The Markov requirement is a problem for saying, “A does not cause B, B does not cause A, they have no common cause, yet they are correlated.” That’s what you have to do to claim that no causal influence travels between spacelike separated points under single-world quantum entanglement. You can’t give it a consistent causal model.
Consider a single run of a two-photon EPR experiment. Two photons are created in an entangled state, they fly off at light speed in opposite directions, and eventually they each encounter a polarized filter, and are either absorbed or not absorbed. Considered together, their worldlines (from point of creation to point of interaction) form a big V in space-time, with the two upper tips of the V being spacelike separated.
In these zigzag interpretations, you have locally mediated correlations extending down one arm of the V and up the other. The only tricky part is at the bottom of the V. In Mark Hadley, there’s a little nonorientable region in spacetime there, which can reverse the temporal orientation of a timelike chain of events with respect to its environment without interrupting the internal sequence of the chain. In John Cramer, each arm of the V is a four-dimensional standing wave (between the atoms of the emitter and the atoms of the detector) containing advanced and retarded components, and it would be the fact that it’s the same emitter at the base of two such standing waves which compels the standing waves to be mutually consistent and not just internally consistent. There may be still other ways to work out the details but I think the intuitive picture is straightforward.
Does the A measurement and result happen first, or does the B measurement and result happen first, or does some other thing happen first that is the common cause of both results? If you say “No” to all 3 questions then you have an unexplained correlation. If you say “Yes” to either of the first two questions you have a global space of simultaneity. If you say “Yes” to the third question you’re introducing some whole other kind of causality that has no ordinary embedding in the space and time we know, and you shall need to say a bit more about it before I know exactly how much complexity to penalize your theory for.
you’re introducing some whole other kind of causality that has no ordinary embedding in the space and time we know
The physics we have is at least formally time-symmetric. It is actually noncommittal as to whether the past causes the present or the future causes the present. But this doesn’t cause problems, as these zigzag interpretations do, because timelike orientations are always maintained, and so whichever convention is adopted, it’s maintained everywhere.
The situation in a zigzag theory (assuming it can be made to work; I emphasize that I have not seen a Born derivation here either, though Hadley in effect says he’s done it) is the same except that timelike orientations can be reversed, “at the bottom of the V”. In both cases you have causal chains where either end can be treated as the beginning. In one case the chain is (temporally) I-shaped, in the other case it’s V-shaped.
So I’m not sure how to think about it. But maybe best is to view the whole of space-time as “simultaneous”, to think of local consistency (perhaps probabilistic) rather than local causality, and to treat the whole thing as a matter of global consistency.
The Markov requirement is a problem for saying, “A does not cause B, B does not cause A, they have no common cause, yet they are correlated.” That’s what you have to do to claim that no causal influence travels between spacelike separated points under single-world quantum entanglement. You can’t give it a consistent causal model.
Consider a single run of a two-photon EPR experiment. Two photons are created in an entangled state, they fly off at light speed in opposite directions, and eventually they each encounter a polarized filter, and are either absorbed or not absorbed. Considered together, their worldlines (from point of creation to point of interaction) form a big V in space-time, with the two upper tips of the V being spacelike separated.
In these zigzag interpretations, you have locally mediated correlations extending down one arm of the V and up the other. The only tricky part is at the bottom of the V. In Mark Hadley, there’s a little nonorientable region in spacetime there, which can reverse the temporal orientation of a timelike chain of events with respect to its environment without interrupting the internal sequence of the chain. In John Cramer, each arm of the V is a four-dimensional standing wave (between the atoms of the emitter and the atoms of the detector) containing advanced and retarded components, and it would be the fact that it’s the same emitter at the base of two such standing waves which compels the standing waves to be mutually consistent and not just internally consistent. There may be still other ways to work out the details but I think the intuitive picture is straightforward.
Does the A measurement and result happen first, or does the B measurement and result happen first, or does some other thing happen first that is the common cause of both results? If you say “No” to all 3 questions then you have an unexplained correlation. If you say “Yes” to either of the first two questions you have a global space of simultaneity. If you say “Yes” to the third question you’re introducing some whole other kind of causality that has no ordinary embedding in the space and time we know, and you shall need to say a bit more about it before I know exactly how much complexity to penalize your theory for.
The physics we have is at least formally time-symmetric. It is actually noncommittal as to whether the past causes the present or the future causes the present. But this doesn’t cause problems, as these zigzag interpretations do, because timelike orientations are always maintained, and so whichever convention is adopted, it’s maintained everywhere.
The situation in a zigzag theory (assuming it can be made to work; I emphasize that I have not seen a Born derivation here either, though Hadley in effect says he’s done it) is the same except that timelike orientations can be reversed, “at the bottom of the V”. In both cases you have causal chains where either end can be treated as the beginning. In one case the chain is (temporally) I-shaped, in the other case it’s V-shaped.
So I’m not sure how to think about it. But maybe best is to view the whole of space-time as “simultaneous”, to think of local consistency (perhaps probabilistic) rather than local causality, and to treat the whole thing as a matter of global consistency.
The Novikov self-consistency principle for classical wormhole space-times seems like it might pose similar challenges.
By the way, can’t I ask you, as a many-worlder, precisely the same question—does A happen first, or does B happen first?
My understanding was that Eliezer is more taking time out of the equation than worrying about which “happen[ed] first.”
His questions make no sense to me from a timeless perspective. They seem remarkably unsophisticated for him.