It was my understanding that on SR that two moving observers both see the other person moving through time slower.
AFAIK, the first would see the second moving slower, and the second would see the first moving faster.
Observer A might see an event before Observer B. A's past would be B's future.
Oh, I see where you are going with this.
I'm not certain that it makes sense to compare subjective perceptions of past and future in this way. It's not like A can communicate the future to B in such a way that B would know of B's own future before it happens for B, at least not without tachyon communication. It's just that A is travelling into the future at a faster rate than B.
For instance, if Jack were to fall towards a black hole, and somehow survive for a while, he might see the universe changing before his eyes, where millions of years would change in a matter of seconds. Stars might zip around and age before his eyes. He wouldn't experience himself moving slowly, of course. This would all be horribly -- and mercifully -- fast for him.
Janet, OTOH, is on the starship, outside the worst of the gravity well. Janet would experience none of that. She would see John move more slowly. From her perspective, the stars would be still and age at their usual slow rate.
So, Jack's subjective experience of the universe would be different from Janet's. If one were to track their
subjective experience of change, for instance, one second per subjective second, they experience what is around them in different ways. In a subjective second for Jack, Janet might already have left Jack for dead, and have already died and had his great, great, great grandchildren. You could say that Jack "sees the future" of Janet, but not in any way that suggests Jack's past is Janet's future. Rather, Jack's future after the time of entry into the gravity well (one subjective second) is Janet's future (many centuries).
I don't quite know how to get someone's
past to be someone's future out of this, but I could be missing something.
I agree with this. Change is objective, and in a way we can "link" change with past, present, and future. What might exist would be the potential future. What exactly do we mean, though, that time is a feature of the universe? I've heard of SR describe spacetime as four dimensional, with space as three dimensions and time one dimension. Is that what you mean here? Is that correct regardless?
I think that time is a property of the universe in the sense that change is a property of the universe. Yes, one could say that spacetime (what is described by that 4D model of space and time) means that time is not something external to the universe, surrounding it and transcending it, but is a part of what the universe actually is. Time does not act on us, we simply have it in our natural power to change and to interact with other changing entities.
I think that Einstein's model is correct, or at least the mathematics works out to very tiny decimal places. One shouldn't confuse the abstract model for the reality, but it is clear that time is not something that one can reasonably consider apart from space. The two are intimately intertwined, and cannot reasonably be viewed separately.
So, yeah, "time" is a feature of the universe, and Einstein's spacetime model clearly supports this view.
eudaimonia,
Mark