n my inertial frame of reference S, event A occurs before event B. I measure these events to be separated by a time interval ∆tAB and a distance ∆xAB. (a) What are the conditions on ∆tAB and ∆xAB such that event A will be observed to occur before event B in all inertial frames, no matter what? (b) Suppose A and B both occur on the x-axis (i.e., y = z = 0) in my frame S. Consider an inertial frame S′ moving with velocity ⃗v = v x^ relative to my frame. Under what conditions would the two events be simultaneous in S′?

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In my inertial frame of reference S, event A occurs before event B. I measure these events to be separated by a time interval ∆tAB and a distance ∆xAB.


(a) What are the conditions on ∆tAB and ∆xAB such that event A will be
observed to occur before event B in all inertial frames, no matter what?


(b) Suppose A and B both occur on the x-axis (i.e., y = z = 0) in my frame
S. Consider an inertial frame S′ moving with velocity ⃗v = v x^ relative to my frame. Under what conditions would the two events be simultaneous in S′?

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