If two lightning bolts hit exactly the same place at exactly the same time in one frame of reference, is it possible that observers on other frames will see the bolts hitting at different times or at different places?

Answer 1

The so-called space-time interval between the two events, defined as:

S^2 = c^2 [difference in time]^2 - [spatial distance]^2

is always the same for all observers.

In this case S^2 = 0. This means that the time and distance that other observers see between the two events will be related according to:

distance = c times time difference

So, different times and different places is possible provided the above relation is satisfied.