By the title of the topic I don't mean stopped in the sense when you're travelling at the speed of light. My question is very closely related to the Andromeda paradox and its implications. Consider two observers that are both in rest with some state X of the Andromeda galaxy. They have the same plane of simultaneity since they have the same state of motion. For instance, in their present they both have 'the decision of the aliens to invade Earth'. Now consider the situation in which one observer starts moving away from the Andromeda galaxy and another stays at rest with it. For the observer that is at rest we may say that the 'time on Andromeda passes' and he will have the next situation (the next timelike event) as present, the loading of the aliens in the spaceship. Since the plane of simultaneity for the observer who is moving away moves, he will have to have the event that preceded the loading of the aliens in his present frame. That is the event 'the decision of the aliens to invade Earth'. Can we say that for the observer who was first at rest, but then started moving away from the galaxy, the time, or the sequence of events stopped? Does this make sense or is there a solution for this derived paradox? I look forward to your answers.