syed
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- TL;DR Summary
- Intuition clashes with QM
I'm having trouble making sense of any of the interpretations of QM (I'm still new to this) and wanted clarity as to whether or not the things that I do think are implausible within each interpretation are actually implausible, in order to make sure that I'm not misunderstanding anything.
So, as far as I understand, the Copenhagen interpretation which can consist of a denial of "realism" states that there are no causal influences between measurement outcomes within an entangled pair. So if John observes a positive spin for his particle, he can predict that Alice will observe a negative spin, but this does not imply any sort of causal process occurs from one measurement result to another. The problem I am having with this idea is that before measurement, the Bell experiments ruled out local predeterminism. In other words, before either Alice or Bob makes their measurement, it is not locally predetermined for either of them to have a specific spin. In a very real sense, both locally have a 50/50 chance of a positive or negative spin. And yet, the results are always correlated. The wave function collapses as soon as either measurement occurs. Yet on the other hand, the Copenhagen interpretation doesn't necessarily say that this collapse process is actually real, and is merely an update of your knowledge. But this seems contradictory. If it is merely an update in knowledge, and nothing in Alice's measurement is affecting Bob's measurement outcome, then why are they always correlated? There doesn't seem to be a plausible explanation here that doesn't merely involve restating the problem.
In the Bohmian mechanics interpretation, the above problem is solved by positing a sort of action at a distance between measurement outcomes. In this case, a preferred frame of reference is proposed where there is an objective causal order to the measurement outcomes. One measurement outcome occurs before the other, and one of the measurement outcomes causes the other. Of course, this explicitly violates relativity. But what seems to be even more implausible is the idea of instantaneous action at a distance. How can a measurement outcome influence another without anything propagating between them? How can an object affect another where it is not? This seems extremely implausible if not contradictory.
There is a realistic model proposed by Eberhard here, which seems to rarely be talked about, which talks about a superluminal causal model similar to Bohmian mechanics. This of course would also violate relativity but proposes a finite speed influence that actually travels through space and time. This avoids the pitfalls of instantaneous action at a distance but also seems prima facie implausible since this speed would have to be at least 10,000 x the speed of light as tests like these show. (Reading the paper though, it seems that this speed limit only works if earth's speed relative to the preferred reference frame is < 10^-3, so would love clarification on this, since I'm not sure why one should pick a frame like that)
The many worlds theory gets rid of the issues with the former two, but then proposes an infinite number of undetectable worlds. How does this branching occur? When does this branching occur? Do all these worlds already exist, and if so, how? And most importantly, how can one make sense of the probabilities via the Born rule that we use to verify quantum mechanics, if every possible world occurs? As far as I know, no satisfactory answer to these questions, especially the last one, has been proposed, which again makes this very implausible.
Superdeterminism seems to postulate a global conspiracy of sorts where even though everything is local and deterministic, it is left unexplained as to why the particles are predetermined to be correlated in such a way where it looks as if they are influencing each other. In principle, it seems as if you can use superdeterminism to explain away any causal relationship, making this again seem implausible.
I'm still relatively new to learning about this stuff, and would love to know if I misunderstood any of these interpretations. If not, do I just have to live with knowing that there might be something true that seems implausible?
EDIT: I realize this probably should have been posted in the interpretations section of the forum, so if someone could move it there, that would be great
So, as far as I understand, the Copenhagen interpretation which can consist of a denial of "realism" states that there are no causal influences between measurement outcomes within an entangled pair. So if John observes a positive spin for his particle, he can predict that Alice will observe a negative spin, but this does not imply any sort of causal process occurs from one measurement result to another. The problem I am having with this idea is that before measurement, the Bell experiments ruled out local predeterminism. In other words, before either Alice or Bob makes their measurement, it is not locally predetermined for either of them to have a specific spin. In a very real sense, both locally have a 50/50 chance of a positive or negative spin. And yet, the results are always correlated. The wave function collapses as soon as either measurement occurs. Yet on the other hand, the Copenhagen interpretation doesn't necessarily say that this collapse process is actually real, and is merely an update of your knowledge. But this seems contradictory. If it is merely an update in knowledge, and nothing in Alice's measurement is affecting Bob's measurement outcome, then why are they always correlated? There doesn't seem to be a plausible explanation here that doesn't merely involve restating the problem.
In the Bohmian mechanics interpretation, the above problem is solved by positing a sort of action at a distance between measurement outcomes. In this case, a preferred frame of reference is proposed where there is an objective causal order to the measurement outcomes. One measurement outcome occurs before the other, and one of the measurement outcomes causes the other. Of course, this explicitly violates relativity. But what seems to be even more implausible is the idea of instantaneous action at a distance. How can a measurement outcome influence another without anything propagating between them? How can an object affect another where it is not? This seems extremely implausible if not contradictory.
There is a realistic model proposed by Eberhard here, which seems to rarely be talked about, which talks about a superluminal causal model similar to Bohmian mechanics. This of course would also violate relativity but proposes a finite speed influence that actually travels through space and time. This avoids the pitfalls of instantaneous action at a distance but also seems prima facie implausible since this speed would have to be at least 10,000 x the speed of light as tests like these show. (Reading the paper though, it seems that this speed limit only works if earth's speed relative to the preferred reference frame is < 10^-3, so would love clarification on this, since I'm not sure why one should pick a frame like that)
The many worlds theory gets rid of the issues with the former two, but then proposes an infinite number of undetectable worlds. How does this branching occur? When does this branching occur? Do all these worlds already exist, and if so, how? And most importantly, how can one make sense of the probabilities via the Born rule that we use to verify quantum mechanics, if every possible world occurs? As far as I know, no satisfactory answer to these questions, especially the last one, has been proposed, which again makes this very implausible.
Superdeterminism seems to postulate a global conspiracy of sorts where even though everything is local and deterministic, it is left unexplained as to why the particles are predetermined to be correlated in such a way where it looks as if they are influencing each other. In principle, it seems as if you can use superdeterminism to explain away any causal relationship, making this again seem implausible.
I'm still relatively new to learning about this stuff, and would love to know if I misunderstood any of these interpretations. If not, do I just have to live with knowing that there might be something true that seems implausible?
EDIT: I realize this probably should have been posted in the interpretations section of the forum, so if someone could move it there, that would be great
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