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But only upto some limit. Events that are timelike separated are always perceived to happen in the same order by any two observers. It's only events that happen farther away in space than in time from each other that can be perceived in different orders.

So, I don't think the relativity of simultaneity hurts the notion of an arrow of time that much. You don't get a single universal arrow of time, but there are still local arrows of time all over the place, ones that all observers agree on.




You are right, the trade off between space & time has limits.

And that limit is just another form of the “speed limit” of light.

But it is interesting that within that limit, space & time can be traded against each other.

All time delta’s can be traded to space delta’s (simultanaity), but no space delta, bring 3D can ever be fully traded for time.

Two events at different locations can never be made to appear at the same location, unless you could travel at the speed of light, which we can’t.




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