We've /already/ pulled this off actually (the entanglement across time aspect anyway), as I said in my longer comment, but we did so in a way that is a bit more complicated to explain albeit simpler to pull off. I can elaborate if you want but the point is that it can definitely be done as you rightly expected given the nature of spacetime.
The method used can even offer the impression that from our reference point the two particles never even initially interacted (which is of course crucial to achieving entanglement). Some argue that this possibility within the realm of temporal nonlocality is even more spooky than that which Einstein infamously described as "spooky action at a distance" regarding spatial nonlocality, but it's arguably more of an illusion in a sense as, as you demonstrably already know, all particles have their own "historians" and no reference point is more valid than another.
Good job on suspecting that this is possible. That said, this doesn't provide a mechanism to then send one particle back in time any more than purely spatial entanglement allows for one particle to teleport across space.
Whether or not entanglement can be used to send information back in time or across the universe faster than light, however, is arguably somewhat still open to debate. That's what my longer comment focused on.
If we can test this stuff at any distance on Earth, my first thought would be that there is no limit. But light seems slow if you scale up enough, so it's possible the limits are beyond our immediate field of awareness. Do they ever talk about needing a cognitive observer, or is it more like the tree will make the noise regardless?
Quantum Entanglement Time Travel Hypothesis
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We've /already/ pulled this off actually (the entanglement across time aspect anyway), as I said in my longer comment, but we did so in a way that is a bit more complicated to explain albeit simpler to pull off. I can elaborate if you want but the point is that it can definitely be done as you rightly expected given the nature of spacetime.
The method used can even offer the impression that from our reference point the two particles never even initially interacted (which is of course crucial to achieving entanglement). Some argue that this possibility within the realm of temporal nonlocality is even more spooky than that which Einstein infamously described as "spooky action at a distance" regarding spatial nonlocality, but it's arguably more of an illusion in a sense as, as you demonstrably already know, all particles have their own "historians" and no reference point is more valid than another.
Good job on suspecting that this is possible. That said, this doesn't provide a mechanism to then send one particle back in time any more than purely spatial entanglement allows for one particle to teleport across space.
Whether or not entanglement can be used to send information back in time or across the universe faster than light, however, is arguably somewhat still open to debate. That's what my longer comment focused on.
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If we can test this stuff at any distance on Earth, my first thought would be that there is no limit. But light seems slow if you scale up enough, so it's possible the limits are beyond our immediate field of awareness. Do they ever talk about needing a cognitive observer, or is it more like the tree will make the noise regardless?