Not worth the conjecture...even hypothetically, a baseball can't travel at the speed of light. I know I'm supposed to accept the premise that it can, but that's basically like me asking you to do math under the premise that 1 + 1 = 4. You could try, but your solutions would be all fucked up.
Same here. By ignoring the fact that a material object can't travel at light speed, we could come up with all sorts of thought experiments like the one you propose, but all of them would end up being fucked up.
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