[tlb]

> resources can only ever grow quadratically.

Growth can be cubic if you're expanding outwards at a constant speed and assuming (on a large enough scale) an even distribution of matter in space.

[lisper]

No. The total amount is cubic over time, but the growth is the derivative of this, hence, quadratic.

But this is irrelevant. The point is, resources are polynomial at best. They can never keep up with exponential growth in the long run, barring new physics.