It rests on the hypothesis that the AI is not only dangerously intelligent but able to self-improve to levels where it can more-or-less direct an entire civilization’s worth of material infrastructure towards its own goals. At that point, it would have an easy time getting a space program going, mining resources from the rest of its solar system, and eventually, achieving interstellar existence (via the sheer patience to cross interstellar distances at sublight speeds).
It rests on the hypothesis that the AI is not only dangerously intelligent but able to self-improve to levels where it can more-or-less direct an entire civilization’s worth of material infrastructure towards its own goals. At that point, it would have an easy time getting a space program going, mining resources from the rest of its solar system, and eventually, achieving interstellar existence (via the sheer patience to cross interstellar distances at sublight speeds).