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If event P and event Q are space - like related and event Q and event R are space - like related, must P and

If event P and event Q are space-like related and event Q and event R are space-like related, must P and R be space-like related? Why or why not?(b) If event P and event Q are simultaneous in some frame and event Q and event R are simultaneous in some other frame, must P and R be simultaneous in some frame? Why or why not?

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