Even if this happened, my model of what would happen is not hyperbolic. I think it would more or less be another phase shift which would last for some number of doublings before we hit diminishing returns or something else happened. A hyperbolic trajectory just seems like wishful thinking to me.
To be clear, I don’t think anyone relevant in this debate has suggested that growth will literally go to infinity. The claim is typically that we will proceed on a hyperbolic trajectory until we run into physical constraints, coupled with the claim that physical constraints aren’t very limiting. For example, many people think it’s plausible that with AI, we could get to >1000% world GDP growth before running out of steam.
To be clear, I don’t think anyone relevant in this debate has suggested that growth will literally go to infinity. The claim is typically that we will proceed on a hyperbolic trajectory until we run into physical constraints, coupled with the claim that physical constraints aren’t very limiting. For example, many people think it’s plausible that with AI, we could get to >1000% world GDP growth before running out of steam.