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I’m sure that’s the case. You can travel to other stars without ftl, it’s just a lot slower and probably one way. It’s really pretty limiting for society, for instance, without ftl an interstellar “civilization” is basically out of the question, you can’t govern another star system without at the very least faster communication.
Yeah, there’s no way we’re picking up alien radio broadcasts, not over the most produced by a star.
On the other hand, if a civilization were creating a Dyson sphere, or other large constructions, we’d be able to see those unusual elements in the light spectrum coming off the star. So it is conspicuous that we haven’t seen anything like that.