Eternalism is the view that many moments of time exists and each of these moment are equally privileged/unprivileged. I am trying to back up this view with SR, so I remember watching Brian Greene's documentary "the B-series of time" or something, where he used the spacetime loaf to illustrate how it is possible for an observer in the distant galaxy to 'see to our future' by moving towards the earths and 'see to the past' when he moves away relative to the earth(and this is all that is needed to be prove eternalism). My understanding of this prophecy fairy tale is a mere disagreement on simultaneity, time dilation for that moving observer makes him sees an event later what he would've seen at rest. But I can't see how 'seeing to the future' is possible. And how will I justify this mathematically? Lorentz transformation allows the calculation for the time interval between two events for different frame of references, what choice of coordinates and initial conditions will I need to adopt to prove that one can see 'the future' earlier than his original reference frame?