In: Physics
Consider two events which occur simultaneously in frame S. Will these events be simultaneous in all frames S'?
Event A occurs before event B in frame S. Will the time ordering of these two events be the same in all frames S'?
No, these two events will not be simultaneous in all frames S'. This comes out of as a consequence from the recommended set of frames in special relativity that are related by the lorentz transformation and with time coordinates defined by the Einstein's convention. Also if the two frames are in different position coordinates irrespective of what coordinate system we are using will be thrown out of simultaneity.
The answer to this problem can't a simple yes and no. We can state it under conditions as, the order of events A and B is same in all refrence frames if and only if these events can be connected by some signal that travels at speeds lower than that of light in free space. In all other cases these events will not appear to be in same order and their ordering will be changed.