Hi guys, I thought lot about this and I need an opinion from people who will be able to give me an appropriate answer that may serve me well. My question is about the consequences of Lorentz transformations. So I hope you'll be able to correct if I'm wrong in some sentences and add what's been missing. So basically, following Lorentz transformations, all observers that are at rest with respect to the worldtube of an object X, will have the same event on its worldtube as their present, no matter how far away they are from the object speaking. But, as I've understood, in moving frames with respect to the object, the distant the frame is from the object, the distant the event on the worldtube will be in time. So it may be possible, for instance, that two objecs travel with the same velocity towards an object, but the distant one will have the 'more distant future event' in its present. (future relative to what the stationary observer regards as present of course). So my question is, if the previous sentences are correct, what happens during acceleration (change of frames)? Is it true that the greater distance between an accelerated frame and the object's worldtube is, the more time will pass relative to accelerated frame. By that I mean to really ask what does really happen while changing frames, and what role does the distance play here, since it certainly plays a role in defining 'a now moment' relative to an inertial frame. Sorry for the possible vagueness, if anybody wants a detailed explanation of the things I mean, I'll gladly write it. Thanks for your patience.