Discussion
Time-order of two events can be changed by making a Lorentz transformation only if they occur in :
Answer: B
The time order can change only for events in the space-like region.
The invariant interval between two events is \(s^{2} = c^{2}\Delta t^{2} - \Delta x^{2}\). If the separation is time-like (\(s^{2} \gt 0\)), one event lies inside the other's light cone; a signal could connect them, and every inertial observer agrees on which came first. If it is light-like (\(s^{2} = 0\)), the events can be joined by a light ray, and again the order is fixed.
Only when the separation is space-like (\(s^{2} \lt 0\)) can a Lorentz boost with speed below c make \(\Delta t\) change sign. Such events cannot be causally connected, so no paradox arises. Exceeding the speed of light is not possible, which rules out the last option.
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