Incompleteness of Griffiths' consistent histories interpretation

In summary: Everett interpretation" was not considered due to the fact that it would have required "erasing the history of the interpretation" (to paraphrase Saunders).This is the principle of Liberty: the physicist can use whatever framework he chooses when describing a system.This is a nice principle, but it raises the question whether it would not be more straightforward to require only ##\operatorname{Re}D(\alpha,\beta)=0## for all ##\alpha\neq \beta##, which would be enough to ensure that applicability of classical logic and probability theory within a single framework.This is not done, because of the observation by Lajos Diós that the (canonical)
  • #71
gentzen said:
And the point of view that quantum mechanics can be regarded as a generalized probability theory, and one of the tasks for interpretation is to describe how to use such a generalized probability theory appropriately doesn't seem to be limited to consistent histories proponents either. Even people like Scott Aaronson hold that view, and teach it to their students, without also teaching consistent histories.
I don't have problems with thinking about QM as a generalized probability theory. But probability theory, at least in classical (statistical) physics, tells us what we can know about the physical system, not what its objective properties independent of our knowledge are. The CH interpretation, on the other hand, claims that it tells us something about objective properties of the physical system, which I cannot reconcile with the idea that it is only a generalized probability theory.
 
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  • #72
gentzen said:
I would even object to "change of logic" in the first place. Isn't the point rather to continue using normal logic and probabilistic reasoning, without accidentally running into paradoxes?
Let me explain my point on an example. I will use an analogy between frames in relativistic physics and frameworks in the CH interpretation. In relativity you can combine statements from different frames. For example, it is meaningful to say

Earth is moving in the Sun's frame, and Earth is not moving in the Earth's frame.

By contrast, in the CH interpretation it is not meaningful to say

Particle has spin ##s_x=\frac{1}{2}## in the ##X##-framework, and particle has spin ##s_y=\frac{1}{2}## in the ##Y##-framework.

Thus we see that frames in classical physics and frameworks in the CH interpretation of quantum physics obey different rules for combination of statements. But those different rules are logical rules, hence the CH interpretation is based on a different logic.
 
  • #73
Demystifier said:
I don't have problems with thinking about QM as a generalized probability theory. But probability theory, at least in classical (statistical) physics, tells us what we can know about the physical system, not what its objective properties independent of our knowledge are.
But "normal" probability theory is not a theory of "the physical system". Instead, it has an event algebra (at least if presented in Kolmogorov style), and that event algebra has a structure (namely it is a Σ-algebra) that "hints at the existence" of objective atomic properties, especially in the finite case.

So a generalized probability theory should not be forced either to be a theory of "the physical system". Nevertheless, it should still be sufficiently clear what the knowledge or probabilities are about. For consistent histories, those are the histories within a single framework.

Demystifier said:
The CH interpretation, on the other hand, claims that it tells us something about objective properties of the physical system, which I cannot reconcile with the idea that it is only a generalized probability theory.
Do you have a reference for "CH ... claims that it tells us something about objective properties of the physical system"?

Demystifier said:
Let me explain my point on an example. I will use an analogy between frames in relativistic physics and frameworks in the CH interpretation. In relativity you can combine statements from different frames.
Nobody ever claimed any analogy between frames in relativistic physics and frameworks in the CH interpretation.

The point of CH is exactly that you should not combine statements from incompatible frameworks.
 
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  • #74
gentzen said:
Nobody ever claimed any analogy between frames in relativistic physics and frameworks in the CH interpretation.
Griffiths, arXiv:1105.3932, page 9: "Similarly, choosing a framework is something like choosing an inertial reference frame in special relativity. The choice is up to the physicist, and there is no law of nature, at least no law belonging to relativity theory, that singles out one rather than another. Sometimes one choice is more convenient than another when discussing a particular problem; e.g., the reference frame in which the center of mass is at rest. The choice obviously does not have any influence upon the real world. But again there is a disanalogy: any argument worked out using one inertial frame can be worked out in another; the two descriptions can be mapped onto each other. This is not true for quantum frameworks: one must employ a framework (there may be several possibilities) in which the properties of interest can be described; they must lie in the event algebra of the corresponding PD."
 
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  • #75
gentzen said:
Do you have a reference for that claim? I would even object to "change of logic" in the first place.
Griffiths, arXiv:1105.3932.

page 4: "First, the quantum world must be understood using an appropriate form of
reasoning with features which differ not only from ordinary propositional logic, ..."

page 26: "The new logic, in which conjunctions and other combinations of incompatible quantum propositions, represented by noncommuting projectors, are ruled out of acceptable quantum descriptions by the single framework rule, represents a radical break with classical physics."

page 27: "It is a form of quantum logic in the sense of a scheme for correct reasoning in the quantum domain that differs from the logical scheme of
classical physics."
 
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  • #76
Demystifier said:
Let me explain my point on an example. I will use an analogy between frames in relativistic physics and frameworks in the CH interpretation. In relativity you can combine statements from different frames. For example, it is meaningful to say

Earth is moving in the Sun's frame, and Earth is not moving in the Earth's frame.

By contrast, in the CH interpretation it is not meaningful to say

Particle has spin ##s_x=\frac{1}{2}## in the ##X##-framework, and particle has spin ##s_y=\frac{1}{2}## in the ##Y##-framework.

Thus we see that frames in classical physics and frameworks in the CH interpretation of quantum physics obey different rules for combination of statements. But those different rules are logical rules, hence the CH interpretation is based on a different logic.
But in classical physics you cannot say "The Earth is moving in the Sun's frame with velocity ##v=\frac12## (with a certain choice of units). And the Earth is moving with velocity ##v=-\frac12## in the Earth's frame." So it doesn't seem that different from CH, does it?
 
  • #77
Demystifier said:
Griffiths, arXiv:1105.3932, page 9: "Similarly, choosing a framework is something like choosing an inertial reference frame in special relativity. The choice is up to the physicist, and there is no law of nature, at least no law belonging to relativity theory, that singles out one rather than another.
That phrasing indeed seems "unlucky" to me, because there are laws of nature (in the case of CH) that make most "formally valid choices" at least useless. Of course, that does not single out any specific single framework, but it is still completely different from the situation in special relativity.

Demystifier said:
... The choice obviously does not have any influence upon the real world. But again there is a disanalogy: any argument worked out using one inertial frame can be worked out in another; the two descriptions can be mapped onto each other. This is not true for quantum frameworks: one must employ a framework (there may be several possibilities) in which the properties of interest can be described; ..."
Here Griffiths tries to rescue it after the damage was done. At least he didn't use the word "analogy" before, and here he explicitly uses the word "disanalogy".
 
  • #78
gentzen said:
Do you have a reference for "CH ... claims that it tells us something about objective properties of the physical system"?
Griffiths arXiv:1105.3932.

Sec. 6.3: "Objective properties of isolated individual systems do not change when something is done to another non-interacting system. ... Essential to the argument is, of course, the assumption that any objective properties of A must be represented by projectors on its Hilbert space, and if the family of histories contains a sequence of such properties at three or more times (including the initial time) then the consistency conditions are satisfied. The properties of A are objective in the sense that the whole situation is modeled from the perspective of a
physicist who is outside the system being described."

page 26: "One can speak of an objective quantum reality: different observers can agree because there is something “out there” in the world, external to themselves, about which agreement is possible"
 
  • #79
gentzen said:
but it is still completely different from the situation in special relativity.
Yes, that's what I pointed out in #72.
 
  • #80
Demystifier said:
Yes, but I see different frameworks as different ways to talk and think about physics. I don't see them as properties of the nature itself. Just like choosing this or that system of coordinates in relativity theory are different ways to talk and think about physics, while nature itself is a Minkowski spacetime which does not have any coordinates at all. My problem with consistent histories interpretation is that I don't see what is the analog of the Minkowski spacetime without coordinates.
There simply is no such analogy to the Minkowski spacetime without coordinates. (At least CH does not provide such an analogy.)

From "Do we really understand quantum mechanics?" as the conclusion how CH leaves the Schrödinger cat paradox unsolved:
Franck Laloë said:
One would much prefer to have a “super-consistency” rule that would eliminate these superpositions; this would really solve the problem, but such a rule does not exist for the moment. At this stage, one can then do two things: either consider that the choice of sensible histories and reasonable points of view is a matter of common sense – a case in which one returns to the usual situation in the traditional interpretation, where the application of the postulate of wave packet is also left to the good taste of the physicist; or invoke decoherence and coupling to the external world in order to eliminate all these unwanted families – a case in which one returns to the usual situation where, conceptually, it is impossible to ascribe reasonable physical properties to a closed system without referring to the external world and interactions with it.
 
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  • #81
gentzen said:
Do you have a reference for "CH ... claims that it tells us something about objective properties of the physical system"?
Demystifier said:
page 26: "One can speak of an objective quantum reality: different observers can agree because there is something “out there” in the world, external to themselves, about which agreement is possible"
That statement is fine in the context of that paper, because Griffiths had clearly separated such statements from the logic (system of reasoning) part. From the abstract:
The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed... Second, quantum time development is treated as an inherently stochastic process under all circumstances, not just when measurements take place. The time-dependent Schrödinger equation provides probabilities, not a deterministic time development of the world. The resulting interpretive framework has no measurement problem and can be used to analyze in quantum terms what is going on before, after, and during physical preparation and measurement processes.

It is fine for Griffiths to have an opinion on how QM should be interpreted. He didn't claim that this part of the interpretation would follow from the logic part.
Demystifier said:
Sec. 6.3: "Objective properties of isolated individual systems do not change when something is done to another non-interacting system. ... Essential to the argument is, of course, the assumption that any objective properties of A must be represented by projectors on its Hilbert space, ...
In CH, there are objective properties within a single framework. So in this sense, talk of objective properties is fine.

Still, that section is difficult for me. My initial question here was about incompleteness issues of CH when it comes to composition of independent systems. This section talks about "isolated individual systems" and "another non-interacting system", i.e. precisely about that stuff were I am unsure whether the logical language of CH doesn't currently have issues. But an analysis of whether that section is fine should be done it terms of CH itself, not based on a misunderstanding of what it tries to achieve, or what it means when it talks about "objective properties".
 
  • #82
gentzen said:
From "Do we really understand quantum mechanics?" as the conclusion how CH leaves the Schrödinger cat paradox unsolved:
Would you agree that CH leaves the Schrödinger cat paradox unsolved?
 
  • #83
martinbn said:
in classical physics you cannot say "The Earth is moving in the Sun's frame with velocity ##v=\frac12## (with a certain choice of units). And the Earth is moving with velocity ##v=-\frac12## in the Earth's frame."
Yes, you can say this in classical physics. That is @Demystifier's point. Both of these statements can correspond to the same invariants in classical (relativistic) physics, so they can both be true at the same time. In other words, statements in different frames in classical physics are compatible. But in the quantum CH case there are no "invariants" that stay the same when you change frameworks. Statements in different frameworks are not compatible. So the claimed analogy with classical physics is not valid.
 
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  • #84
Demystifier said:
Would you agree that CH leaves the Schrödinger cat paradox unsolved?
Griffiths and Omnès are both clear that the cat is either dead or alive, long before the box is opened. But as Omnès said, they cannot prove it. There are frameworks in which the cat is indeed either dead or alive, so in this sense there is no paradox in CH. But there are no good general rules to exclude those frameworks were it is not.

But my own opinion should not be overly important anyway. In the end, just like "most everybody else", I am unwilling to read the 54 pages of Griffiths original paper from 1884, or the 100 pages of an important report by Gell-Mann & Hartle from 1991. What I do read (completely) is shorter stuff, like Griffiths' SEP article, the section in Weinberg's book, the section in Laloë's book, or the section in Schlosshauer's old survey on decoherence. That stuff seems "well written" to me, and I see no reasons for me to object to them. I quoted them (Weinberg & Laloë), because what they wrote seemed valid to me.

For me, it is a much more difficult decision what to do with stuff like:
Heidi said:
what do you think about the consistent histories interpretation?
Demystifier said:
It gives the probability of sequences of results, but it is based on the Wigner formula which does not depend on interpretation. See e.g. Appendix B in my recent https://arxiv.org/abs/2107.08777.
I cannot see how anything ignoring the consistency condition should be a valid summary of CH.

Demystifier said:
As long as it does not solve the problem of one measurement as you say, I think that this interpretation does not serve a purpose that an interpretation of QM is supposed to serve.
An honest incomplete interpretation like CH that I can understand "easily" seems much more useful to me than a supposedly complete interpretation like MWI, where I can forever read long articles without ever fully understanding it.
 
  • #85
gentzen said:
An honest incomplete interpretation like CH
I think I still haven't seen that the proponents of CH say that it is incomplete.
 
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  • #86
Demystifier said:
I think I still haven't seen that the proponents of CH say that it is incomplete.
How exactly would you like them to say it? Perhaps in the way of only presenting the part with the single framework and the consistency condition, and then mentioning the role of decoherence for narrowing down the choice of frameworks? Or being even more explicit about the need for decoherence, and the difficulties of "integrating" it with the exact decoherence condition? Or is it enough that most summaries present certain difficulties of CH, and the proponents don't contradict those summaries?

How about this interview of Gell-Mann (the video has a transcript below)?
Gell-Mann said:
Do you think ... that the traditional way of teaching quantum mechanics ... should evolve into teaching it more from the sum over histories viewpoint?

Well the… not only the sum over histories viewpoint, but the decoherent histories viewpoint. Well, when the point of view is perfected, which may be very soon, I think that's true. ...

Or this quote from page 214 of “Quantum Philosophy”?
Roland Omnès said:
… have reproached quantum physics for not explaining the existence of a unique state of events. It is true that quantum theory does not offer any mechanism or suggestion in that respect. This is, they say, the indelible sign of a flaw in the theory, … Those critics wish at all costs to see the universe conform to a mathematical law, down to the minutest details, and they certainly have reason to be frustrated.

I embrace, almost with prostration, the opposite thesis, the one proclaiming how marvelous, how wonderful it is to see the efforts of human beings to understand reality produce a theory fitting it so closely that they only disagree at the extreme confines. They must eventually diverge, though; otherwise Reality would lose its nature proper and identify itself with the timeless forms of the kingdom of signs, frozen in its own interpretation. No, science’s inability to account for the uniqueness of facts is not a flaw of some provisional theory; it is, on the contrary, the glaring mark of an unprecedented triumph. Never before has humanity gone so far in the conquest of principles reaching into the heart and the essence of things, but that are not the things themselves.
 
  • #87
PeterDonis said:
Yes, you can say this in classical physics. That is @Demystifier's point. Both of these statements can correspond to the same invariants in classical (relativistic) physics, so they can both be true at the same time. In other words, statements in different frames in classical physics are compatible. But in the quantum CH case there are no "invariants" that stay the same when you change frameworks. Statements in different frameworks are not compatible. So the claimed analogy with classical physics is not valid.
How can you say that the Earth's velocity in the Earth's frame is not zero?!
 
  • #88
martinbn said:
How can you say that the Earth's velocity in the Earth's frame is not zero?!
Yes, the statement I was responding to should be corrected to say that (or to say that the Sun's velocity in the Earth's frame is ##- \frac{1}{2}##). But that doesn't change the main point, which is that the two statements in different frames are compatible; they are both consistent with the same invariants. That is not true for statements in different frameworks in the consistent histories interpretation.
 
  • #89
Interesting discussion, I was never attracted to consistent histories, and after reading this I guess it is because I also feel that it's "incomplete", but as thinking about this if you are to make it "complete" perhaps it's not longer a pure interpretation but the seed for something more?

The issue of "selection among frameworks" is actually a central point to me, which is perhaps why I am not attracted to consistent histories as it's stated, some random reflections to add to the thread.

Demystifier said:
Griffiths, arXiv:1105.3932, page 9: "Similarly, choosing a framework is something like choosing an inertial reference frame in special relativity. The choice is up to the physicist, and there is no law of nature, at least no law belonging to relativity theory, that singles out one rather than another.
Sounds like associating the framework to a gedanken "inside-observer" to me, and the "gedanken observer", as opposed to REAL observer, is imagined to be insertable without affecting the rest of the system. This gedanken observer is treated mathematically and thus is up to the freedom of the physicists. But if one instead considers the idea to associate this "observer" with physical agents (ie matter). Then there will be a selection principle, namely any framework is allowed that is "represented" in the population. Environmental decoherence may be said to partly do the same, buy I think the explanatory logic of decoherence is exstrinsic and therefore not satisfactory, but the effect likely similar.

This is what I would like to "add" when reading this, but that is a more radical claim than CH. But it's what I think is missing.

Demystifier said:
Sometimes one choice is more convenient than another when discussing a particular problem; e.g., the reference frame in which the center of mass is at rest. The choice obviously does not have any influence upon the real world. But again there is a disanalogy: any argument worked out using one inertial frame can be worked out in another; the two descriptions can be mapped onto each other. This is not true for quantum frameworks: one must employ a framework (there may be several possibilities) in which the properties of interest can be described; they must lie in the event algebra of the corresponding PD."
One needs then to have a communication path in between the frameworks, that explains how views deform as they are communicated. This is manifest be the poincare transformations in classical physics, which is what one can make sense of the conjuction of information from differen observers. In classical physical observers can "share information".

In QM, "inside-observers" can not "share information" is it may break entanglements. My understanding here is the trying to do - what works well in the classical models - in quantum theory, necessariy involves physical interactions. Ie. one can not model observer-observer relations as a gauge, it must be modeled as actual interactions, that have duration in time.

This is how I arrived at my preferred interpretation, I agree with plenty of Griffiths writings, but as to wether Griffiths idea is the ultimate "pure interpratation" (ie disallowing suggesting improviing theory) I have never thought about.

PeterDonis said:
In other words, statements in different frames in classical physics are compatible. But in the quantum CH case there are no "invariants" that stay the same when you change frameworks. Statements in different frameworks are not compatible. So the claimed analogy with classical physics is not valid.
Yes, I agree, this is the core poitn. but if you for some reason you want to PUSH this analogy, what I wrote above is what I see as the natural path, and also what I might say is making the CH "incomplete"? But wether it's incomplete or not, may depend on wether it's admiddetly left incompete in order to NOT become a conjecture, but a pure interpratation? I haven't read up on CH history in detail to tell how the founders reason.

Edit: I corrected the terms, as I sometimes forget to no mix up standard notions with my own understanding. I used the term ""inside-observers" instead of observers so distinguish from the "classical observer" from say copenhagen, to what I interpret the "framework" in CH refers to.

/Fredrik
 
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  • #90
PeterDonis said:
But that doesn't change the main point, which is that the two statements in different frames are compatible; they are both consistent with the same invariants. That is not true for statements in different frameworks in the consistent histories interpretation.
One could ask, is it a problem that statements in different frameworks are inconsistent if they never interact?
I think no.

But if they do interact (whatever it means), new questions form. And I would like to ask these questions, but CH probably not?

/Fredrik
 
  • #91
PeterDonis said:
Yes, the statement I was responding to should be corrected to say that (or to say that the Sun's velocity in the Earth's frame is ##- \frac{1}{2}##). But that doesn't change the main point, which is that the two statements in different frames are compatible; they are both consistent with the same invariants. That is not true for statements in different frameworks in the consistent histories interpretation.
How? He gave an example of two statements in two frameworks that cannot be stated in CH. That is also true in classical physics, my example. What exactly was his point?
 
  • #92
Fra said:
One could ask, is it a problem that statements in different frameworks are inconsistent if they never interact?
What do you mean by "never interact"?

Also, the claim I was objecting to was that there is a valid analogy between different reference frames in relativity and different frameworks in CH. The fact that statements in different frameworks are inconsistent is a problem for that analogy; that was my point.
 
  • #93
martinbn said:
He gave an example of two statements in two frameworks that cannot be stated in CH. That is also true in classical physics, my example. What exactly was his point?
A reference was given to a claim by Griffiths that different frameworks in CH are analogous to different reference frames in classical physics. I objected to that claim because statements made relative to different frames in classical physics are compatible: they all refer to the same underlying invariants. But statements made in different frameworks in CH are not compatible: there is no common set of underlying invariants to which they refer.
 
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  • #94
Just in case: Griffiths makes the analogy only to highlight that frameworks are chosen at the physicist's convenience and are not selected by nature. He acknowledges that this is therefore a limited analogy:

From the excerpt supplied by Demystifier above:
"But again there is a disanalogy: any argument worked out using one inertial frame can be worked out in another; the two descriptions can be mapped onto each other. This is not true for quantum frameworks:" -- Griffiths
 
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  • #95
gentzen said:
He acknowledges that this is therefore a limited analogy:
oops, yes, changed.
 
  • #96
PeterDonis said:
Also, the claim I was objecting to was that there is a valid analogy between different reference frames in relativity and different frameworks in CH. The fact that statements in different frameworks are inconsistent is a problem for that analogy; that was my point.
Yes I understood that, and I agree.

PeterDonis said:
What do you mean by "never interact"?
I mean that it's at the point of comparasion that the inconsistency appears. To define the comparation operation of statements or views from two intertial frames in SR, you communicate or translate the information via a given transformation, then the transformations itself is chosen to make sure there is no contradiction and you havce invariants etc.

I mean, if the two observers don't have a defined way to communicate(=interact, exchange information) then there comparasion will never happen.

My point was that it seems the CH idea is that different frameworks are not interacting, and therefore the contradiction is not existing, it's just a set of inconstent descriptions that are not meant to be compared.

But then I pondered, what would be the point of that? How does it help? Then the idea was that if you were to force the frameworks into a comparasion, what could be physical interpretation of this be? and that might probably be more than an interpretation?

/Fredrik
 
  • #97
Fra said:
Sounds like associating the framework to a gedanken "inside-observer" to me, and the "gedanken observer", as opposed to REAL observer, is imagined to be insertable without affecting the rest of the system. This gedanken observer is treated mathematically and thus is up to the freedom of the physicists. But if one instead considers the idea to associate this "observer" with physical agents (ie matter). Then there will be a selection principle, namely any framework is allowed that is "represented" in the population. Environmental decoherence may be said to partly do the same, buy I think the explanatory logic of decoherence is exstrinsic and therefore not satisfactory, but the effect likely similar.

This is what I would like to "add" when reading this, but that is a more radical claim than CH. But it's what I think is missing.
Gell-Mann and Hartle touch on this in their papers on quasiclassicality like the ones below: Quantum theory doesn't privilege any decoherent set of histories, but users of quantum theory whose experiences are premised in quasiclassical properties of neurophysiology and biology will find sets of histories with these properties more useful.

https://arxiv.org/abs/quant-ph/0609190
"As discussed in Section II, coarse graining is necessary for probability. The families of decoherent sets of coarse-grained histories give rise to descriptions of the universe that are often incompatible with one another. As information gathering and utilizing systems (IGUSes), we use, both individually and collectively, only a very limited subset of these descriptions belonging to a compatible family of realms with histories and probabilities that manifest certain regularities of the universe associated with classical dynamical laws."
 
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  • #98
Morbert said:
Quantum theory doesn't privilege any decoherent set of histories, but users of quantum theory whose experiences are premised in quasiclassical properties of neurophysiology and biology will find sets of histories with these properties more useful.
This begs a question: Can CH interpretation explain why are users of quantum theory premised in quasiclassical properties? Or to remove users from the question, can decoherence in the CH interpretation explain why the world is quasiclassical?
 
  • #99
Demystifier said:
This begs a question: Can CH interpretation explain why are users of quantum theory premised in quasiclassical properties? Or to remove users from the question, can decoherence in the CH interpretation explain why the world is quasiclassical?
Re/ the first question: QM doesn't strictly rule out users that are not quasiclassical, but it is in sets of quasiclassical histories that we find regularities and predictabilities that processes like evolution depend on, so we should at least not be surprised that quasiclassical descriptions would contain biological systems like ourselves.

Re/ the 2nd question: Quasiclassicality is contingent on the choice of history set and so is more a feature of particular descriptions of the universe rather than a fact of the matter. We know that quasiclassical descriptions concern highly regular properties that lend themselves to systems like the human body and the laboratory, but it is interesting to speculate (as Gell-Mann and Hartle often do) if alternative, complementary descriptions also accommodate alien observers whose experiences aren't classical. Life might not just exist on distant planets, but might also move through those macroscopic properties that don't commute with our own.
 
  • #100
I don't know, how it is in some philosophical ideas about quantum mechanics, but the classical behavior usually is explained in terms of two different mathematical approximations:

(a) Take non-relativistic QM in the first-quantization formulation and write down the propagator of a single particle as a path integral. Then the quasiclassical approximation works when the action along the classical path is large compared to ##\hbar##, and the saddle-point approximation of the path integral around the classical action (stationary point of the classical action) can be taken.

(b) Via coarse graining: You have a many-body system for which it is sufficient to be described by "macroscopic collective observables", which boils down to be sums/averages over many microscopic degrees of freedom. Then usually these macroscopic observables change over large space-time scales and the rapidly fluctuating microscopic degrees of freedom can be averaged out. This usually leads to a hierarchy of different levels of classical equations (some transport equation and various versions of fluid-mechanical/hydro equations).
 
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  • #101
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  • #102
Morbert said:
Quasiclassicality is contingent on the choice of history set and so is more a feature of particular descriptions of the universe rather than a fact of the matter.
Which leads me to the crux of the problem. In CH interpretation, what is a feature of the matter (rather than a feature of particular descriptions)?
 
  • #103
Morbert said:
Gell-Mann and Hartle touch on this in their papers on quasiclassicality like the ones below: Quantum theory doesn't privilege any decoherent set of histories, but users of quantum theory whose experiences are premised in quasiclassical properties of neurophysiology and biology will find sets of histories with these properties more useful.

https://arxiv.org/abs/quant-ph/0609190
"As discussed in Section II, coarse graining is necessary for probability. The families of decoherent sets of coarse-grained histories give rise to descriptions of the universe that are often incompatible with one another. As information gathering and utilizing systems (IGUSes), we use, both individually and collectively, only a very limited subset of these descriptions belonging to a compatible family of realms with histories and probabilities that manifest certain regularities of the universe associated with classical dynamical laws."
I think the depth of reasoning in that paper is is not satisfactory at all. Except for some details that make no difference to the open problems, from my perspective, their ideas use the same "explanatory techniques" as decoherence + copenhagen interpretation, I can't see what new problems it solves?

- problem of unification, including gravity?
- fine tuning issues in such models (my argument is that an explanation that depends on an insane level of fine tuning, has no real explanatorty value)

They do acqknowlege superficially the issue of inside observers(good!)m but IMHO they do not take it as seriously, and they completely ignore the question of the explanation of the action of inside observers and how it may non-linearly affect the overall dynamics, and thus the problems of unification.

Instead it presumes essentially the existence of a hamiltonian and a state of the universe, and I guess treat the obvious fact that not inside process of quantum process tomography or quantum tomography can determine this. So the whole explanatory mechanis is built on something we do not know.

I know these things are not "interpretations" but my interest in interpretations are as a stance to progress, and I do not feel that this interpretations is a good stance, but it's just me.

/Fredrik
 
  • #104
Demystifier said:
This begs a question: Can CH interpretation explain why are users of quantum theory premised in quasiclassical properties? Or to remove users from the question, can decoherence in the CH interpretation explain why the world is quasiclassical?
Explain in terms of the hamiltonian of the universe and the total state of the universe perhaps, but what kind of "explanation" is that? It surely is not the sort of explanation I am looking for.

/Fredrik
 
  • #105
@Fra I'm not sure I understand your objections. I linked that paper to square two points:
i) CH does not select any set as more correct than any other
ii) We rely on sets of histories of quasiclassical/hydrodynamic variables to describe our experiences and observations

I.e. There is a selection principle imposed by our quasiclassical nature. It's just that it doesn't select sets of quasiclassical histories as more correct. Instead it selects sets of quasiclassical histories as more useful for quasiclassical beings like ourselves.

This is distinct from a typical Copenhagen treatment because while Copenhagen keeps the classical world outside our quantum description (either via a Heisenberg cut or a region of quantum-classical ambivalence), CH let's us describe all components of measurement quantum mechanically.
 

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