Is there a fundamental flaw in our understanding of space and conservation laws?

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The discussion centers on the implications of Bell's theorem and the many-worlds interpretation (MWI) of quantum mechanics, questioning whether our observations can be trusted. Participants argue that MWI requires us to deny the reality of physical objects' positions based on experimental outcomes, suggesting a fundamental flaw in our understanding of space and conservation laws. The conversation highlights the distinction between perceived states and actual states, emphasizing that observations may not reflect complete reality. The debate also touches on the nature of wave functions and the interpretation of quantum states, suggesting that beliefs about particle states can lead to misconceptions. Ultimately, the discourse raises critical questions about the relationship between observation, reality, and the theoretical foundations of quantum mechanics.
  • #31
vanesch said:
He did. Actually in his book "Speakable and unspeakable..." he mentions the MWI approach, which he dislikes. However, I don't recall from the top of my head whether he realized that locality could be preserved.

He doesn't discuss MWI much. That in itself is telling. It's included as one of the six in his article "six possible worlds of qm", which is a fantastic article that anyone reading this thread should look at. Quite possibly it's the very best single-paper introduction to the various possible interpretations of QM and what the motivation for each is.

Interestingly, Bell classifies MWI as the "romantic" counterpart to the de Broglie - Bohm pilot wave theory. One gets the flavor of Bell's assessment of MWI from comments like this

"What happens to the wave [in the 2 slit experiment] where there is no flash? In the pragmatic approach the parts of the wave where there is no flash are just discarded... and this is effected by rule of thumb rather than by precise mathematics. In the pilot wave picture the wave, while influencing the particle, is not influenced by the particle. Flash or no flash, the wave just continues its mathematical evolution... even where it is 'empty' (very roughly speaking). In the MWI also the wave continues its mathematical way, but the notion of 'empty wave' is avoided. It is avoided by the assertion that everywhere that there *might* be a flash... there is a flash. But how can this be, for with one electron surely we see only one flash, at only one of the possible places? It can be because the world multiplies! After the flash there are as many worlds (at least) as places which can flash. In each world the flash occurs at just one place, but at different places in different worlds."

and

"It is easy to understand the attraction of the three romantic worlds [which are the Copenhagen view, the view that it is at the mind-matter boundary that wave function collapse takes over from linear Sch evolution, and the MWI] for journalists, trying to hold the attention of the man in the street. The opposite of a truth is also a truth! Scientists say that matter is not possible without mind! All possible worlds are actual worlds! Wow!"

Later he writes: "The 'many worlds interpretation' [the scare quotes perhaps implying that he, like vanesch and I, think this is a misnomer?] seems to me an extravagant, and above all an extravagantly vague, hypothesis. [The vagueness he is referring to is probably the preferred basis problem, which he talked about a few paragraphs earlier] I could almost dismiss it as silly. And yet... It may have something distinctive to say in connection with the [EPR puzzle], and it would be worthwhile, I think, to formulate some precise version of it to see if this is really so." I assume by the last bit he means what we all recognize in some form or other, that MWI purports to be the only local theory that is "consistent" with the EPR/Bell/Aspect data. (I put "consistent" in scare quotes because the theory isn't technically consistent with the data in the ordinary sense, but rather purports to explain why we would have a subjective delusion to *think* the data were what we thought they were, even though, in fact, those experiments didn't actually have those Bell-inequality-violating outcomes.)

Perhaps one has to be a bit of a Bell connoisseur to appreciate this, but a lot of the sentences above (particularly those involving exclamation points) exude a kind of subtle dismissiveness that Bell almost certainly felt toward MWI. To him, it simply couldn't be taken seriously.



Let us not forget that Bell was favorable to Bohm's approach (and those people seem to have an avid disliking of MWI :biggrin: ).

Indeed. The final sentences of the 6 worlds paper read: "In my opinion the pilot wave picture undoubtedly shows the best craftsmanship among the pictures we have considered. But is that a virtue in our time?"

The last sentence is somewhat obscure, but I'm pretty sure he is just bemoaning how few other sensible people (i.e., those "favorable to Bohm's approach") he found in physics.



BTW, this is not MY PoV. I do like Bohmian mechanics, as it is also conceptually enlightning. (the very fact that it was a counter example to something a mastodont as von Neumann thought was impossible, illustrates the feat).
However, I also like relativity, and both go badly together.

Whereas relativity goes well with MWI? Please. Only if you gut it within an inch of its life.

Anyway. Vanesch, I must say I miss the old days when we actually had interesting discussions. I guess nothing's changed and we've been there, done that, so it feels like a rehearsed performance with nothing to learn. But your latest reply above seems to give the impression that you think I haven't understood something about your arguments against my objection to MWI. But that's not true. I understand your position and arguments perfectly. It's just that I don't think you actually refute my argument. Instead, with practically everything you say (which is how this got started again, yes?) you admit exactly what I assert about MWI. So... I'm happy to agree to disagree, but don't be pretending that the reason I disagree is because I haven't yet grasped your cogent arguments, OK?
 
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  • #32
vanesch said:
He did. Actually in his book "Speakable and unspeakable..." he mentions the MWI approach, which he dislikes. However, I don't recall from the top of my head whether he realized that locality could be preserved. Let us not forget that Bell was favorable to Bohm's approach (and those people seem to have an avid disliking of MWI :biggrin: ).


Oops, I meant also to ask: does anyone else remember Bell discussing MWI in any other papers? I honestly can't think of any paper other than 6 worlds where he even discusses it. As I said before, I think that is telling.
 
  • #33
JesseM said:
I was mostly just using "local realism" because wm was using it to describe his own ideas about local hidden variables, and I wanted to make sure that he was clear on the fact that such local hidden variable explanations can be ruled out according to Bell's theorem. But in my mind I was vaguely thinking that "realism" referred to the assumption that every experiment would have a unique outcome, ...

I think it's a mistake to pick up the terminology of other people who either (a) don't know what they're talking about or (b) kind of half know but don't understand the issues well enough to scrutinize the appropriateness of the terminology and hence themselves just pick up on the terminology that everyone else uses.

In this particular case, I think it's demonstrable that none of the possible things that one might think might be meant by "realism" are actually premises in Bell's derivation. Many people think the "realism" means some kind of hidden variable assumption (that each particle possesses pre-set values for how several distinct possible spin measurements will come out if performed... "instruction sets" as Mermin calls them). But this is wrong. You don't need that as an assumption to get to an inequality. (Bell often cites the EPR argument *from* locality *to* such hidden variables as "part one" of his two part argument, the second part of which is just the derivation of the inequality from the hv's. The point is, it's a two step argument, but the only actualy logical input/premise is locality. And anyway, as you know, you can get the CHHS inequality without ever assuming such deterministic hv's. It follows straight away from locality alone.)

You mention that maybe "realism" means the anti-MWI assumption that experimenters don't split into multiple copies. I don't think it's necessary to bring in anything like that as an additional assumption. What the Bell inequality constrains is the correlations between the *actual outcomes* of experiments done by Alice and Bob. To whatever extent you deny that those experiments have definite outcomes, you aren't finding an explanation *for those correlations*, but rather concocting a rationalization for rejecting (as delusions or subjective fantasies or whatever) what we thought were the real correlations. So it really doesn't make sense to make a fuss about this qua special extra assumption.

What else could it mean? Who knows. People who use it seem to slide back and forth between it meaning "deterministic hidden variables" and "there's an external physical reality", and too frequently they infer the falsity of the second from the various proofs of the impossibility of the former. Once you see that for the equivocation that it is, it's shameful and stupid. But the terminology "local realism" only helps to perpetuate the confusions that lead to this. So, I would recommend dropping it and being more precise. A good place to start would be reading Bell's numerous articles and paying attention to his careful choice of terminology!


I don't know if Bell ever noticed the loophole that locality can be preserved if you allow each experimenter to split into multiple copies--if he did, does anyone know which paper he addressed this in?

Loophole??! That's like saying there's a loophole in the measurement of the speed of light because maybe, although we *saw* that toothed wheel rotating and measured its rotation rate to be such and such, *really* we're brains in vats and that was just a delusion fed to us by evil scientists and really light moves at 3 miles per hour. Such a thing is *way* too "silly" and involves way too much *dismissing* of the empirical data in question, to be called a "loophole".
 
  • #34
ttn said:
You mention that maybe "realism" means the anti-MWI assumption that experimenters don't split into multiple copies. I don't think it's necessary to bring in anything like that as an additional assumption. What the Bell inequality constrains is the correlations between the *actual outcomes* of experiments done by Alice and Bob. To whatever extent you deny that those experiments have definite outcomes, you aren't finding an explanation *for those correlations*, but rather concocting a rationalization for rejecting (as delusions or subjective fantasies or whatever) what we thought were the real correlations. So it really doesn't make sense to make a fuss about this qua special extra assumption.
It seems to me that this is really a philosophical argument. I could reply that each copy of Alice and Bob *does* see a definite outcome, and likewise, once they have time to communicate, they also see a definite outcome for whatever copy they ending up sharing the same "world" with, so the correlations they see are perfectly "real" (if the universe had a different rule for 'mapping' copies of Alice to copies of Bob, the correlations seen by a typical copy could be different, so the correlations are a consequence of objective physical laws rather than something subjective). It's true that there are multiple versions of Alice and Bob in each experiment, but offhand I don't see why this is any more of an objection to the notion of "definite outcomes" than the fact that, in a spatially infinite universe, there is sure to be another region of space somewhere where there is are exact physical duplicates of Alice and Bob who share identical past light cones up until the moment of measurement, at which point they get different results than "our" Alice and Bob. You could say "yes, but that's not really the same experiment, it happened in a different region of space", but can't a many-worlds advocate say that the other "copies" of Alice and Bob are in a different region of Hilbert space? Of course, this is also a philosophical argument about what we mean by the words "real" and "definite outcome", but my point is that your denial that these words can be applied to the MWI is equally philosophical.
ttw said:
Loophole??! That's like saying there's a loophole in the measurement of the speed of light because maybe, although we *saw* that toothed wheel rotating and measured its rotation rate to be such and such, *really* we're brains in vats and that was just a delusion fed to us by evil scientists and really light moves at 3 miles per hour. Such a thing is *way* too "silly" and involves way too much *dismissing* of the empirical data in question, to be called a "loophole".
But the brain-in-the-vat scenario involves dismissing the possibility that our sensory experiences tell us anything about the laws of nature, or that they are genuine "empirical data". In the MWI interpretation your experience isn't a "delusion" in the same way, it's just limited to a subset of everything that is "really going on" (much the same is true of the Bohm interpretation, where you will never have access to the full information about all the hidden variables). Scientists in the MWI can discover the mathematical form of the laws of quantum mechanics through experiment, just as they can in single-universe interpretations.

And when you say the MWI involves dismissing empirical data, what is that data exactly? Do you think there's any empirical data we see that we would not expect to see if the MWI were in fact true? I suppose this question is a little ill-defined because of problems relating the MWI to our observed empirical probabilities, like the preferred basis problem...my point is just that if we have some general notion of physical systems splitting into multiple copies all the time in some lawlike way, there's no reason to expect such a universe to necessarily look any different 'from the inside' than a non-splitting universe with probabilistic laws. So, if some sort of splitting-universe solution can in principle explain the correlations in the Aspect/EPR experiments in a lawlike way (as opposed to a 'conspiratorial' way like the brain-in-a-vat scenario) without violating locality, there is no good reason for dismissing this as a possible "loophole", even if one's personal philosophical views incline one to consider it very implausible.
 
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  • #35
The following quotes are probably a correct analysis (I accept your authority as a Bell connoisseur) that Bell (as many other people) had a serious emotional disliking for MWI. It is - as I often said - the main (and often only) objection people have against MWI. Bell was amongst them.

ttn said:
Perhaps one has to be a bit of a Bell connoisseur to appreciate this, but a lot of the sentences above (particularly those involving exclamation points) exude a kind of subtle dismissiveness that Bell almost certainly felt toward MWI. To him, it simply couldn't be taken seriously.

Indeed. The final sentences of the 6 worlds paper read: "In my opinion the pilot wave picture undoubtedly shows the best craftsmanship among the pictures we have considered. But is that a virtue in our time?"

The last sentence is somewhat obscure, but I'm pretty sure he is just bemoaning how few other sensible people (i.e., those "favorable to Bohm's approach") he found in physics.



Whereas relativity goes well with MWI? Please. Only if you gut it within an inch of its life.

Well, MWI goes as well with relativity as quantum theory in general. That means, with SR, things are more or less fine ; with GR, in as much as the background is fixed, it is fine, and in as much gravity must be considered as a quantum phenomenon, nobody knows.

But at least with SR, we can cope, and the proof is that EVERYTHING in the formalism of quantum theory remains Lorentz-invariant.

Anyway. Vanesch, I must say I miss the old days when we actually had interesting discussions. I guess nothing's changed and we've been there, done that, so it feels like a rehearsed performance with nothing to learn.

Well, that is because your contributions are only statements where you want to argue about the silliness of MWI - arguments which have been analyzed, and which nevertheless come back each time when you post about it.

But your latest reply above seems to give the impression that you think I haven't understood something about your arguments against my objection to MWI. But that's not true. I understand your position and arguments perfectly. It's just that I don't think you actually refute my argument. Instead, with practically everything you say (which is how this got started again, yes?) you admit exactly what I assert about MWI. So... I'm happy to agree to disagree, but don't be pretending that the reason I disagree is because I haven't yet grasped your cogent arguments, OK?

This cannot be, because you've never countered my argument which is the following:

Observations don't need to correspond to "reality". In fact, the concept of reality has not much to do with observations: observations are just that: observations. The role of a reality-hypothesis is to explain-describe-predict what kind of observations one can make (and to give a kind of "mechanism-behind-the-screens" that is responsible for us making observations).

So:
1) IF one has such a reality-hypothesis which can explain our observations, then that seems to be an acceptable reality-hypothesis (as it is its main objective and reason in the first place to make it)

2) With some thinking, it is not impossible to set up a reality-hypothesis which is not in a 1-1 relationship with what is observed. This is of course a bit harder than if one takes there to be a 1-1 relationship, but there is no deep logical or philosophical reason why reality can only be what is observed.

Now, your argument is exactly this:
that MWI suffers from the following defects:

1) although you recognize that MWI can explain all of our observations, you consider it not to be an acceptable reality-hypothesis because these observations are not "real" (or not all that is real or whatever).

2) You claim that, MWI saying that observations do not correspond precisely, in a 1-1 way, with the reality hypothesis in MWI, it has invalidated the very observations on which it was build - as if, from those observations, we were not allowed to deduce, with some thinking, such a hypothesis.

As such, this argument is not an argument which makes MWI (logically) self-contradictory, which you claim.

Because there is a difference between disliking a certain reality-view (such as MWI, or Bohmian mechanics or whatever), and claiming that it is self-contradictory. The argument you put forward does not show MWI to be self-contradictory. My argument against Bohmian mechanics (that it is not lorentz-invariant in its inner workings), doesn't render it self-contradictory either.

We both have different priorities, which lead us to different preferences. My preferences are clear: I want to accept everything, and I am ready to twist and turn my reality-hypothesis in such a way to arrive at the following:
have the most succinct set of general, universal principles, from which to deduce as much formal machinery as possible. I think that is the essence of Occam's razor (others interpret this differently). The reason for that is that I think that it is the most productive way of doing physics: have a limited number of principles (no matter how counter-intuitive), from which the machinery follows.

As such, because apart from the postulates of relativity, I don't have any principle from which to derive all the experimentally confirmed predictions of relativity, I do not want to let it go. I wouldn't mind trading it for another principle which gives you the same observed results, but I don't know of any.
So if we drop it, we would have to put in by hand different things in such a way as to make things come out as if a certain principle held. THIS is the kind of thing I want to avoid.
Another postulate I like a lot is the superposition principle, because starting from that postulate, almost all of the hilbert space machinery of quantum theory follows. Two postulates: superposition + relativity, and we can derive almost the entire formal machinery of modern physics! I find that very powerful, and I don't want to mess with this, as long as we don't have an equally powerful machinery in one way or another.
You only need a few other principles, and we fill in the structure entirely.


You, on the other hand, have a priority for "what we see is equal to the reality hypothesis". Now, that could be a good principle, only, you cannot derive anything formally from that principle. So for me, that is only very low on my list of desires, but you put it on top.
Putting that on top, you have to put in by hand almost all of modern physics. What you get for free is something like Newtonian mechanics, and now you have to fill in, by hand: the entire quantum-mechanical machinery of the wavefunction (that is not based upon any kind of principle: it is just put in by hand to make things come out equivalently with quantum mechanics), and you have to put in relativistic effects (Lorentz ether theory effects) in order to mimic relativity.

Maybe that is a good approach. It is certainly not an erroneous approach, but I consider it much less powerful. You cannot derive the entire Bohmian structure from a few principles. You have to plug in things by hand to make them come out that way. But, you have, that is to be recognized, a much clearer and simpler "reality view".

Hence we have two different preferences. You put "reality = observation" on the forefront, I put "small set of principles generate formalism" on the forefront. Each his liking.

Now, if I may add one comment: I think that Bohmians are such avid MWI-dislikers, because MWI has taken out a major argument they thought they had: they thought that there was a loophole-free argument to put relativity aside. They thought that it was shown, once and for all, that the main criticism of Bohmian mechanics (namely it not being Lorentz-invariant), was a dead argument, as Bell's theorem showed that quantum predictions were incompatible with relativity. Quantum predictions without Bohmian mechanics. If quantum mechanics ITSELF killed relativity, then, of course, the way was cleared for Bohmian mechanics, and its main criticism fell on the floor. Relativity was untenable if quantum theory was to be right. And hence, no more requirement for Lorentz invariance.

And then, we had these crazy MWI-ers which came up with a view on quantum mechanics which circumvented Bell's theorem, and kept quantum theory local ! Ok, they sacrificed a lot in the battle, that is true, BUT the water-tight argument that quantum mechanical predictions were in any case not compatible with relativity was now with a hole in, called MWI. It became an option, to reject relativity or not.
 
  • #36
I agree entirely with what JesseM writes here :approve:

MWI is *a* view on how *a formalism* works. That is, one had added a kind of "reality-hypothesis" to the formalism, and MWI does this in a minimalist way. Whether one finds this plausible or not, whether one finds it in agreement with one's philosophical convictions or not is a different matter. But one cannot deny that this view exists.

There is in fact not much use in attacking such a view. One can find it useful or less useful.

JesseM said:
It seems to me that this is really a philosophical argument. I could reply that each copy of Alice and Bob *does* see a definite outcome, and likewise, once they have time to communicate, they also see a definite outcome for whatever copy they ending up sharing the same "world" with, so the correlations they see are perfectly "real" (if the universe had a different rule for 'mapping' copies of Alice to copies of Bob, the correlations seen by a typical copy could be different, so the correlations are a consequence of objective physical laws rather than something subjective). It's true that there are multiple versions of Alice and Bob in each experiment, but offhand I don't see why this is any more of an objection to the notion of "definite outcomes" than the fact that, in a spatially infinite universe, there is sure to be another region of space somewhere where there is are exact physical duplicates of Alice and Bob who share identical past light cones up until the moment of measurement, at which point they get different results than "our" Alice and Bob. You could say "yes, but that's not really the same experiment, it happened in a different region of space", but can't a many-worlds advocate say that the other "copies" of Alice and Bob are in a different region of Hilbert space? Of course, this is also a philosophical argument about what we mean by the words "real" and "definite outcome", but my point is that your denial that these words can be applied to the MWI is equally philosophical. But the brain-in-the-vat scenario involves dismissing the possibility that our sensory experiences tell us anything about the laws of nature, or that they are genuine "empirical data". In the MWI interpretation your experience isn't a "delusion" in the same way, it's just limited to a subset of everything that is "really going on" (much the same is true of the Bohm interpretation, where you will never have access to the full information about all the hidden variables). Scientists in the MWI can discover the mathematical form of the laws of quantum mechanics through experiment, just as they can in single-universe interpretations.

And when you say the MWI involves dismissing empirical data, what is that data exactly? Do you think there's any empirical data we see that we would not expect to see if the MWI were in fact true? I suppose this question is a little ill-defined because of problems relating the MWI to our observed empirical probabilities, like the preferred basis problem...my point is just that if we have some general notion of physical systems splitting into multiple copies all the time in some lawlike way, there's no reason to expect such a universe to necessarily look any different 'from the inside' than a non-splitting universe with probabilistic laws. So, if some sort of splitting-universe solution can in principle explain the correlations in the Aspect/EPR experiments in a lawlike way (as opposed to a 'conspiratorial' way like the brain-in-a-vat scenario) without violating locality, there is no good reason for dismissing this as a possible "loophole", even if one's personal philosophical views incline one to consider it very implausible.
 
  • #37
vanesch said:
The following quotes are probably a correct analysis (I accept your authority as a Bell connoisseur) that Bell (as many other people) had a serious emotional disliking for MWI. It is - as I often said - the main (and often only) objection people have against MWI. Bell was amongst them.

I think you misunderstood. Bell's (and my) disliking of MWI is not "emotional", or at least not fundamentally emotional. It's true, I have negative emotions about MWI -- but that's the *effect* of my thinking it is a bad theory by professional physics standards, not the other way round. I am quite certain the same is true for Bell. He thought that MWI couldn't be taken seriously as a scientific theory, not because he arbitrarily "hated" it, but because he thought carefully about what scientific theories are supposed to do. He hated it then because it failed to do those things and instead tried to play some pseudo-scientific mindgame.


Well, MWI goes as well with relativity as quantum theory in general. That means, with SR, things are more or less fine ; with GR, in as much as the background is fixed, it is fine, and in as much gravity must be considered as a quantum phenomenon, nobody knows.

But at least with SR, we can cope, and the proof is that EVERYTHING in the formalism of quantum theory remains Lorentz-invariant.

I believe there is more to SR than Lorentz invariance. For example, I can trivially write down a fully Lorentz invariant version of Bohmian mechanics, simply by putting in an "ether" (preferred frame) but then giving some made-up Lorentz invariant dynamical law which that ether is supposed to satisfy. It's exactly the same as having air for sound waves to propagate in: the fact that there is a "preferred frame" for sound waves (in which, e.g., they propagate isotropically) doesn't violate Lorentz invariance, because the preferred frame is made real by positing some *matter* (the air) which defines that frame, and that is fully consistent with Lorentz invariance so long as one can give some Lorentz invariant laws for that new matter. So, do the same thing for the ether -- instead of regarding the "preferred frame" as somehow fundamental to the structure of spacetime, you just say there's this new kind of matter which obeys Lorentz invariant laws, but there's some one frame in which the matter is "at rest".

You see that's possible, right? So would you therefore regard such a theory as fully consistent with SR? I think most people (including myself) wouldn't. It's cheating, somehow. And the "somehow" is what you need to flesh out to understand why "consistency with SR" and "Lorentz invariance" are not precisely the same thing.

But that wasn't even really the point I was making. As we've already covered, in MWI, there is no such thing as matter moving and interacting in 4-D spacetime. That exists only as a delusion in the minds of the "subjective conscious observers"
which also play such an important role in MWI. So it's very odd to say that the theory is fully special relativistic, when what SR is all about is the structure of that 4D spacetime. Or the same point a slightly different way: Lorentz invariance is *fundamentally* about the transformation properties of 4-D spacetime coordinates, i.e., the coordinates of events in 4D spacetime. But according to MWI there *are* no events in 4D spacetime.

So the point is that MWI is "consistent with SR" in about the same way it's "consistent with the data acquired in the Aspect experiment." In both cases, the theory provides a kind of fairy tale which helps you understand how you could come to be "validly deluded" into thinking the things in question... but that is not exactly the same as a theory *explaining* the things in question... at least not in the normal, historically practical sense of those terms.

But please take this as merely a recap of the same things I've been saying over and over again, which I know you don't accept. So don't feel the need to argue against them yet again, or accuse me of failing to understand your arguments. :rolleyes:



Well, that is because your contributions are only statements where you want to argue about the silliness of MWI - arguments which have been analyzed, and which nevertheless come back each time when you post about it.

I of course would say the same thing in reverse: despite my having made quite clear why it's insane to take MWI seriously, you nevertheless come back to it each time I poke my head in this forum to see what's going on. (And no doubt you're doing so *between* those times as well, if you believe in such a thing as "what's happening when I'm not looking")... :smile:


Observations don't need to correspond to "reality". In fact, the concept of reality has not much to do with observations: observations are just that: observations. The role of a reality-hypothesis is to explain-describe-predict what kind of observations one can make (and to give a kind of "mechanism-behind-the-screens" that is responsible for us making observations).

You equate "observation" with "subjective inner-theater impression" or some such. I take observation to mean that something (read: some*thing*) was actually *observed*. If you see a pointer pointing left, you saw *a pointer pointing left*. (This is indeed a philosophical question, as JesseM has said. I'm in no way ashamed about that -- and anyways, it's not like *my* position on that philosophical question is any more philosophical than *your* position on that same philosophical question. So it's silly to think that you could argue against my position by labeling it "philosophical". It's just like the stupidity of people who say that Bohmian Mechanics is pointless/unscientific because it is "philosophical", which I guess is based on the idea that Bohm has the "preposterous, philosophical, unscientific" idea that there is actually an external physical world that it is the job of physics to describe... Anyway...)

This is exactly the difference between our views here, and it is a philosophical one. I think it is settled -- long before we get to any advanced topics like the sub-structure of atoms or how to interpret Schroedinger's equation -- that when we perceive we are actually perceiving a real physical world of physical objects external to our bodies. Those external physical objects (and/or the "matter" they're made of) are real. That is just completely *settled* and non-negotiable. The job of physics is then to understand in further, microscopic detail, what the properties of these entities/matter are, how they interact, what smaller pieces they are made of and how those interact, etc.

For you, as I understand it and by contrast, all of that stuff is left as completely negotiable. For you physics, isn't basically about explaining the hidden underlying structure of directly perceivable entities (or even directly perceivable attributes of those entities, such as their positions), but rather it is about explaining how we might come to have certain "subjective inner theater impressions". That is, you want physics to simultaneously address questions such as "why are atoms about an angstrom across?" and "is there really an external world that my experience is experience *of*?" As you know, I find this bizarre. But, for whatever it's worth, that's at least what our basic philosophical difference is.


Now, your argument is exactly this:
that MWI suffers from the following defects:

1) although you recognize that MWI can explain all of our observations, you consider it not to be an acceptable reality-hypothesis because these observations are not "real" (or not all that is real or whatever).

No, that's not right. I don't recognize that MWI can explain all of our observations. I think it fails to explain them. Instead of explaining them, it attempts to explain them *away* -- in the sense of telling a story about why I shouldn't have taken those apparent observations to be genuine observations. But as I explained above, this is because we disagree fundamentally about what "observation" means in physics. What I do recognize is that MWI can account for (I can't quite bring myself to use the word "explain" here) all of our (or, rather, my) "subjective experience". The problem is, so can solipsism or brain-in-vat theory. And they do it in essentially similar ways. And yet those latter are properly rejected by reasonable people as not being scientific, or at least as not able to be taken seriously in a scientific way. And that is also true of MWI, in my opinion, and for exactly the same reasons.



Because there is a difference between disliking a certain reality-view (such as MWI, or Bohmian mechanics or whatever), and claiming that it is self-contradictory.

That's not the relevant set of taxa here. Solipsism isn't self-contradictory. And "disliking" in a purely emotional sense has nothing to do with it. Professional judgments determine (or should determine) one's emotions, not vice versa. The relevant criteria are how well various theories live up to the professional standards for serious scientific theories. For example, evolution is a good scientific theory, creation science is not. The atomic theory of matter is good, solipsism is not. And the point isn't just that "good = true". There are all sorts of theories that turned out to be false, but which were nevertheless entirely reasonable as candidate theories for a time -- e.g., Ptolemy's epicycles theory is wrong but wasn't crazy or unscientific like "creation science" or solipsism or astrology.

But I fear there's no point getting into a discussion of what, exactly, these standards are, since we can't even agree on very fundamental philosophical points (which are hierarchically prior even to a discussion of proper standards for assessing candidate theories in science) such as whether the table I see in front of me is really there.


The argument you put forward does not show MWI to be self-contradictory. My argument against Bohmian mechanics (that it is not lorentz-invariant in its inner workings), doesn't render it self-contradictory either.

I agree. My argument wasn't attempting to show that MWI is self-contradictory. Rather, it's that any *case* for MWI (which is a scientific case in the sense of citing the results of various crucial experiments) will have to be self-refuting, since the theory the case is supposed to be a case for, says that those cited experiments never actually had the results we "subjectively experienced" them to have.



Now, if I may add one comment: I think that Bohmians are such avid MWI-dislikers, because MWI has taken out a major argument they thought they had: they thought that there was a loophole-free argument to put relativity aside. They thought that it was shown, once and for all, that the main criticism of Bohmian mechanics (namely it not being Lorentz-invariant), was a dead argument, as Bell's theorem showed that quantum predictions were incompatible with relativity. Quantum predictions without Bohmian mechanics. If quantum mechanics ITSELF killed relativity, then, of course, the way was cleared for Bohmian mechanics, and its main criticism fell on the floor. Relativity was untenable if quantum theory was to be right. And hence, no more requirement for Lorentz invariance.

This definitely has an element of truth, though the way you say it makes it sound like it's a deliberately dishonest thing -- like we (Bohmians) see that MWI is standing in the way of what would otherwise be a really good argument for Bohm, and so we viciously attack it because we don't want to face the truth that our argument is actually no good. You could put the same point more fairly if you stated it this way: Bohmians seem to understand Bell's theorem better than most (and btw Bell counts as a Bohmian here!). They recognize that there's no "hidden variables" assumption, no "realism" assumption, no "determinism" assumption, etc. If you grant that experiments actually have definite outcomes, and then if you require relativistic local causality, you get the inequality. And since we know, with more certainty than we know practically anything else in science, that experiments *do* have definite outcomes, it follows that we have to *give up* relativistic local causality. And that is nice, because it shows why the earlier-perceived barrier to accepting Bohm's version of QM, is actually no barrier at all. So it allows you to have all the *virtues* of Bohm's version (and anyone who has studied it honestly knows that there are *many virtues*), with no cost at all. But then these weirdo MWI people come along and say -- oh, but you can save relativistic local causality if you drop the requirement that experiments have definite outcomes (and drop also the whole relativistic worldview of physical events in 4D spacetime). And that's true, but come on!? Who could take that seriously?! It's about the equivalent of those annoying weirdos who come along and say "you don't have to believe that your grandparents were monkeys, if you just accept that jesus christ is your savior and he created the world 6,279.8 years ago on a tuesday." It's of course true in some sense that you can avoid the relevant conclusion you don't like if you accept that nonsense, but who could possibly accept that and think that what they were doing was *science*?

Well, OK, maybe I slid over into slanting it just ever so slightly the other way there... o:)
 
  • #38
You guys know any good resources on this? Wouldn't mind contributing, but I realize I don't know this anywhere as well as you do.
 
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  • #39
ttn said:
He thought that MWI couldn't be taken seriously as a scientific theory, not because he arbitrarily "hated" it, but because he thought carefully about what scientific theories are supposed to do. He hated it then because it failed to do those things and instead tried to play some pseudo-scientific mindgame.

However, for coming to that conclusion, he ADDED extra requirements on what a scientific theory is supposed to be like (and had to discard others).

The one, only and single non-disputable criterion for a scientific theory is:
it should correctly predict observations.

All the rest is open to matters of personal taste up to a point, and the case can be made for each of them. But, no theory can claim to be a scientific theory if it doesn't correctly predict observations. This is necessary.

The requirement, however, that elements of observation should be elements of ontology in a specific way, is a totally arbitrary extra requirement, but the fundamental requirement which made Bell (and Bohmians) conclude about their distaste for MWI. There is NO ABSOLUTE REQUIREMENT for observations to be corresponding in a simple and evident way with an element of ontology. Now, of course, it would render things simple. So I can very well understand a DESIRE for this requirement, but it is nothing more than this: a desire.

In the same way, absolute simultaneity could be an extra requirement of the same kind, it would be nice to have it, but there is no reason to take this as an absolute sine-qua-non requirement for a scientific theory.

There is a requirement that *I* put forward as an extra requirement, and that is: one should aim for a MINIMUM of universal principles from which a maximum of formalism can be derived. Now, again, this is not an absolute requirement, however, it is a very pragmatical one. Indeed, without such a requirement, there is no limit upon the possible alternatives, with as an extreme, just a list of all events in the universe, without any "law". So amongst all possible variations on scientific theories which are empirically equivalent, I think this requirement (which is not absolute) is a good guide. It is essentially Occam's rasor.


I believe there is more to SR than Lorentz invariance. For example, I can trivially write down a fully Lorentz invariant version of Bohmian mechanics, simply by putting in an "ether" (preferred frame) but then giving some made-up Lorentz invariant dynamical law which that ether is supposed to satisfy.

Indeed, as you outline, if you introduce some physical stuff, the ether, as living on spacetime, you could formulate the theory in a lorentz-invariant way, or in the SR way (which, to me, is the same: SR says that all physical entities should be functions over the spacetime manifold, and that means that their coordinate representations should satisfy Lorentz-invariant mappings. Lorentz transformations are nothing else but the transition maps between orthogonal coordinates on the spacetime manifold).

It's exactly the same as having air for sound waves to propagate in: the fact that there is a "preferred frame" for sound waves (in which, e.g., they propagate isotropically) doesn't violate Lorentz invariance, because the preferred frame is made real by positing some *matter* (the air) which defines that frame, and that is fully consistent with Lorentz invariance so long as one can give some Lorentz invariant laws for that new matter.

The problem is that Lorentz-invariance should then require that when the air is set in motion, things change. You hence have to introduce a genuine beable which is that "ether". But nothing observable has ever been related to that "ether". In order for that beable to make sense (and to use your OWN requirements of having observations to correspond to reality), there should be something physically observable to that ether. The air is observable. We can put it in motion, and study the sound waves in moving air.

But the ether is just an invention to make the theory fit a required symmetry which it doesn't have. You are inventing beables in order to simulate effects which would otherwise be derivable from a simple principle. One should propose experiments which demonstrate the physical reality of that "ether", and you should also demonstrate how it comes that other stuff interacts in such a way with the ether, as to make everything appear as if it didn't, but underwent some specific transformation in such a way as NOT to respect Lorentz invariance in its inner workings, but nevertheless in observable phenomena.

Because this is the problem with introducing an ether. If it is physically present (such as the air in your example), then there should be (unless very strange conspiracy) observable effects which are not Lorentz invariant without that ether. In other words, one should be able to MEASURE that specific reference frame in which the ether resides. In the same way as sound experiments can give you the rest frame of the air.

So, do the same thing for the ether -- instead of regarding the "preferred frame" as somehow fundamental to the structure of spacetime, you just say there's this new kind of matter which obeys Lorentz invariant laws, but there's some one frame in which the matter is "at rest".

Yes, yes. See, you are doing worse than MWI-ers. You are inventing totally unobserved physical things of a totally different kind, with totally unknown interactions in a conspirational way (the ether) in order for your stuff to comply to some principle you've actually killed, but which you need in order to be able to require compatibility with phenomena which ARE observed (SR effects).

You see that's possible, right? So would you therefore regard such a theory as fully consistent with SR? I think most people (including myself) wouldn't. It's cheating, somehow. And the "somehow" is what you need to flesh out to understand why "consistency with SR" and "Lorentz invariance" are not precisely the same thing.

Consistency with SR means that the ontological elements of the theory should be defined over spacetime. Strictly speaking, making the hypothesis of an ether, as some physical stuff, which fills spacetime, is consistent with SR. The above proposal of an ether is not a violation of SR, it is a violation of Occam's rasor. One needs to introduce a lot of extra postulates, of which the only aim is, to restore some broken symmetry.

But that wasn't even really the point I was making. As we've already covered, in MWI, there is no such thing as matter moving and interacting in 4-D spacetime. That exists only as a delusion in the minds of the "subjective conscious observers"
which also play such an important role in MWI. So it's very odd to say that the theory is fully special relativistic, when what SR is all about is the structure of that 4D spacetime. Or the same point a slightly different way: Lorentz invariance is *fundamentally* about the transformation properties of 4-D spacetime coordinates, i.e., the coordinates of events in 4D spacetime. But according to MWI there *are* no events in 4D spacetime.

Well, this is a misunderstanding. In MWI, there is a 4D spacetime all right. However, it is not the place where MATTER lives. It is the place where the operators live, which determine the interactions (which determine the unitary evolution). The Schroedinger picture makes this less evident, but in the Heisenberg picture, this is quite clear.
On one hand, you have Hilbert space, and on the other hand, you have spacetime over which operators over that Hilbert space live. All operators over hilbert space are indexed over spacetime, in such a way, that they transform under a (projective) representation of the Lorentz group.
So the spacetime manifold is there all right. Only, we thought that we had maps from R into that spacetime (which we call particles), or that we had tensor fields over spacetime (classical field theory), and it turns out that we have field operators over spacetime. In other words, spacetime exists as the basis space for a vector bundle in which the fibres are sets of operators over Hilbert space. So the structure is more complicated than originally anticipated, but spacetime is there all right.

Now, in specific cases, all this machinery looks a lot like a set of mappings from R into spacetime (in which case we restore classical relativitic particle dynamics) ; and in some cases it looks like tensor fields over spacetime (classical relativistic fields). But the structure is much richer.

What makes this "relativistically correct", is that the basis space is still 4D spacetime.

The funny thing is that people don't invent this *just for the sake of saving relativity with no observational consequences*. On the contrary, this kind of structure is full of predictions which can be verified. Gauge invariance is closely related to the above vision, and has also been a powerful principle from which a lot of OBSERVATIONALLY CORRECT STUFF has been derived.

In other words, the unitary part of quantum theory, as it shouldn't surprise anyone, is ENTIRELY relativistically compatible.

I of course would say the same thing in reverse: despite my having made quite clear why it's insane to take MWI seriously, you nevertheless come back to it each time I poke my head in this forum to see what's going on.

You classify as "insane", incompatible with some extra, and to a point arbitrary, extra requirements you've put upon physical theories. This is exactly what I call "emotional".

If I say that Bohmian mechanics is not, in its spirit, compatible with SR, and that that is one of the reasons why I do not prefer it, despite quite some merits, this is not an emotional statement. If I would say that Bohmians study some insane idea, because it is not compatible with my preference to keep relativity, I'm being emotional.

You dislike MWI for its lack of 1-1 relationship between ontology and observations. That's your good right. But qualifying MWI as "insane" because it is not compatible with this extra requirement of yours, is an emotional statement.


You equate "observation" with "subjective inner-theater impression" or some such.

It will be hard to convince me of anything else ! Can YOU tell me what is an observation, totally independent of any subjective inner-theatre impression ?

I take observation to mean that something (read: some*thing*) was actually *observed*. If you see a pointer pointing left, you saw *a pointer pointing left*. (This is indeed a philosophical question, as JesseM has said. I'm in no way ashamed about that -- and anyways, it's not like *my* position on that philosophical question is any more philosophical than *your* position on that same philosophical question. So it's silly to think that you could argue against my position by labeling it "philosophical". It's just like the stupidity of people who say that Bohmian Mechanics is pointless/unscientific because it is "philosophical", which I guess is based on the idea that Bohm has the "preposterous, philosophical, unscientific" idea that there is actually an external physical world that it is the job of physics to describe... Anyway...)

It is a philosophical act to make an ontology-hypothesis.
Choosing to equate observation with ontology is ONE possible answer one can prefer. It is called "naive realism". Refusing to make an ontology-hypothesis is called solipsism. Doing something else, is, well, making yet another ontology-hypothesis.

No answer to this question is "more" or "less" philosophical than another.


This is exactly the difference between our views here, and it is a philosophical one. I think it is settled -- long before we get to any advanced topics like the sub-structure of atoms or how to interpret Schroedinger's equation -- that when we perceive we are actually perceiving a real physical world of physical objects external to our bodies. Those external physical objects (and/or the "matter" they're made of) are real. That is just completely *settled* and non-negotiable.

Saying that is adhering strongly to a specific philosophical vision, which is called "naive realism". In as much as philosophy goes, nothing is settled.

It is the refusal to re-consider that position, which is, I repeat, an entirely philosophical position, which can lead one astray.

My position is that philosophical questions should be answered in such a way as to interfere minimally with what we have formally, and which allow us to build theories on a small set of principles. I think also that "naive realism" is a nice thing to have, if we can, but if another answer to the question seems more appropriate in order to set up a theoretical framework, then so be it.

The job of physics is then to understand in further, microscopic detail, what the properties of these entities/matter are, how they interact, what smaller pieces they are made of and how those interact, etc.

You see, you are IMPOSING a philosophical viewpoint upon the workings of a scientific theory.

For you, as I understand it and by contrast, all of that stuff is left as completely negotiable. For you physics, isn't basically about explaining the hidden underlying structure of directly perceivable entities (or even directly perceivable attributes of those entities, such as their positions), but rather it is about explaining how we might come to have certain "subjective inner theater impressions". That is, you want physics to simultaneously address questions such as "why are atoms about an angstrom across?" and "is there really an external world that my experience is experience *of*?" As you know, I find this bizarre. But, for whatever it's worth, that's at least what our basic philosophical difference is.

Yes, that is exactly true. I base this onto two points:
1) the only thing we really know, observe etc... are our "inner theatre impressions". All the rest is hypothesis.
2) we should minimise the number of principles, on which to derive a maximum of powerful formal machinery in order to allow one to predict what are going to be these inner theatre impressions.

Now, ONE possible solution could be that we make the hypothesis that there is a 1-1 relationship between our impressions, and actual ontology. In other words, that we take, as a working hypothesis, "naive realism". It is amazing up to what point this works ! It is amazing up to what point one can actually make simply 1-1 hypotheses, and use this as quite a consistent way of organizing one's sensations. In other words, it is quite amazing how we can simply assume that there is an object such as a chair, and that our sensory impressions (auditive, visual, sensory...) are compatible with that one single hypothesis. So this seems indeed a good idea. Classical mechanics is for a large part based upon that.
However, certain observations have shown the limit of that working hypothesis. As such, I have no difficulty taking on another working hypothesis. After all, it was almost too nice to be true, that there were simple things which were actually there, and which could simply explain these impressions!


No, that's not right. I don't recognize that MWI can explain all of our observations. I think it fails to explain them. Instead of explaining them, it attempts to explain them *away* -- in the sense of telling a story about why I shouldn't have taken those apparent observations to be genuine observations.

There are no "apparent observations". Observations (inner theatre experiences) are just as "real" as anything. Hell, it is the only thing we know there to be! But observations are a RELATIONSHIP between an inner theatre, and some hypothetical real world. That relationship is real, but the hypothetical real world ITSELF doesn't need to be equal to the relationship.

But as I explained above, this is because we disagree fundamentally about what "observation" means in physics. What I do recognize is that MWI can account for (I can't quite bring myself to use the word "explain" here) all of our (or, rather, my) "subjective experience". The problem is, so can solipsism or brain-in-vat theory.

No. Solipsism has no predictive power, nor does "brain-in-vat" theory, if you don't know the intentions of the evil scientist. It is the only reason, btw, not to adhere to them: the hypothesis doesn't bring in any organizational power of our sensations. MWI does. In MWI, you get just the same predictive power as in "standard" quantum theory. It helps one make predictions.

And they do it in essentially similar ways. And yet those latter are properly rejected by reasonable people as not being scientific, or at least as not able to be taken seriously in a scientific way.

I wouldn't say that solipsism is rejected on a scientific basis ! Only, it doesn't bring in anything useful. If it would, one should consider it. But solipsism essentially says: "subjective experiences happen", period. It is not the basis of any *prediction* of those subjective experiences, and it is on that account that it isn't of any use for scientists.

The relevant criteria are how well various theories live up to the professional standards for serious scientific theories. For example, evolution is a good scientific theory, creation science is not.

Yes, but the only reason for that is that creation science cannot explain certain observations.

The atomic theory of matter is good, solipsism is not.

Again, because from solipsism, you cannot derive many predictions.

But I fear there's no point getting into a discussion of what, exactly, these standards are, since we can't even agree on very fundamental philosophical points (which are hierarchically prior even to a discussion of proper standards for assessing candidate theories in science) such as whether the table I see in front of me is really there.

Well, because you already take on philosophical answers as non-negotiable even before the question is examined.
 
  • #40
continued...



I agree. My argument wasn't attempting to show that MWI is self-contradictory. Rather, it's that any *case* for MWI (which is a scientific case in the sense of citing the results of various crucial experiments) will have to be self-refuting, since the theory the case is supposed to be a case for, says that those cited experiments never actually had the results we "subjectively experienced" them to have.

Again, again. MWI is not self-refuting, because it doesn't claim that cited subjective experienced results weren't subjectively experienced. There is no need for the results to "ontologically be there" in order for a theory to say how results can be subjectively experienced.

The only need there is, is that subjectively experienced results (which are seen as a relationship between a subjective internal theatre and another, objective world) must FOLLOW AS PREDICTIONS for subjectively experienced results. You couldn't, indeed, start from observations, build a theory around that, and then come back with predictions that would be different, concerning those (subjective) observations, than the ones one started with.

Observations being the result of a relationship between a "subjective theatre" and "a postulated reality", there is no need for observations to correspond to that postulated reality ON ITS OWN.
We only need to build a postulated reality, AND a relationship between a subjective theatre and that postulated reality, so that the relationship comes out all right. It is of course a handicap to only possesses one side of that relationship, but with sufficient thinking, one can come to such an overall scheme. A guiding principle in doing so, is to try to limit the number of postulates to a minimum.

This definitely has an element of truth, though the way you say it makes it sound like it's a deliberately dishonest thing -- like we (Bohmians) see that MWI is standing in the way of what would otherwise be a really good argument for Bohm, and so we viciously attack it because we don't want to face the truth that our argument is actually no good.

Yes. :biggrin:

If you grant that experiments actually have definite outcomes,

Bzzt. Input of a philosophical requirement, which is often labeled "the realism" requirement. Very sensible, indeed. But nevertheless, an extra requirement, namely of "naive realism".

And since we know, with more certainty than we know practically anything else in science, that experiments *do* have definite outcomes,

We don't know that AT ALL, and we could never scientifically prove this, given that it is a philosophical position. If it were scientific, it could be falsified. You can never falsify even solipsism in a scientific way.
And that's true, but come on!? Who could take that seriously?! It's about the equivalent of those annoying weirdos who come along and say "you don't have to believe that your grandparents were monkeys, if you just accept that jesus christ is your savior and he created the world 6,279.8 years ago on a tuesday." It's of course true in some sense that you can avoid the relevant conclusion you don't like if you accept that nonsense, but who could possibly accept that and think that what they were doing was *science*?

The only way for preferring the non-creationist viewpoint is that it can explain more, with less input. If there wouldn't have been the fossile record, and there wouldn't have been other illustrations of evolution, but if on the other hand, we regularly saw appearances of the angel Gabriel and so on, then it would be scientifically more sound to accept the creationist viewpoint. Because it would THEN have a higher degree of prediction than that silly theory of evolution for which no single observational element was ever presented.

However, the creationist viewpoint is not entirely insane a priori. There could have been a creation 6000 years ago. Only, they need to put in A LOT of extra hypotheses, and each new dinosaur bone that is dug up, needs a new hypothesis on their side to explain it.
In other words, to keep to their cherished philosophical/religious viewpoint, they introduce *a lot of extra hypotheses* which seem moreover to be quite conspirational (like, God put those dinosaur bones in the ground, so as to "make us think that evolution was a principle, and hence to test our faith that it isn't, even though it seems to explain observations").

As such, for people, desperately wanting to adhere to a religious/philosophical viewpoint, creationism is a good viewpoint. It gives them ease of mind. Their preferred philosophy is saved. They have sacrificed about all predictional value of their theory in order to do so, and have to put in a lot of observational results by hand, but at least, their view on how the world "should be" is saved...

And they feverishly ATTACK a competing viewpoint, which discards their favorite philosophical viewpoint, but has, with much less input of principles, a much higher yield of predictive value: evolution.

Mmmm... :rolleyes:
 
  • #41
I have another (probably pointless) question concerning MWI.

In the case of a pure entangled state between our quantum system and observer, MWI provides an interpretation for

|spin-up> |a> + |spin-down>|b>,

in that each term of the superposition should be treated as a separate copy of the universe. How does this interpretation deal with mixed entangled states? For example, suppose we include an environment in our system and then unitary evolutions give

|spin-up>|a>|e1> + |spin-down>|b>|e2> ,

and if i trace out the environment then i am left with:

rho = tr(|e1><e1|) |spin-up>|a><spin-up|<a| + tr(|e2><e1|) |spin-down>|b><spin-up|<a| + tr(|e1><e2|) |spin-up>|a><spin-down|<b| + tr(|e2><e2|) |spin-down>|b><spin-down|<b|

This is the state shared between the system and the observer. How do we interpret this state within MWI?
 
  • #42
MaverickMenzies said:
I have another (probably pointless) question concerning MWI.

In the case of a pure entangled state between our quantum system and observer, MWI provides an interpretation for

|spin-up> |a> + |spin-down>|b>,

in that each term of the superposition should be treated as a separate copy of the universe. How does this interpretation deal with mixed entangled states? For example, suppose we include an environment in our system and then unitary evolutions give

|spin-up>|a>|e1> + |spin-down>|b>|e2> ,

and if i trace out the environment then i am left with:

rho = tr(|e1><e1|) |spin-up>|a><spin-up|<a| + tr(|e2><e1|) |spin-down>|b><spin-up|<a| + tr(|e1><e2|) |spin-up>|a><spin-down|<b| + tr(|e2><e2|) |spin-down>|b><spin-down|<b|

This is the state shared between the system and the observer. How do we interpret this state within MWI?

There are two answers to this.

The first is, that there will always be a split, which is binary:
"observer body" versus "rest of the universe".

So if the state is:
|spin-up>|a>|e1> + |spin-down>|b>|e2> ,

and the observer body is described by |a> and |b> then we have that the split between the observer body and the rest of the universe takes on the form:

|a> (x) |spin-up>|e1> + |b> (x) |spin-down>|e2> ,

(where I put (x) to emphasize the tensor product split between "observer" and "rest-of-universe").

So to the observer body degree of freedom correspond two distinct terms, |a> and |b> which are supposed to be corresponding to two different "subjective experiences" which emerge from these states.

The "rest of the universe" is now the union of the spin system and the environment. But state |a> will be compatible with both an environment e1, and a spin up state, while state |b> will be compatible with both an environment e2 and a spin down state.

Now, the nice thing about decoherence is that in this kind of decomposition, the "classical body states", together with the "classical environment states", together with the "classical pointer states" all come together in different terms. (ok, there is a caveat to this: we shouldn't think of basis states here, but as subspaces in Hilbert space, sufficiently compatible with classical, coherent states: there can still be wild oscillations within these subspaces).

So it is a bit as with the definition of inertial frames in Newtonian physics: although the definition is, strictly speaking, somewhat circular (inertial frames are rest frames of particles on which no forces act, and particles on which no forces act are particles which move in a uniform way in inertial frames...). Classical body states are states which appear in decohered systems of the above kind, and states are decohered when the different contributions are factors of classical states... But FAPP, there is no ambiguity of what is a classical pointer state, or a classical body state.

The statistical ensemble of "subjective observer states" is then given by the different classical bodystates that occur in the decomposition, with probability measure given by the hilbert norm squared of the term in which it occurs.

The second answer is this:

The use of the partial trace already pre-supposes the application of the Born rule, in other words, when doing this, we already accept the passage to a statistical mixture *as observed* by one of its components.

So we are already talking about the statistical ensemble of "subjective observer states" in a way.

Now, for any two environment states |e1> and |e2> which respect themselves, we have that < e1 | e2 > is essentially 0. From this follows that the reduced density matrix of "observer+spin system" is given by:

rho = tr(|e1><e1|) |spin-up>|a><spin-up|<a| + tr(|e2><e1|) |spin-down>|b><spin-up|<a| + tr(|e1><e2|) |spin-up>|a><spin-down|<b| + tr(|e2><e2|) |spin-down>|b><spin-down|<b|

= tr(|e1><e1|) |spin-up>|a><spin-up|<a|
+ tr(|e2><e2|) |spin-down>|b><spin-down|<b|

= |spin-up>|a><spin-up|<a|
+ |spin-down>|b><spin-down|<b|

In a "basis of classical body states" (here, |a> and |b>), this is a diagonal density matrix (it is always the case, when tracing out the environment, under the assumption of full decoherence).

It comes down to having a statistical ensemble of "subjective experience" (in 1-1 relation with classical body states), in which we have:

50% of the |spin-up>|a> state, and
50% of the |spin-down>|b> state.

In other words, this generates (without surprise) the same statistical ensemble of "subjective observer states" as in the previous approach.
 
  • #43
Interesting. Thank you for your answer.
 
  • #44
Another question in the same spirit as the above... Suppose the state is

|1>|A1>|B0> + |2>|A2>|B0>

where, in order, the three factors refer to degrees of freedom pertaining to

* some physical system (like maybe the spin of a particle being up=1 and down=2 or whatever)

* the state of one observer ("Alice", with A1 = Alice's body/brain is in the state where she observes spin up, etc.)

* the state of some other observer who isn't observing or paying attention or even nearby (Bob). Note that the Bob part of the state is the same in the two superposed terms.

So here's the question: vanesch always talks about the "counting of terms" as being based on orthogonal "body states" of the observer. But which observer? If the state of the universe is the state above, is there just one universe, or two? Or is it "two for Alice" and "one for Bob"? Or what?

PS -- this is the kind of thing Bell had in mind when he noted that MWI is "extravagantly vague". It moves all of the physics into a very weird place (some boundary between "subjective mental impressions" and a "physical world" that is nothing like the physical world we know) and is *thereby* extremely difficult to actually formulate rigorously.
 
  • #45
ttn said:
Or is it "two for Alice" and "one for Bob"?

You've got it. Two for Alice, one for Bob.

Worlds are an observer-dependent concept in MWI.

This is exactly how MWI can weasel out of Bell's theorem.

However, in order for one to maintain such a state, there can be no interaction between "alice" and "bob", and the only way to make one sure about this, is to have them at spacelike separations. Sooner or later, via a common environment, they will entangle, and then both sets of worlds (those from Alice PoV and those from Bob PoV) will coincide.
 
  • #46
vanesch said:
You've got it. Two for Alice, one for Bob.

Worlds are an observer-dependent concept in MWI.

This is exactly how MWI can weasel out of Bell's theorem.

Yes, good, I understand that, but it's good to get something out in the open so clearly for once!


However, in order for one to maintain such a state, there can be no interaction between "alice" and "bob", and the only way to make one sure about this, is to have them at spacelike separations. Sooner or later, via a common environment, they will entangle, and then both sets of worlds (those from Alice PoV and those from Bob PoV) will coincide.

Right.

I've basically made the point I want to make, which is that you have to take all of the "different worlds" and "splitting" and all that (which *sounds* like it's supposed to be what the *dynamics* of MWI is fundamentally *about*) with a giant grain of salt. All of that is really just talk that can't be taken seriously/physically. And then it's not so clear what is left that *can* be taken seriously/physically. It shows nicely how subjective/internal/solipsist this gets. Incidentally, doesn't what you said above also raise some questions about Lorentz invariance? Not any real ones now that we know all the talk about "splitting worlds" and such is just empty talk and not something that is to be taken seriously by the theory. But anyway, if the physical effects that get Alice and Bob entangled (later) propagate at some slow speed (like the speed of sound, which is probably about right for many such situations) then what some MWI people might (erroneously) think of as "facts" that the theory says something about (like how many worlds there are at some time) aren't really facts at all, because they aren't Lorentz invariant. So, another nice illustration of why you can't take any of this seriously -- to do so is to spoil the (alleged) consistency of MWI with relativity.

Anyway, I didn't really want to discuss this. I just thought it would be a nice way to bring something important out into the open, which was a minor tweak of the other question that got asked. I'll hopefully find some time later to respond to your other post on the more philosophical stuff.
 
  • #47
Interesting discussion ... sort of.

MWI is a most unattractive way of, er, looking at things. It certainly doesn't explain any of the stuff that it purports to explain. It seems to be saying that since the quantum processes involved in the generation of experimental observations (data) are pretty much unknown (ie., there's a measurement problem and an accompanying wave function interpretation problem), then let's just interpret the superposition of all possible outcomes as meaning that all possible outcomes actually happened (even though that interpretation doesn't actually mean anything). MWI also supposedly solves the locality/nonlocality problem.

Now, the measurement problem really is a problem in that physicists really don't know much about measurement (or emission, for that matter) processes at the quantum level. But I think that we can agree that the MWI solution doesn't provide any new knowledge of such processes.

The locality/nonlocality problem hasn't yet attained the status of being a real problem (everything seems to behave as if locality were the reigning standard ... and no superluminal anything has been produced for our consideration), so maybe its solution by way of MWI is premature.

ttn's idea (and demonstrations) that MWI is silly on several different fronts is more appealing than vanesch's adherence to MWI -- which adherence doesn't promise to help his (vanesch's ... or anybody else's for that matter ) understanding of physics or of the world. Of course, if MWI could be used to improve our knowledge and facility regarding, say, high T_c superconducting, or dark energy, etc., then I'll have to reconsider.
 
  • #48
vanesch said:
The one, only and single non-disputable criterion for a scientific theory is: it should correctly predict observations.

Sure, but that doesn't really help given our philosophical disagreement over the meaning of "observations". You say MWI does correctly predict our observations, and I deny this. So it doesn't really help move the discussion forward to just assert that what I mean by "observation" adds something to what "observation" really means. It's already clear that we disagree, and not clear (to anyone but you) that you are right.



The requirement, however, that elements of observation should be elements of ontology in a specific way, is a totally arbitrary extra requirement, but the fundamental requirement which made Bell (and Bohmians) conclude about their distaste for MWI. There is NO ABSOLUTE REQUIREMENT for observations to be corresponding in a simple and evident way with an element of ontology.

It's a "totally arbitrary extra requirement" to think that there are such things as pointers and that they point? Come on. That's the kind of talk that wins you friends among other freshman in a philosophy 101 class maybe, but it isn't the kind of talk that serious physicists take seriously. We know there are pointers, and that they point... and we're now onto working on more interesting questions.



Indeed, as you outline, if you introduce some physical stuff, the ether, as living on spacetime, you could formulate the theory in a lorentz-invariant way, or in the SR way (which, to me, is the same: SR says that all physical entities should be functions over the spacetime manifold, ...

So, the wf in MWI is not "physical"?



The problem is that Lorentz-invariance should then require that when the air is set in motion, things change. You hence have to introduce a genuine beable which is that "ether". But nothing observable has ever been related to that "ether". In order for that beable to make sense (and to use your OWN requirements of having observations to correspond to reality), there should be something physically observable to that ether. The air is observable. We can put it in motion, and study the sound waves in moving air.

Your parenthetical comment shows that you completely misunderstand what I think about "observation". It's not that reality = observation (meaning, whatever you observe is real *and* everything that's real is directly observable). I take the word "observation" quite literally. To observe something is to *see* it, literally. I'm observing a table right now. And now my cat. I've never directly observed an atom. Nor an ether. Some things (like tables and cats) can be known to exist because we observe them. Other things we know exist only through a chain of inference. So don't think that just because some hypothetical entity (like say an ether, an atom, dark matter, whatever) is unobservable, therefore my philosophy requires me to disbelieve its existence.



But the ether is just an invention to make the theory fit a required symmetry which it doesn't have.

I agree. Don't forget I said from the beginning that I didn't think this scheme was really a way to "relativize" Bohm's theory. It's obviously cheating, in roughly the way you describe. We agree there. I only raised it to point out that there is more to "consistency with relativity" than mere Lorentz invariance of the defining equations.



Consistency with SR means that the ontological elements of the theory should be defined over spacetime.

So, pray tell, which are the ontological elements (defined over spacetime) in MWI?


Strictly speaking, making the hypothesis of an ether, as some physical stuff, which fills spacetime, is consistent with SR.

That's a bizarre statement since basically the whole point of SR was to try to account for certain things *without* positing an ether (which bothered Einstein because it was arbitrary and unobservable). So you're saying (for example) the Lorentz ether theory is consistent with SR?



The above proposal of an ether is not a violation of SR, it is a violation of Occam's rasor. One needs to introduce a lot of extra postulates, of which the only aim is, to restore some broken symmetry.

I agree that that's a serious problem for the "relativistic Bohm theory" I proposed. It'd be more honest to just posit the ether and say "this conflicts with relativity" and let the chips fall where they may.



Well, this is a misunderstanding. In MWI, there is a 4D spacetime all right. However, it is not the place where MATTER lives. It is the place where the operators live, which determine the interactions (which determine the unitary evolution).

But, as you say, the operators are a human mathematical tool, right? Nobody thinks they somehow are (or correspond to or describe) anything *physical*, any *matter*. So *is* there any matter in MWI? Is there anything else, anything physically real, that lives in 4D spacetime?

And if not (and given your comments above) how can you say MWI is consistent with SR?



On one hand, you have Hilbert space, and on the other hand, you have spacetime over which operators over that Hilbert space live. All operators over hilbert space are indexed over spacetime, in such a way, that they transform under a (projective) representation of the Lorentz group.
So the spacetime manifold is there all right. Only, we thought that we had maps from R into that spacetime (which we call particles), or that we had tensor fields over spacetime (classical field theory), and it turns out that we have field operators over spacetime. In other words, spacetime exists as the basis space for a vector bundle in which the fibres are sets of operators over Hilbert space. So the structure is more complicated than originally anticipated, but spacetime is there all right.

Yes, the 4D spacetime is "there" in the theory, no doubt. But the question is: what, if anything, is "there" in the 4D spacetime? Nothing, so far as I can tell. But that's hardly consistent with our precious observations. (or SR)




Now, in specific cases, all this machinery looks a lot like a set of mappings from R into spacetime (in which case we restore classical relativitic particle dynamics) ; and in some cases it looks like tensor fields over spacetime (classical relativistic fields). But the structure is much richer.

What makes this "relativistically correct", is that the basis space is still 4D spacetime.

Not what you said before!


You classify as "insane", incompatible with some extra, and to a point arbitrary, extra requirements you've put upon physical theories. This is exactly what I call "emotional".

But what you call an arbitrary extra requirement is simply that physical theories should be able to account for our direct observation of physical objects! To deny that *is* insane (he says emotionlessly).




You dislike MWI for its lack of 1-1 relationship between ontology and observations.

No, you misunderstand, as I explained above.


It is a philosophical act to make an ontology-hypothesis.

Wow, you just defined most of physics out of existence. So when Copernicus said that the Earth really goes around the sun, he was doing philosophy, not physics. When Maxwell and Boltzmann argued that there are unobserved little particles (atoms), they were doing philosophy, not physics. When Rutherford inferred from his scattering data that these atoms have a nuclear structure, he was engaging in a "philosophical act", not doing physics. And so on and so on.



Choosing to equate observation with ontology is ONE possible answer one can prefer. It is called "naive realism". Refusing to make an ontology-hypothesis is called solipsism. Doing something else, is, well, making yet another ontology-hypothesis.

I'm not a naive realist.



You see, you are IMPOSING a philosophical viewpoint upon the workings of a scientific theory.

True, I am. I'm considering it settled (by philosophy, prior to any discussions of physics) that there are cats and tables and pointers, that the things we directly observe are actually there.

What's ironic is that you are also "imposing a philosophical viewpoint" -- it's just that you (wrongly) think your philosophical viewpoint is "obviously right" or "scientific" or some such, so all you see is everybody else's philosophical viewpoint. It's like: "everybody but me speaks with an accent!"





Yes, that is exactly true. I base this onto two points:
1) the only thing we really know, observe etc... are our "inner theatre impressions". All the rest is hypothesis.

I completely disagree with that.




There are no "apparent observations". Observations (inner theatre experiences) are just as "real" as anything.

I meant by that to distinguish between your understanding of "observations" and mine. "Apparent observations" are what *I* call what you call "observations" in MWI -- they are merely "apparent" because (as I describe it) they are delusional, because there is no really existing *object* of the observation (the way there is when I veridically observe a table or cat).
 
  • #49
continued...


vanesch said:
Again, again. MWI is not self-refuting, because it doesn't claim that cited subjective experienced results weren't subjectively experienced. There is no need for the results to "ontologically be there" in order for a theory to say how results can be subjectively experienced.

But if somebody mentions (I dunno, say) the results of the Davisson-Germer experiment as evidence for their theory, that only goes anywhere if I understand them to mean the *actual* realized results of that experiment (as opposed to the "subjective fantasy" that I or someone else had about the results of those experiments). It's only evidence if that's what actually *happened*. Dreams aren't evidence for scientific theories. And so, given that, such evidence can never be evidence for MWI since MWI asks us to reject the assumption that all the experienced stuff actually happened. Accepting MWI renders what might otherwise have been evidence (for MWI or anything) into non-evidence (for MWI or anything). So any such argument as "this and that experiment had thus and so outcomes, so you ought to believe in MWI" must necessarily fail.



We don't know that AT ALL, and we could never scientifically prove this, given that it is a philosophical position. If it were scientific, it could be falsified. You can never falsify even solipsism in a scientific way.

We can never scientifically prove that there are tables and cats? I think you seriously misunderstand "scientific proof". Scientific proof is what we resort to when we can't just directly perceive something!
 
  • #50
ttn said:
Yes, good, I understand that, but it's good to get something out in the open so clearly for once!

I always claimed that "worlds" is an observer-dependent concept (one should say "many subjective worlds, one objective one" ; or in other words: a statistical ensemble for subjective experiences, one single objective world). That's why all those "splittings" and so on are not objective phenomena. They are subjective phenomena.

I've basically made the point I want to make, which is that you have to take all of the "different worlds" and "splitting" and all that (which *sounds* like it's supposed to be what the *dynamics* of MWI is fundamentally *about*) with a giant grain of salt. All of that is really just talk that can't be taken seriously/physically.

Why not ? That's not an argument. From the start, in MWI, we state that there is a difference between "subjective experience/world/observation/..." and objective ontology, but that there is a rule to find the statistical ensemble describing the subjective experience/world/observation.

Now, it seems that each time you rediscover that basic assumption, that you restate how impossible/not serious/... this must be. But since we took it as a starting position, you will find it scattered all over the place.

It shows nicely how subjective/internal/solipsist this gets.

Yes, but that was said from the start.

But anyway, if the physical effects that get Alice and Bob entangled (later) propagate at some slow speed

Nope, that will essentially be light speed. It is sufficient that a single photon makes "contact" between both environments of Alice and Bob, for them to get entangled. The single most interaction that can leave a "classical trace" *in principle*.

(like the speed of sound, which is probably about right for many such situations) then what some MWI people might (erroneously) think of as "facts" that the theory says something about (like how many worlds there are at some time) aren't really facts at all, because they aren't Lorentz invariant.

But that's the point. Given that most decoherence occurs via the EM field (for instance, entanglement with the cosmic microwave background), this is essentially "at light speed".

Also, there isn't to be any lorentz-independent notion of "how many worlds" there are, given that it is observer dependent, in the same way as a coordinate system of the rest frame of an observer is, well, observer dependent.
 
  • #51
mgelfan said:
MWI is a most unattractive way of, er, looking at things. It certainly doesn't explain any of the stuff that it purports to explain. It seems to be saying that since the quantum processes involved in the generation of experimental observations (data) are pretty much unknown (ie., there's a measurement problem and an accompanying wave function interpretation problem), then let's just interpret the superposition of all possible outcomes as meaning that all possible outcomes actually happened (even though that interpretation doesn't actually mean anything). MWI also supposedly solves the locality/nonlocality problem.

Yes. Given the basic principle of quantum theory, which says that a system state is given by an element of hilbert space, and that that hilbert space is found by considering the superposition of all possible "classical states", it seems normal to extend this concept to "observer states".

There is no fundamental difference between the physics happening in "observers" and in "systems". As such, their descriptions should be the same. But if that is true (which we accept, if we accept the basic postulate of quantum theory to be universal), then there is no way out of saying that observers must be in states which are superpositions of "different states of observation". It is simply the application of the basic postulate of quantum theory to observers, if we don't want to give them any different physics than other physical structures.

So if we accept the Schroedinger equation to be perfectly universally valid, then there is no escaping that at a certain point in time, we should consider that Alice's state is a superposition of "Alice saw up" and "Alice saw down". This follows from the linearity of the Schroedinger equation, and the assumption that this is applicable in principle to a physical structure such as Alice.

We also know that quantum-mechanically, there can be no equivalence between "superposition" and "statistical ignorance". So the superposition of Alice saw down and Alice saw up is not the same as a statistical mixture.

We also know the measurement axioms, which specify that "when we do a measurement" (which is after all, ultimately a subjective experience), then a superposition becomes a mixture of "observed outcomes". But if we refuse to accept that there happens some DIFFERENT PHYSICS in a measurement interaction, than in a "system interaction", then the meaning of this measurement axiom is simply giving us the relationship between the actual physical state (which we found to be a superposition), and a subjective experience. Hence, the "state -> statistical ensemble" transition seems to hide in the transition "physical state -> subjective experience".

Now, the nice thing of doing this - and the only reason in fact - is that we can keep the full unitary machinery of quantum theory. As such, we can keep all the nice properties of this machinery, and we don't need to introduce any ugly "change in physics due to observers". Also, we can do what we've always done in physics, that is, to take the essential formal elements as describing reality.
This is the reason why I adhere to MWI *as an interpretation of QM*: it allows you to take the formalism seriously (in the same way as you take the spacetime manifold for real in relativity, or you take "particles" for real in Newtonian mechanics). In other words, MWI allows you to resist the temptation to fiddle with the formalism for philosophical preferences. The formalism should speak for itself, and we shouldn't have any a priori over it.

The bonus one gets also (which is somehow also comprehensible) is that a lot of paradoxes that appear in QM when one considers QM just as a kind of thing that must ultimately transit to a classical world, disappear. The main difficulty being the EPR problem with Bell's theorem. It is no wonder that the paradoxes disappear: you take the formalism which provides you with these predictions in the first place, for real. As such, there is perfect agreement between the ontology, and the basic properties of quantum theory, and you avoid paradoxes.

Now, the measurement problem really is a problem in that physicists really don't know much about measurement (or emission, for that matter) processes at the quantum level. But I think that we can agree that the MWI solution doesn't provide any new knowledge of such processes.

It provides for a view which helps you not to consider it as a problem.
A bit like taking on a spacetime manifold view avoids you to consider the "problem" of "simultaneity". You UNDERSTAND why it is not a problem in that view.

The locality/nonlocality problem hasn't yet attained the status of being a real problem (everything seems to behave as if locality were the reigning standard ... and no superluminal anything has been produced for our consideration), so maybe its solution by way of MWI is premature.

Well, if you have no problem with locality in your view of QM, that is ok then, but I wonder how you consider Bell's theorem then.

ttn's idea (and demonstrations) that MWI is silly on several different fronts is more appealing than vanesch's adherence to MWI -- which adherence doesn't promise to help his (vanesch's ... or anybody else's for that matter ) understanding of physics or of the world. Of course, if MWI could be used to improve our knowledge and facility regarding, say, high T_c superconducting, or dark energy, etc., then I'll have to reconsider.

No, MWI gives me the "ease of mind" not to look for problems where there aren't any, such as locality or the "measurement problem". It makes me resist the temptation to throw out of the window good and powerful principles such as the principle of relativity.
 
  • #52
vanesch said:
There is no fundamental difference between the physics happening in "observers" and in "systems". As such, their descriptions should be the same. But if that is true (which we accept, if we accept the basic postulate of quantum theory to be universal), then there is no way out of saying that observers must be in states which are superpositions of "different states of observation". It is simply the application of the basic postulate of quantum theory to observers, if we don't want to give them any different physics than other physical structures.


extremely well said- this is the source of much frustration- opponents of MWI and multiverse theories/ontologies in general would have us accept a grand epicycle- a demon that adds some new physical principle that somehow magically allows only one 'real' observer state- simply because they find the implications of unitary quantum mechanics 'unattractive'
 
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  • #53
vanesch said:
I always claimed that "worlds" is an observer-dependent concept (one should say "many subjective worlds, one objective one" ; or in other words: a statistical ensemble for subjective experiences, one single objective world). That's why all those "splittings" and so on are not objective phenomena. They are subjective phenomena.

Yes, fine. But what you are less clear about is what the "one objective one" is made of and where it is. (As far as I can tell, there's no physical matter in your "one objective world" and whatever it does contain, if anything, doesn't live in 3D physical space.)




Also, there isn't to be any lorentz-independent notion of "how many worlds" there are, given that it is observer dependent, in the same way as a coordinate system of the rest frame of an observer is, well, observer dependent.


Oh jeez.
 
  • #54
vanesch said:
There is no fundamental difference between the physics happening in "observers" and in "systems".

Huh? There is, to the contrary, no more fundamental difference than the difference between stuff happening "in observers" and stuff happening "in [physical, external] systems".



As such, their descriptions should be the same.

But in MWI they aren't.




So if we accept the Schroedinger equation to be perfectly universally valid, then there is no escaping that at a certain point in time, we should consider that Alice's state is a superposition of "Alice saw up" and "Alice saw down". This follows from the linearity of the Schroedinger equation, and the assumption that this is applicable in principle to a physical structure such as Alice.

...and the evasion of the ever-present fact that no such states have ever been observed to exist.




We also know the measurement axioms, which specify that "when we do a measurement" (which is after all, ultimately a subjective experience),

That's where we disagree. Performing an experiment and getting an outcome is NOT merely having a certain kind of subjective experience. Reality is not virtual reality.



This is the reason why I adhere to MWI *as an interpretation of QM*: it allows you to take the formalism seriously (in the same way as you take the spacetime manifold for real in relativity, or you take "particles" for real in Newtonian mechanics). In other words, MWI allows you to resist the temptation to fiddle with the formalism for philosophical preferences.

Except that the only way of coming even remotely close to making MWI possible to consider seriously (let alone accept), is to adopt a very radial anti-scientific philosophical position about the basic relationship between consciousness and its objects -- namely, that (for all we know) consciousness *has* no objects.

This is the same kind of BS argument one used to always hear about Bohmian Mechanics -- "oh, that's just philosophy". So it is. But for Bohm's theory, the philosophy is good philosophy, true philosophy. What the people who make this argument don't understand is that Copenhagen is just as philosophical, and its philosophy is complete anti-science nonsense (Kantian subjectivism, existentialism, logical positivism, ...). It's not valid to dismiss one thing because it's "philosophical" when what one advocates instead is equally philosophical -- and it's particularly invalid when the philosophy one advocates instead is an embarrassing unscientific pile of poo.


The formalism should speak for itself, and we shouldn't have any a priori over it.

The whole idea that "the formalism should [or could] speak for itself" is philosophy.



No, MWI gives me the "ease of mind" not to look for problems where there aren't any, such as locality or the "measurement problem". It makes me resist the temptation to throw out of the window good and powerful principles such as the principle of relativity.

Yes, it is very difficult to resist the temptation to follow empirical evidence where it leads.
 
  • #55
setAI said:
extremely well said- this is the source of much frustration- opponents of MWI and multiverse theories/ontologies in general would have us accept a grand epicycle- a demon that adds some new physical principle that somehow magically allows only one 'real' observer state- simply because they find the implications of unitary quantum mechanics 'unattractive'


There it is again. "Everybody has an accent but me."
 
  • #56
ttn said:
Yes, fine. But what you are less clear about is what the "one objective one" is made of and where it is.


It is a mathematical object, of course.

If you talk about "space", that's also a mathematical object, right ? "particles" are mappings from R to that space.
 
  • #57
ttn said:
Huh? There is, to the contrary, no more fundamental difference than the difference between stuff happening "in observers" and stuff happening "in [physical, external] systems".

There is also no bigger difference than "subjective experiences" and "physical world". We take it that the physics of the physical observer (=body) is the same physics as anything else. However, you should admit that it is a totally different matter to say that the subjective experiences emerging from such a physical structure ought to follow the same physical laws. Subjective worlds are not objective worlds. It is the difference between epistemology and ontology.

...and the evasion of the ever-present fact that no such states have ever been observed to exist.

You mean, quantum superposition effects have not been indirectly observed ?
Interference has never been observed ?

What has never been observed (subjectively), is _by definition_ the superposition of two states of subjective observation. This is so *by very construction*!

You could just as well say that two different eigentimes have never been observed by one and the same observer and hence that never ever, any difference in simultaneity has been seen by one single observer.

That's where we disagree. Performing an experiment and getting an outcome is NOT merely having a certain kind of subjective experience. Reality is not virtual reality.

THIS is what I'm trying to make you see: it is a statement which is absolutely not evidently true, and in fact, for which not the slightest ounce of scientific proof can be advanced, by its very ontological nature.

When you "see a chair", do you:

1) observe directly a chair ?
2) observe directly electromagnetic radiation coming from the chair ? (holography!)
3) observe directly photochemical processes in your retina ?
4) observe directly nervous pulses from the ocular nerve ?
5) observe directly certain brain states ? Quantum brain states or classical brain states ?

Where is the scientific evidence which FALSIFIES that you are observing a brain state ? I try to make you see that your position is not given by any *scientific* argument, but by a philosophical argument (and so does mine).

This is not an argument I invent. It is a well-known position, which posits the separation between ontological and epistemological argumentation.

Except that the only way of coming even remotely close to making MWI possible to consider seriously (let alone accept), is to adopt a very radial anti-scientific philosophical position about the basic relationship between consciousness and its objects -- namely, that (for all we know) consciousness *has* no objects.

Yes, but that is not an anti-scientific position. You cannot do an experiment in which you FALSIFY that position (which is the only way of calling a position anti-scientific). The proposition is scientifically neutral. It is a philosophical position which is entirely compatible with all of science. It is not a scientific position, but it is not anti-scientific either. However, it forms the basis of a view which IS scientific, in the sense that it makes predictions of observations which are entirely in agreement with what is observed.

Ontological positions are philosophical positions. They are never scientific positions: scientific positions are purely epistemological. You make one, I make another one. Yours don't allow certain forms of scientific theories, while mine does. As such, you allow a purely philosophical position (because an ontology assumption) to interfere with the construction of scientific theories, while I don't.

This is the same kind of BS argument one used to always hear about Bohmian Mechanics -- "oh, that's just philosophy". So it is. But for Bohm's theory, the philosophy is good philosophy, true philosophy.

:smile: :smile:

You see, that's where you go wrong. There is no "good" and "bad" philosophy. There is no "good" and "bad" ontology.

It's not valid to dismiss one thing because it's "philosophical" when what one advocates instead is equally philosophical -- and it's particularly invalid when the philosophy one advocates instead is an embarrassing unscientific pile of poo.

As always, it comes down to an emotional argument. There is no rational, scientific argument against MWI, no more as there is against Bohmian mechanics, or for that matter, any other form of interpretation. Your classification of "good philosophy" and "bad philosophy", and the argument of wanting ontological positions to be scientific or anti-scientific illustrate the issue.

But there is a scientifically based argument:

The whole idea that "the formalism should [or could] speak for itself" is philosophy.

That is, let us not IMPOSE a priori philosophical arguments! Let us see what we have formally derived from our epistemological knowledge (and that IS science), and then let us stop there and take that as the only suggestion for an ontological position.

In other words, in as far as we are going to have to make a philosophical choice - which is: to make a hypothesis of ontology - let us try to be as unbiased as possible, and take as a suggestion (and nothing more than this), what we derived formally from the scientific method. In other words, because I have not much confidence in any a priori philosophical requirements, I try to take the position in which I give as few a priori input from that side as possible.

This is, by itself, indeed a philosophical position. You can choose something else (visibly you do so). However, there is not more or less merit to one philosophical position over another. So all argumentation of "this is BAD philosophy", this is RUBBISH, we all KNOW that it isn't (ontologically) true, ... are demonstrations of lack of genuine arguments (and essentially emotional statements).

As I said, I have never seen an argument that is NOT of this kind against MWI.

There is of course no scientific "proof" of MWI anymore than there could be a proof of Bohmian mechanics or anything else, given that they are all based upon ontological statements which are, by definition, philosophical positions, and not scientific ones. The only things that one can demonstrate scientifically, are epistemological concepts.

The advantage of MWI, for those who consider that an advantage, is that it doesn't require any change to the formalism. It takes the quantum formalism as is. In other words, in MWI, we don't permit weak philosophical a priori arguments to intervene in the formulation of a scientific theory. In MWI, we do not require a choice between fundamental principles on which the formalism is based, just for the sake of an extra philosophical requirement one might have.

It is the only use of MWI: to help one accept the formalism as it is, and to refrain from the desire to intervene in the formalism (and render it less "principle-based", just for the sake of some or other philosophical requirement). It helps one to accept quantum mechanics as something which might be a fundamental theory.

And this, by itself, has scientific merit. Indeed, although a position such as Bohmian mechanics can maybe run after the facts, and - especially in the domain of quantum field theory - with a lot of difficulty, ACCOMODATE what has been discovered formally before, admit that, if in the 30ies one would have gone for Bohmian mechanics (remember, no spin!), it would not have been an inspirationally fruitful ground in order to do things such as gauge theory. The modifications to the formalism required by the philosophical position which is at the basis of Bohmian mechanics, wouldn't have facilitated all the discoveries in QFT that followed. Bohmian mechanics is not "wired up" to suggest things such as gauge invariance. At most, with some difficulty, it can accommodate. This is because Bohmian mechanics has KILLED certain principles, of which one had to put the effect again in by hand.

THIS is why I consider it as not a happy idea to fiddle with the formalism just for the sake of some philosophical position, but rather, to let the formalism speak for itself.

EDIT: this is also why I don't mind the "shut up and calculate" position. In as far as one doesn't feel the urge to consider fiddling with the formalism for any other reason than observational, or for reasons of mathematical/formal consistency, that is fine.
It is when one starts to want to do things to the formalism JUST for the sake of philosophical positions, and by that, render the mathematical/formal system less "smooth", "simple" (Occam)... that one is making a potentially expensive mistake.
 
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  • #58
vanesch said:
It is a mathematical object, of course.

But does that "mathematical object" in some way *describe* the "one objective world" that you say exists according to MWI?
 
  • #59
vanesch said:
You mean, quantum superposition effects have not been indirectly observed ?

If we're being careful with terminology, "indirectly observed" is a contradiction in terms. Quantum superposition effects have been *inferred* -- inferred from things that have been directly observed.

But my point was to object to the specific thing you mentioned -- a human observer being in a superposition of two belief states. *That* has never been observed, and neither has anything been observed from which one could infer it.



When you "see a chair", do you:

1) observe directly a chair ?

Yes.

2) observe directly electromagnetic radiation coming from the chair ? (holography!)

No. You observe the chair by means of the electromagnetic radiation -- but of course one doesn't observe *that*. One is completely unaware of it for a long time (until one takes some physics classes, or in terms of the development of history, until the 19th century or so).


3) observe directly photochemical processes in your retina ?

No, one doesn't directly observe those. They are discovered much later by advanced scientific inference.


4) observe directly nervous pulses from the ocular nerve ?

No, same as above.


5) observe directly certain brain states ? Quantum brain states or classical brain states ?

No, same as above.



Where is the scientific evidence which FALSIFIES that you are observing a brain state ?

Claims which are obviously false to begin with don't require such "falsification". The falsification is that the word "observation" actually means something, and we simply do not observe brain states. The vast majority of people have literally never observed a brain.


I try to make you see that your position is not given by any *scientific* argument, but by a philosophical argument (and so does mine).

This is where we differ. You equate philosophy = ontology = arbitrary. But then practically everything in legitimate science is arbitrary made up bogus "philosophy", and what is *left* of science according to your conception is some ridiculous game of trying to account for "subjective experience" but without allowing yourself to believe ever that these experiences are experiences *of* anything. And that is a fundamental, fatal, philosophical flaw in your whole way of thinking about all of this. Consciousness *means* consciousness *of* *something*. To be *aware* of something, is to be aware *of something*. Consciousness without an object is a contradiction in terms. So your whole conception of science which is based on this fundamental philosophical error falls apart.

By contrast, my conception of science is also based on a philosophy. But mine is based on a valid philosophy, not an invalid one. (See, we disagree about whether philosophy = arbitrary, and hence about whether there can be such a distinction as good vs bad philosophy. Ironically, it's bad philosophy which makes you think there's no such difference.) Mine is based on a philosophy that is "scientific" (though that is admittedly an imprecise term here) in the sense of being based on empirical observation -- for example, the observations by which we arrive at basic concepts like "consciousness".



Yes, but that is not an anti-scientific position. You cannot do an experiment in which you FALSIFY that position (which is the only way of calling a position anti-scientific).

Or at least so says the philosopher Karl Popper.

That's the problem here. It's just what I've been saying over and over again. You're convinced that (a) philosophy is just arbitrary crap and we shouldn't ever let it influence our scientific thinking, and (b) that you can prove that by appeal to certain philosophical doctrines which you regard as just obviously true beyond the shadow of any doubt.

Don't you see the problem there? In (b) you confess that it is necessary to have a philosophical base for one's whole conception of the nature and goals of science, which in turn influences how one assesses specific things in science. But because of (a) you refuse to take *seriously* the task of then working out what philosophy is right, and what the right conception of science is. So you're caught in a vicious circle.


Ontological positions are philosophical positions. They are never scientific positions: scientific positions are purely epistemological.

See, I think that is just preposterous nonsense. (No, that's not an emotional statement, just an honest, dry, factual assessment.)

"There's a table in front of me." "Matter is made of atoms." "There's another planet beyond Uranus which is perturbing its orbit through gravitational forces." "Novae in the sky are caused by the core-collapse of a supermassive progenitor star whose core comes to exceed the Chandresekhar limit." "Genetic inheritance occurs through the mechanism of DNA splitting and recombination."

To you all of these are evidently "philosophical", not science. But look at what is left of science without these things! As a simple empirical statement based on looking at the history of thought and which things we use the word "science" to distinguish from which others, it is quite clear that your conception of "science" is simply *wrong*. You are fatally mis-classifying what is and what is not science.



You make one, I make another one. Yours don't allow certain forms of scientific theories, while mine does. As such, you allow a purely philosophical position (because an ontology assumption) to interfere with the construction of scientific theories, while I don't.

But you see, you do. Even worse than I do. That we can't be sure whether there are really tables and cats, is a philosophical position (maybe not exactly "ontological", but "anti-ontological" and surely about the same *issues* that what you call "ontological" positions are about).




You see, that's where you go wrong. There is no "good" and "bad" philosophy. There is no "good" and "bad" ontology.

I don't agree. There is good and bad philosophy. I mean, even you know that there have been all sorts of conflicting philosophical positions put forward on all sorts of points. They can't all be equally right. I guess your view is that they're all equally wrong, equally empty, equally nothing, equally pointless. But I completely and totally disagree. The issues (or at least some of them) are crucial, and are fundamental to science. We need answers to them. And so we need to distinguish the right answers from the wrong answers.

As to ontology: someone who starts their philosophy by saying "I just know a priori that there is a god, and that he is omnipotent, omniscient, and has really great hair to boot" is doing bad philosophy. Someone who starts their philosophy by saying "I know there are tables and chairs because I *see* them and I know I am conscious" is doing good philosophy.




As always, it comes down to an emotional argument. There is no rational, scientific argument against MWI, no more as there is against Bohmian mechanics, or for that matter, any other form of interpretation.

So then how the heck can you justify spending all this time arguing about it? How can you justify considering yourself a proponent of MWI? To you this is all just a pointless game, in which we know going in that there is no answer, no way to actually establish what is true, what the world is really like (even if it takes hundreds of years)? Not to me.



That is, let us not IMPOSE a priori philosophical arguments!

What you refuse to see is that philosophy doesn't necessarily have to be "a priori". I reject completely the idea of "a priori". I'm an empiricist. And yet I believe philosophy is important and valid. To you that's a self contradiction I guess -- because you refuse to see that all your beliefs are influenced by the philosophy *you* (unwittingly?) accept.



Let us see what we have formally derived from our epistemological knowledge (and that IS science), and then let us stop there and take that as the only suggestion for an ontological position.

But I completely agree with this. It's just that I think we can be 100% certain, based on what you call "epistemological knowledge" (by which I assume you just mean "empirical", based in observation), that there are tables and chairs and cats (not to mention extra-solar planets, atoms, dark matter, etc.). You disagree because you define epistemology/empiricism/experience differently, which is a *philosophical issue*. But you are blind to the fact that you take this radical philosophical position and that it actually influences everything you are saying. Everybody else has an accent.




In other words, in as far as we are going to have to make a philosophical choice - which is: to make a hypothesis of ontology - let us try to be as unbiased as possible, and take as a suggestion (and nothing more than this), what we derived formally from the scientific method.

I agree, in so far as we are talking about questions of unobservables, things that have to be inferred from what is observed. There is no such debate over things that are directly observed. As an empiricist, I believe there is no possibly better warrant for believing something exists, than that I *see* it. Since any *other* warrant (some complex chain of scientific inference) has to be *based exclusively* on empirical/observational evidence, the end of such a chain could never be more certain than the things at its base. So if you don't think tables are real, if you don't think *seeing* them is enough evidence to "prove" that they are really there, then you are never going to be able to believe in *anything* unobservable (atoms, extra-solar planets, etc.). Indeed, you won't believe in anything at all. You'll have to end up a solipsist, trying to twist and turn to reconceive things like science in light of that radical (unscientific) philosophical position.

And this is precisely the argument against MWI that began this thread. You believe in MWI, which posits (kinda) a single objective world that is very very odd and unfamiliar indeed. What possible reason could you have to believe in this? Well, if we leave aside "a priori revelations" (which we both reject as invalid, unscientific) the answer *must* be: observation. But all of those observations that could possibly be relevant are observations of familiar material objects like tables, chairs, cats, pointers, computer screens, etc. And so if none of those things really exist as such, the whole alleged chain of reasoning that leads you from them to MWI falls apart, it fails to connect at the first link. So any such argument for MWI (i.e., any argument which appeals ultimately to *observation*, i.e., any *scientific* argument) is self-defeating. That is why it's impossible to take MWI seriously as a scientific theory.


In other words, because I have not much confidence in any a priori philosophical requirements, I try to take the position in which I give as few a priori input from that side as possible.

Well it's scorched Earth for me: I accept *no* "a priori input". Including such things as: some preposterous definition of "consciousness" that is *not* based on empirical observation, the idea that there is rational grounds for doubt about the existence of tables and chairs, etc...



There is of course no scientific "proof" of MWI anymore than there could be a proof of Bohmian mechanics or anything else, given that they are all based upon ontological statements which are, by definition, philosophical positions, and not scientific ones. The only things that one can demonstrate scientifically, are epistemological concepts.

By which you mean: "subjective inner-theater impressions." So you are a solipsist masquerading as a scientist.




...if in the 30ies one would have gone for Bohmian mechanics (remember, no spin!), ...

Huh? Are you saying "spin" can't be incorporated into Bohm's theory? If so, you display your ignorance of the theory. It's trivial. Make the wave function a spinor, and replace the guidance formula with

v ~ Im[ (psidagger grad psidagger) / (psidagger psi) ]

and change the hamiltonian in the standard ways.

That's it. You get the right predictions for stern-gerlach, and everything else handled by the corresponding orthodox non-relativistic theory of spinning particles.

Or maybe you meant something else.



THIS is why I consider it as not a happy idea to fiddle with the formalism just for the sake of some philosophical position, but rather, to let the formalism speak for itself.

Those voices you hear in your head are not the formalism. :smile:
 
  • #60
ttn said:
If we're being careful with terminology, "indirectly observed" is a contradiction in terms. Quantum superposition effects have been *inferred* -- inferred from things that have been directly observed.

Correct.

But my point was to object to the specific thing you mentioned -- a human observer being in a superposition of two belief states. *That* has never been observed, and neither has anything been observed from which one could infer it.

Well, personally, I consider an EPR-kind of experiment as exactly such a situation. The only problem is that one had to ressort to a trick to get two human beings in a "different basis" wrt each other (which is necessary to get interference experiments): namely by having them entangle with two different basis expansions of the singlet state (by using spin analysers at different angles).

Typically, how does one determine quantum interference ? One looks at whether a statistical mixture gives the same predictions as the proposed interference. That is: we make a setup in which, say, two possible classical states are present (in one basis), and then one analyses a result. If that result can be obtained by a statistical mixture of the two classical basis states, then there is no proof of interference ; if, on the other hand, there is a difference, then there is interference.

In the double-slit experiment, that's what happens:
there are two slits, and the two classical states are: went through left slit, and went through right slit. Now, any classical statistical mixture of particles going through the left slit and going through the right slit, no matter what is their subsequent dynamics, will give you a whole possibility of pictures on the screen, but NONE OF THEM corresponds to an interference pattern. Hence, the observation of the interference pattern in the double-slit experiment is a proof of quantum interference.

Now, humans are too big objects to send then through a pair of slits, and the problem is that they quickly entangle with their environment and hence amongst themselves. As such, it is not easy to find two "classical states" of a human which we will analyse according to another basis.
But there is a trick! We can entangle a human with a spin measurement along one axis, and look ourselves at a spin measurement along another axis. If we start out with an entangled singlet state, then OUR "resulting state" will be a combination of classical states of that other human (the classical states of that other human are: saw up OR saw down, according to his axis).
Given the spacelike separation, we are also sure that no premature decoherence will take place.
Now, we have to make sure that *no statistical mixture of his states* is ever going to explain the entire "pattern of interference" (that is, the correlation tables with our outcomes!) observed. If that is the case, then we know that the human being underwent an interference effect, which is a pure quantum state effect. Well, Bell's theorem is exactly what is needed: Bell's theorem asserts that we cannot obtain a statistical mixture which will give us the entire "interference pattern" (the correlations).
As such, I claim that in an EPR experiment, we have in fact done an interference experiment on humans.

Ok, this has never been done, because the EPR effect is done by electronic means, and the temporal separation is too small for a genuine human to take notes of his observations, and "go and interfere with himself" when we observe him - but we take it that the extrapolation of an EPR experiment over, say, a few lightminutes with human observers would not essentially change the result.

This is about only interference experiment that is readily executable with humans with reasonable technology.



Yes.

You directly observe a chair ? Even if it is dark and so on ? Even if you don't have eyes, nerves or anything ? (because if the observation is direct, and is the proof of the ontology of the chair, it shouldn't depend upon observational conditions ! It is direct!)

Come on.

You observe the chair by means of the electromagnetic radiation -- but of course one doesn't observe *that*. One is completely unaware of it for a long time (until one takes some physics classes, or in terms of the development of history, until the 19th century or so).

Exactly. So it took quite some analysis to determine that what we subjectively experienced as a "direct observation" was a whole chain of physical processes. Illustrating that what one intuitively *thinks* is "direct observation" is a very complicated process.

Also, if you "directly observe" a chair in a very good hologram, is that chair there then really ? According to you, there REALLY ARE chairs inside a hologram.

Do you say hello to the little man in the mirror ?

No, one doesn't directly observe those. They are discovered much later by advanced scientific inference.

Exactly. Scientific discovery can show that what was long thought to be "direct observation" is in fact a totally different physical process, giving us the *illusion* of something real (and our brains are wired up to jump all these intermediate steps, and give us such an impression).


Claims which are obviously false to begin with don't require such "falsification".

Such certainties is where science ends and dogma begins.

The falsification is that the word "observation" actually means something, and we simply do not observe brain states. The vast majority of people have literally never observed a brain.

You mean that our sensations do not find their origin in brain activity ?

This is where we differ. You equate philosophy = ontology = arbitrary. But then practically everything in legitimate science is arbitrary made up bogus "philosophy", and what is *left* of science according to your conception is some ridiculous game of trying to account for "subjective experience" but without allowing yourself to believe ever that these experiences are experiences *of* anything. And that is a fundamental, fatal, philosophical flaw in your whole way of thinking about all of this. Consciousness *means* consciousness *of* *something*.

Ah ? What's that kind of an argument ? Where do you get that from ?
So you mean that the ontological question is evident ? That's a very remarkable philosophical statement ! As I said, it is ONE specific view, and it is called "naive realism". You are picking ONE SINGLE philosophical position upon the ontological question, and you claim that it is the one and only, and that everything else is *necessarily* bogus, evidently false, ...
I find that personally a very close-minded position.

To be *aware* of something, is to be aware *of something*. Consciousness without an object is a contradiction in terms. So your whole conception of science which is based on this fundamental philosophical error falls apart.

Now, THAT's an irrefutable argument !

Come on: you simply STATE your conclusion, and consider that as a proof that my position falls apart.

By contrast, my conception of science is also based on a philosophy. But mine is based on a valid philosophy, not an invalid one. (See, we disagree about whether philosophy = arbitrary, and hence about whether there can be such a distinction as good vs bad philosophy. Ironically, it's bad philosophy which makes you think there's no such difference.) Mine is based on a philosophy that is "scientific" (though that is admittedly an imprecise term here) in the sense of being based on empirical observation -- for example, the observations by which we arrive at basic concepts like "consciousness".

So in short, the argument is: I say something different than you, and because what I say is right, yours must be wrong. QED.
 

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