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## Main Question or Discussion Point

This looks more like a relativity question, so let's post it here. I try to keep it short.

Alice and Bob approach each other, synchronize their clocks when they meet, then drift away from each other with relative speed 0.8c. No acceleration involved here. There is an entangled particle, Alice having one piece, Bob the other.

Both of them measure the particle's quantum state when their own clock shows 60 minutes. The one that performs the measurement first, gets the actual random result, and the one that does it later, gets just a mirror copy of this result.

In Alice's frame, Bob's clock shows only 36 minutes when Alices clock shows 60 minutes, so Alice thinks that she is the first to do the measurement. With similar argument, Bob thinks he is the first.

Do you think there is some way to solve the question who is actually first, within SR/GR or QM, or does the nature just not care about the order? Thanks.

Alice and Bob approach each other, synchronize their clocks when they meet, then drift away from each other with relative speed 0.8c. No acceleration involved here. There is an entangled particle, Alice having one piece, Bob the other.

Both of them measure the particle's quantum state when their own clock shows 60 minutes. The one that performs the measurement first, gets the actual random result, and the one that does it later, gets just a mirror copy of this result.

In Alice's frame, Bob's clock shows only 36 minutes when Alices clock shows 60 minutes, so Alice thinks that she is the first to do the measurement. With similar argument, Bob thinks he is the first.

Do you think there is some way to solve the question who is actually first, within SR/GR or QM, or does the nature just not care about the order? Thanks.