It seems to me that the first part of your post, that examines PC memory and such, simply states that (1) there are some algorithms (real-world process patterns) that take exponential amount of resources, and (2) if capability and resources are roughly the same thing, then we can unpack the concept of “significant improvement in capability” as “roughly a doubling in capability”, or, given that resources are similar to capability in such cases, “roughly a doubling in resources”.
Yes, such things exist. There are also other kinds of things.
It seems to me that the first part of your post, that examines PC memory and such, simply states that (1) there are some algorithms (real-world process patterns) that take exponential amount of resources, and (2) if capability and resources are roughly the same thing, then we can unpack the concept of “significant improvement in capability” as “roughly a doubling in capability”, or, given that resources are similar to capability in such cases, “roughly a doubling in resources”.
Yes, such things exist. There are also other kinds of things.