ahh, now i get it. i'll think about that
edit: i checked with some literature and as far as i understood it it is not possible for any object to determine it's movement compared to an absolute space. the reason lies in the symmetry of physical laws concerning transformation in another system.
I know that in a normal infinite universe that it should be impossible I am trying to get around that and wondering if it would work
I don't know a lot about it. I spend a lot of time reading about it but I took Calc IV this year. in other words most of the equations are beyond me.
I am confused why you say though if you leave out a third system they would come up with the same time.
Oh one last thing, I sent this same question to robosteve and he said something that I can not confirm or disprove.
quote(
Also, this scenario cannot occur. They do not meet "on the other side" of the Universe - in order to define what "the other side" is, you need a reference point which would need to be one of the machines involved, and in order for one to meet the other it would need to return to this original point. This means that in order for one spacecraft to come back to meet the other, it needs to circumnavigate the entire hypersphere, which is prohibited by relativity because (if I remember correctly, and hopefully somebody who knows more about relativity can verify or refute this) a hyperspherical Universe is a black hole with a Schwarzchild radius in four-space and two singularities (a Big Bang and a Big Crunch). The time it takes a light ray to circumnavigate the hypersphere is equal to the total time the Universe exists for, so these two spacecraft would never meet.
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also
(Yes, that is one possibility, which implies that it will also end in a Big Crunch. It is temporally infinite if and only if it is spatially infinite.)