- #1
johnny_bohnny
- 67
- 0
I was looking at some space-time diagrams with the simultaneity surfaces for moving inertial observers in SR and looking at the picture an interesting thought came up to my mind. It is known that the causal structure of the universe is preserved in SR, and that cause always comes before the effect. But what about spacelike events? Can any two spacelike events in Minkowskian spacetime be simultaneous?
For instance, let's imagine that we have a rod that is not very long, let's say 1m in its rest frame. Let's imagine that the rod is actually very durable in time, so let's imagine that from the perspective of its rest frame we have a situation where one event on the first end of the road (which is spacelike separated from the other) exists 1 hour after the second event on the second half of the road. Can those two events be simultaneous, despite that one trails in time by a very big margin as viewed from its rest frame. To sum up, can any two non-causally related events be simultaneous, no matter how much they are separated in time as viewed from one frame.
For instance, let's imagine that we have a rod that is not very long, let's say 1m in its rest frame. Let's imagine that the rod is actually very durable in time, so let's imagine that from the perspective of its rest frame we have a situation where one event on the first end of the road (which is spacelike separated from the other) exists 1 hour after the second event on the second half of the road. Can those two events be simultaneous, despite that one trails in time by a very big margin as viewed from its rest frame. To sum up, can any two non-causally related events be simultaneous, no matter how much they are separated in time as viewed from one frame.