One of the bad things about open-ended growth, growing faster than exponentially, is that open-ended growth eventually leads to collapse.
How do you avoid that? Well, how have we avoided it? We've avoided it by innovation.
There's a theorem you can prove that says that if you demand continuous open growth, you have to have continuous cycles of innovation.
Theory says, sure, you can get out of collapse by innovating, but you have to innovate faster and faster.
The question then is, is this sustainable?