Eric Weinstein

You claim that there's only one number that satisfies a fixed point relationship according to that mapping.

which you call a loop.

There are actually three, zero, negative square root of two, and two.

You make the correct point that if you iterate that for numbers above the square root of two, it's gonna go off to infinity.

If you were to go below numbers of square root of two but above zero, it'll go towards zero.

Zero will go to zero.

And then you have the same thing below negative square root of two, it'll go off to negative infinity.

And above square root of two but below zero, I think it'll go off to zero, okay?

That thing,

is studied under fixed point theory.

And you can look up the Lefschetz fixed point theorem, the Kakutani fixed point theorem, the Brouwer fixed point theorem.

All of these are proofs that you have to have fixed points.

Now I thought, why does he keep doing this riff?

And then I realized that he's got a thing about everything is in motion.

So for him, it's unnatural and illogical, you use both words, that the square root of two would be fixed under this iterated experiment.

Now, that is not unnatural.

There is something, I hate to say it, it's called the hairy ball theorem.

Can we bring up the hairy ball theorem?

The hairy ball theorem says that you cannot comb the hair on a rambutan without creating a colic.

So let's see if we have any cool images of it.