, you would think that the macroscale equations must be exponentially more complicated than the microscale ones.
And they are, if you want to solve them completely exactly.
Like, if you want to model...
all the atoms in a box of air.
That's, like, Avogadro's number is humongous, right?
There's a huge number of particles.
If you actually have to track each one, it'll be ridiculous.
But certain laws emerge at the microscopic scale that almost don't depend on what's going on at the macroscale, or only depend on a very small number of parameters.
So if you want to model a gas of, you know,
quintillion particles in a box.