> I don't know what you think recursive improvement is

The ability for a model to improve itself over time without outside intervention. As yet, no models yet have this capability, and LLMs specifically what with how they are constructed, are not likely to ever have it. They are frozen in carbonite at the time of their training.

That's not to say they can't use skills to appear somewhat worldly, things like searching the internet and what have you, but if you ask a model to strictly stick to data in it's training, it will do that and it will be stuck in whatever time in which it was built.

Energy is conserved, gravity exists, and LLMs aren't intelligent.