The notion of locality in (Quantum) Physics should be clearly defined

[Simple question]

There are no "magic dice". There's just relativistic QFT. As in any QT Born's rule..

Indeed, because dice of QFT are non-local, no magic is involved.
The Born's rule only project philosophical vector made of imaginary number into real philosophical numbers

the probabilistic meaning of the quantum states, is one of the basic postulates and part of the minimal statistical interpretation,

That's the only correct part of you sentence. Sadly your vague philosophy does not allow you to interpret it correctly.

which just accepts one of the great objective findings about Nature, i.e., that it is inherently random. There's no magic involved, it's just a fact about Nature,

Incorrect.
The only fact is that the theory in stochastic. If you understood how "natural science" works, without prejudice, you would be able to produce an experiment that show that events are "inherently random".
Good luck with that.
You would also produce a theory that mathematically predict where/when exactly/locally an event will occurs.
Good luck with that too.

which contradicts the outdated worldview of deterministic classical physics, and that's why many philosophers even today cannot accept it and build up all kinds of presumed paradoxes against this inevitable conclusion.

A conclusion should follow from premises using logic, not hand-waving. In my book equations of QM are linear, not "inherently random", not even "chaotic". Like "good old" classic theories.

Using your own maximal statistical interpretation, non-locality is clearly defined:
You can prepare an ensemble (a fiction) of identically prepared photons (a simple double slit experiment will do). But instead of running it 10 thousand time, you prepare 10 thousands labs, and you arrange them to run the ensemble all at once, and only once.

The result will still be described by QM. That's non-locality for you.

 

[PeterDonis]

the theory in stochastic

In my book equations of QM are linear, not "inherently random"

You are contradicting yourself. QM can't be both linear and stochastic.

In fact, which you consider it to be depends on which interpretation you adopt. According to the MWI, QM is in fact always linear and never stochastic. According to an interpretation in which collapse of the wave function is an actual, physical process, QM is stochastic and is not linear during wave function collapses.

 

[WernerQH]

The only fact is that the theory in stochastic.

I think I understand what you mean. Whether something in Nature is "inherently" random or not is undecidable -- until we happen to detect regular patterns (perhaps involving sequences like the digits of $\pi$?) we use probability theory as a workaround. Quantum theory (or its more powerful successor) might be based on deterministic laws, but Superdeterminism, even it were to be formulated some day, is unlikely to turn out to be useful. There is a reason why we use statistical mechanics. In my opinion, @vanhees71 has only very very slightly exaggerated the case for "inherent" randomness.

If [...], you would be able to produce an experiment that show that events are "inherently random".

I can't conceive of such an experiment, ever.

In my book equations of QM are linear, not "inherently random", not even "chaotic". Like "good old" classic theories.

There's more to quantum mechanics than Schrödinger's equation. The Born rule was added as an afterthought (in a footnote), but it is an integral part of the theory. Naively, I once thought it should be derivable somehow from Schrödinger's equation. It looked alien to the theory, and I found unitary evolution much more appealing than "measurements". Now I know better. The apparent determinism and continuity expressed by the time-dependent Schrödinger equation has misled many people to forget that quantum theory actually describes the graininess (discontinuities) and randomness we observe in the real world.

 

[Simple question]

You are contradicting yourself. QM can't be both linear and stochastic.

OK, let's not call it that. Will qualifying it "a probabilistic" theory do ?

In fact, which you consider it to be depends on which interpretation you adopt.

That's true as far as interpretation goes, but not as far as math goes. There is no mapping, no mathematical recipe, to map the theory to individual events.
And using probabilities requires an ensemble of events, a big one. I am concerned that @vanhees71 is not required to back up his extraordinary claims about "nature" 's locality, in all the sense of that word.

I found also strange that he does not recognize that QFT's micro-causality, which explicitly requires a non-local constraint to select the correct solutions using it's own equations, is thus either:

1. Unrealistic - that is: Nature cannot "behaves according to a local but non-realistic theory, namely relativistic local QFT", because Nature is real (by definition)... and nonlocal (in Bell's sense) and a-causal (in relativistic sense)
2. Realistic - that is: Nature does in fact solves QFT equations on the regular, using non-local "hardware" to probe the entire universe to check that everything commute.
   Still Nature can not use only QFT which is incomplete and cannot be used to produce events.
   So Nature is apparently also using a big non-local ledger, and big non-local dices to help keep ensemble in checks, which does not seems less "minimal" than WMI.

All this to safeguard the the outdated worldview of classical local physics.

 

[PeterDonis]

Will qualifying it "a probabilistic" theory do ?

No, the same issue I described is still there.

There is no mapping, no mathematical recipe, to map the theory to individual events.

That, again, depends on which interpretation you adopt. Some interpretations (such as the MWI and "objective collapse" interpretations) have this. Others (such as ensemble interpretations) don't.

using probabilities requires an ensemble of events

Yes, which means we cannot verify the basic math of QM (for example, the PF "7 Basic Rules" that I linked to) without running an ensemble of experiments using the same preparation and measurement procedures. But that does not mean QM interpretations cannot make claims about individual events or link them to the math. As noted above, many interpretations do that.

 

[PeterDonis]

QFT's micro-causality, which explicitly requires a non-local constraint to select the correct solutions

What non-local constraint are you referring to?

 

[Fra]

That's a good point. Bell proves what it proves under one additional assumption, which is a notion of mathematical macroscopic realism. This means that macroscopic measurement outcome exists even if nobody observes it, and that it can be analyzed mathematically.

The problem I have with this macroscopic realism of Bell, is that it does not just assume existence, it goes further and assume that this hidden variable determines the way the rest of the system interacts with it, in despited that the rest of the system is only "informed" about it's preparation. This is as if it's just the physicist that doesn't know the variable, therefore one assumes it's valid to simply make a classical "average" of the outcomes. This is the key assumption in Bells ansatz that was never plausible in my eyes, regardless of what you think about QM.

The pair needs to be ISOLATED not only from the physicists, but from ALL interactions(otherwise the entanglement is broken in QM terminology)

As far as I understand, the solipsist HV, has the exact same property, that are hidden not only to one particular observer - they are hidden to ALL obserers and ALL the environment, except the one that encodes it.

This is why it seems perfectly logically possible, that there are theories competing with QM, that also violates Bell inequality, becuase the set of theories it applies to is very narrow. So Bell inequality hardly proves that no other theory than QM, can do the same job ( or rather that there is more explanatory value to be found in such future theory, which is at the core of the discussion, though some seem to have no "need" for a better explanation)

/Fredrik

 

[DrChinese]

Let’s be clear about @vanhees71 assertions about QFT: there is nothing predicted by QFT regarding entanglement that wasn’t something equally predicted by QM. Things like entanglement swapping are not dependent on some nuance in QFT. So there is no sense in defining locality in terms of QFT.

In one form of locality: there is signal locality but there is no quantum nonlocality. In quantum nonlocality: signal locality is respected. But… expectation values are dependent on the measurement choices of distant observers. In another form of nonlocality: even signal locality is not respected.

No one is currently asserting this last version. The general consensus is that of quantum nonlocality, with full respect for signal locality. Again, how many quotes need to be provided here to back up a position? The existence of quantum nonlocality is posited as part of most experimental papers on the subject.

 

[vanhees71]

Let’s be clear about @vanhees71 assertions about QFT: there is nothing predicted by QFT regarding entanglement that wasn’t something equally predicted by QM. Things like entanglement swapping are not dependent on some nuance in QFT. So there is no sense in defining locality in terms of QFT.

True, entanglement is a generic property of QT, no matter whether it's relativistic or non-relativistic.

However, if you want to discuss whether a phenomenon obeys the assumption of locaility in the sense of relativistic causality, according to which space-like separated events cannot be in causal relation, you have to use a relativistic theory. There is no notion of locality in this sense in non-relativistic physics (neither in classical nor quantum theory). So it's no surprise that there's no constraint on causal connections between events, i.e., it's no contradiction that there are instantaneous interactions possible (to the contrary, it's the usual paradigm in non-relativistic physics as in Newtonian theory of gravitation). Of course it's very clear that Newtonian physics is only an approximation to relativistic physics and Nature behaves relativistically, i.e., the locality principle (in the above defined sense of relativistic causality) must be fulfilled, and that's why it's implemented into local relativisic QFT via the microcausality constraint, i.e., space-like separated local observable-operators must commute at space-like separated arguments.

Of course, experiments with photons must be described by QED, and all Bell tests, demonstrating the inseparability of entangled states, which is unfortunately and misleadingly called a "non-local" effect, although there's no violation of relativistic causality constraints whatsoever within QED.

In one form of locality: there is signal locality but there is no quantum nonlocality. In quantum nonlocality: signal locality is respected. But… expectation values are dependent on the measurement choices of distant observers. In another form of nonlocality: even signal locality is not respected.

Of course are the outcomes of measurements dependent on the choice what's measured. It's also demonstrated that in such measurements the causal order of local measurements on parts of the systems doesn't play any role. The measurement events (i.e., the moment where at the place of the detector a measurement results gets manifest) can even be space-like separated. Together with the microcausality constraint of relativistic QFT this implies that there cannot be any causal connection between these measurement events, and indeed the correlations described by entanglement are due to the preparation of the system in this entangled state. Thus there is no need for any causality-breaking "spooky interactions at a distance", contradicting relativistic causality and its implementation in relativistic QFT. Signal locality is strictly obeyed by construction. The great majority of physicists working in this field does not deny this, including Zeilinger et al.

No one is currently asserting this last version. The general consensus is that of quantum nonlocality, with full respect for signal locality. Again, how many quotes need to be provided here to back up a position? The existence of quantum nonlocality is posited as part of most experimental papers on the subject.

Yes, and that's why you should call relativistic QFT local, since in fact it is local. There are strong correlations of measurement results at far distant places when accordingly entangled systems are measured. This has nothing to do with any violation of locality. It's just the inseparability of entangled states, and it's all about correlations and not causal connections, which would violate relativistic causality. The existence of nonseparability is posited as part of most experimental papers on the subject. I don't know any paper, where locality and relativistic causality is denied. To the contrary, there was a lot of experimental effort in performung loop-hole free Bell tests in achieving space-like separated choices of the measured observable and measurements with the argument to exclude (!!!) any possible causal influences between the far-distant local measurements!

 

[vanhees71]

Agreed.I was (and still am) curious about his view how the probabilities/correlations arise in the formalism of QED. My view is that it is essential that the propagators also reach into the backward light cone, i.e. that you have waves travelling backwards in time. But this smacks of retrocausality (at least for some people) and may conflict with another cherished principle of @vanhees71 , causality.

There is no propagation backward in light cone either. That's dealt with by the famous Stueckelberg trick, i.e., writing a creation operator in front of the negative-frequency modes in the mode decomposition of the (free) field operators. Together with microcausality this leads to the correct causality properties in the sense of Minkowski spacetime and to a stable ground state, the vacuum (i.e., positive definiteness of energy).

 

[vanhees71]

Let’s be clear about @vanhees71 assertions about QFT: there is nothing predicted by QFT regarding entanglement that wasn’t something equally predicted by QM. Things like entanglement swapping are not dependent on some nuance in QFT. So there is no sense in defining locality in terms of QFT.

A relativistic physical theory must be consistent with relativistic causality. Otherwise it's not a relativistic theory. That's why inevitably physicists found local relativistic QFT as a very well working relativistic QT, in fact it's the only realization of a relativistic QFT fulfilling all the necessary consistency constraints of a relativistic QFT, including causality. Causality it implemented in the even stronger form of microcausality and assuming strictly local interactions. AFAIK there's no example for a working non-local QFT that obeys the causality constraints.

Also in classical relativistic physics the obstacle of having both, the impossibility of instantaneous interactions, and validity of the conservation laws (energy, momentum, angular momentum, center-of-energy motion) implied by the symmetry of Minkowski space (proper orthochronous Poincare transformations) has been solved even before this problem was known to the physicists by introducing the field concept and with it the paradigm of locality of interactions: The fields themselves become dynamical entities carrying all these conserved quantities. The price that had been paid is that the point-particle picture becomes highly problematic, if not impossible to realize (at least there's no fully consistent relativistic theory of interacting point particles; the best effective approximative model in electromagnetically interacting particles is the Landau-Lifshitz approximation of the Lorentz-Abraham-Dirac equation). That's why also a field-theoretical description of matter is necessary. In the classical realm this works well in terms of relativistic continuum mechanics (mostly relativistic fluid dynamics) and relativistic transport equations.

The most consistent picture about interacting matter, however, is indeed relativistic local QFT.

In one form of locality: there is signal locality but there is no quantum nonlocality. In quantum nonlocality: signal locality is respected. But… expectation values are dependent on the measurement choices of distant observers. In another form of nonlocality: even signal locality is not respected.

No one is currently asserting this last version. The general consensus is that of quantum nonlocality, with full respect for signal locality. Again, how many quotes need to be provided here to back up a position? The existence of quantum nonlocality is posited as part of most experimental papers on the subject.

I commented on this already.

 

[Demystifier]

I approached this thread with some excitement. Yet your second entry was an ad hominem attack. Ideas would be better.

Saying that he's using philosophy is not ad hominem. It would be ad hominem if I implied that using philosophy is something wrong, but I didn't imply that. Indeed, I use philosophy all the time, including this reply that you just read. However, the idea behind my claim that he's using philosophy is implicit, and you are right that it would be better if the idea was explicit. The explicit idea is that one cannot expect non-philosophical discussion if one starts with an argument full of philosophical claims.

 

[Quantum Waver]

There's more to quantum mechanics than Schrödinger's equation. The Born rule was added as an afterthought (in a footnote), but it is an integral part of the theory. Naively, I once thought it should be derivable somehow from Schrödinger's equation. It looked alien to the theory, and I found unitary evolution much more appealing than "measurements". Now I know better. The apparent determinism and continuity expressed by the time-dependent Schrödinger equation has misled many people to forget that quantum theory actually describes the graininess (discontinuities) and randomness we observe in the real world.

There's still a question of how the unitary evolution becomes non-unitary upon measurement, making the Born rule necessary. Saying it's inherently random is to make the stochastic part of QM a brute fact of nature. But perhaps that is giving up too soon. There are still supporters of MWI working on deriving the Born rule.

It also makes measurement a fundamental part of the theory, which is unlike other scientific theories. Invoking decoherence (as some do) just pushes the problem out farther beyond the measurement to the wider world, which is what MWI says happens. So although the measurement looks discontinuous, technically it's part of a much larger superposition. Unless the measurement doesn't involve Schrödinger's equation at all until it's completed. Which would seem to be at odds with decoherence.

Or it means the macroscopic world is not fundamentally quantum, even though it's made up of the microphysical. Perhaps because measurements are constantly being made on the scale of the macro? So there's constant stochastic collapse. Or perhaps I should say it's not fundamentally described by the wave equation if that's the case. But again, that seems to be in conflict with decoherence (which is unitary).

 

[WernerQH]

There is no propagation backward in light cone either.

That's just semantics. Of course you can redefine something that travels backwards in time as something else that travels forward.

I think you cannot have both, locality and strictly forward evolution in time. A single photon emitted by an atom can be detected by only one detector. If you surround the atom by several detectors, how could these detectors "negotiate" in a local way who is doing the detecting? The only way to do this in a local way is by sending signals back and forth, i.e. also backwards in time. (Leading eventually to some infamous collapse!) Nature's book-keeping seems to be perfect: energy, momentum, and angular momentum are deposited in only one detector. Since you are harping on locality, I think you have to give up the idea that quantum systems can evolve only forward in time.

 

[vanhees71]

The detectors don't negotiate anything. It's just the interaction of the photon with the material around it. Where it will be detected is random, and the probability distribution is given by accordingly normalized expectation value of the energy density taken with the state the photon is prepared in.

 

[WernerQH]

It's just the interaction of the photon with the material around it. Where it will be detected is random [...]

Local interactions? Obviously you don't understand.

 

[vanhees71]

Of course, QED is local QFT, and that's why interactions are local. Obviously you don't understand.

 

[WernerQH]

There's still a question of how the unitary evolution becomes non-unitary upon measurement, making the Born rule necessary. Saying it's inherently random is to make the stochastic part of QM a brute fact of nature.

Yes, I think it's necessary to accept it as "brute fact of nature". Although we cannot really talk about facts of nature, but only about the most reasonable attempts to describe her. But the hard split between unitary evolution and "measurements" isn't necessary. There is a formalism that joins them in a natural way: the Schwinger-Keldysh closed time-path formalism. I've already tried several times to explain it here on PF, for example in
https://www.physicsforums.com/threa...-be-proved-or-disproved.1004469/#post-6507873
but most people seem to think that it's in the wrong box and has nothing to do with quantum theory and measurements. Yet I was delighted to discover in a recent article
https://arxiv.org/abs/2305.16828
the Schwinger-Keldysh functional being mentioned as a "decoherence functional". So some members of the Consistent Histories faction have noticed the usefulness of forward and backward moving "times" for ensuring consistency in (our emulation of) nature's book-keeping.

 

[Lord Jestocost]

A relativistic physical theory must be consistent with relativistic causality. Otherwise it's not a relativistic theory. That's why inevitably physicists found local relativistic QFT as a very well working relativistic QT, in fact it's the only realization of a relativistic QFT fulfilling all the necessary consistency constraints of a relativistic QFT, including causality. Causality it implemented in the even stronger form of microcausality and assuming strictly local interactions. AFAIK there's no example for a working non-local QFT that obeys the causality constraints.

Also in classical relativistic physics the obstacle of having both, the impossibility of instantaneous interactions, and validity of the conservation laws (energy, momentum, angular momentum, center-of-energy motion) implied by the symmetry of Minkowski space (proper orthochronous Poincare transformations) has been solved even before this problem was known to the physicists by introducing the field concept and with it the paradigm of locality of interactions: The fields themselves become dynamical entities carrying all these conserved quantities. The price that had been paid is that the point-particle picture becomes highly problematic, if not impossible to realize (at least there's no fully consistent relativistic theory of interacting point particles; the best effective approximative model in electromagnetically interacting particles is the Landau-Lifshitz approximation of the Lorentz-Abraham-Dirac equation). That's why also a field-theoretical description of matter is necessary. In the classical realm this works well in terms of relativistic continuum mechanics (mostly relativistic fluid dynamics) and relativistic transport equations.

The most consistent picture about interacting matter, however, is indeed relativistic local QFT.

I commented on this already.

In a footnote of their paper “Bell nonlocality”/1/, Nicolas Brunner et al. point to a maybe reason of misunderstandings regarding the term locality:

"In 1964, Bell proved that the predictions of quantum theory are incompatible with those of any physical theory satisfying a natural notion of locality¹ (Bell, 1964). ...........

¹To avoid any misunderstanding from the start, by “locality” we do not mean the notion used within quantum mechanics and quantum field theory that operators defined in spacelike separated regions commute. Bell’s notion of locality is different and is clarified below."

/1/ “Bell nonlocality” by Nicolas Brunner, Daniel Cavalcanti, Stefano Pironio, Valerio Scarani, and Stephanie Wehner, Rev. Mod. Phys. 86, 419 – Published 18 April 2014

 

[vanhees71]

Just look at section A. The key points are clearly stated:

Even though the two systems
may be separated by a large distance, and may even be
spacelike separated, the existence of such correlations is
nothing mysterious. In particular, it does not necessarily
imply some kind of direct influence of one system on the
other, for these correlations may simply reveal some depend-
ence relation between the two systems which was established
when they interacted in the past. This is at least what one
would expect in a local theory.

The point, however, is that in (3) they tacitly assumed not only "locality" but also realism, and that's leads to the Bell inequalities, which distinguishes all "local, realistic theories" from "non-realistic theories".

Unfortunately they do not discuss microcausality at all, except in this footnote, where they explicitly say that they do not take it into account, which is strange, because that's the very way, "locality" is mathematically implemented into the only viable relativistic QT we have today, i.e., relativistic, local QFT.

On the other hand in discussing Eq. (3) they state:

This decomposition now represents a
precise condition for locality in the context of Bell experi-
ments.2 Note that no assumptions of determinism or of a
“classical behavior” are being involved in Eq. (3): we assumed
that a (and similarly b) is only probabilistically determined by
the measurement x and the variable λ, with no restrictions on
the physical laws governing this causal relation. Locality is the
crucial assumption behind Eq. (3). In relativistic terms, it is the
requirement that events in one region of space-time should not
influence events in spacelike separated regions.

For me that's a clear contradiction of the very footnote they make "for clarity" in the very beginning. So for me the paper does not discuss adequately the precise meaning of "locality/non-locality" in the relativistic context.

 

[gentzen]

For me that's a clear contradiction of the very footnote they make "for clarity" in the very beginning. So for me the paper does not discuss adequately the precise meaning of "locality/non-locality" in the relativistic context.

Please provide a reference to a paper which adequately discusses that stuff for you.

 

[Morbert]

There's still a question of how the unitary evolution becomes non-unitary upon measurement, making the Born rule necessary. Saying it's inherently random is to make the stochastic part of QM a brute fact of nature.

If we model the microscopic system + apparatus + environment as an isolated system*, we can evolve this state unitarily and reduced states stochastically. There is no need to specify an objective moment of measurement where unitary evolution gives way to stochastic evolution, even if we are instrumentalists.

* (ignoring issues of environments with black holes and non-foliable spacetime etc)

 

[Lord Jestocost]

Just look at section A. The key points are clearly stated:
The point, however, is that in (3) they tacitly assumed not only "locality" but also realism, and that's leads to the Bell inequalities, which distinguishes all "local, realistic theories" from "non-realistic theories".

Unfortunately they do not discuss microcausality at all, except in this footnote, where they explicitly say that they do not take it into account, which is strange, because that's the very way, "locality" is mathematically implemented into the only viable relativistic QT we have today, i.e., relativistic, local QFT.

On the other hand in discussing Eq. (3) they state:For me that's a clear contradiction of the very footnote they make "for clarity" in the very beginning. So for me the paper does not discuss adequately the precise meaning of "locality/non-locality" in the relativistic context.

At this point, I agree with you, something similar to the way Żukowski and Brukner put it in “Quantum non-locality – it ainʼt necessarily so...”/1/:

“The terms ‘nonlocality’ or ‘quantum non-locality’ are buzzwords in foundations of quantum mechanics and quantum information. Most of scientists treat these terms as a more handy expression equivalent to the clumsy “violation of Bell’s inequalities”. Unfortunately, some treat them seriously. Even more unfortunately Bell himself used such terms in later works [1, 2] [26].”

/1/ Marek Żukowski and Časlav Brukner 2014 J. Phys. A: Math. Theor. 47 424009

 

[Simple question]

No, the same issue I described is still there.

I don't understand the contradiction. QM is linear and deterministic, and deals in probabilities (is stochastic).

That, again, depends on which interpretation you adopt. Some interpretations (such as the MWI and "objective collapse" interpretations) have this.

I was under the impression that to make QM "inherently random", objective collapse added a piece of math (representing the collapse), and thus was not mere interpretation.

But that does not mean QM interpretations cannot make claims about individual events or link them to the math. As noted above, many interpretations do that.

I agree. But the claims made by @vanhees71 in this thread are unsubstantiated and often wrong. Like post #49 "It's all due to local interactions between the electromagnetic field (laser) and the particles building up the BBO crystal." which is actually saying QFT is a realistic theory ... and there is no measurement problem.

Experiment and Bell's showed that QM is correct, thus Nature have spooky behaviors (like non-local and even a-causal correlations). There is no way to "interpret this out" using QM.

I don't expect either for him to apply his own interpretation to the experiment proposed in #71

What non-local constraint are you referring to?

Microcausality in QFT : "...must commute at space-like separated arguments.."
I assume that this is a critical feature of the theory that allows it to make correct predictions (has far as it is able to, within its well defined limit).

 

[PeterDonis]

QM is linear and deterministic, and deals in probabilities (is stochastic).

These statements contradict each other; "linear and deterministic" is inconsistent with "stochastic".

I was under the impression that to make QM "inherently random", objective collapse added a piece of math (representing the collapse), and thus was not mere interpretation.

Objective collapse interpretations do not add collapse to the math; that is already there in the basic math (for example, the PF 7 Basic Rules). Objective collapse interpretations make a claim about that piece of math, that it reflects an actual physical thing happening. Other interpretations do not make that claim.

But the claims made by @vanhees71 in this thread are unsubstantiated and often wrong.

This is way too strong. Differences of opinion about interpretations do not justify claims like "unsubstantiated and wrong". (There is a sticky thread at the top of the interpretations forum that contains forum guidelines; one of them relates to that very point.)

 

[PeterDonis]

Microcausality in QFT : "...must commute at space-like separated arguments.."

Ah, ok. But you seem to be thinking that this feature is somehow unique to QFT and raises issues. Actually, that's not the case. Commuting measurements where different observables are being measured are the norm--the natural case. Classical measurements of different observables always commute. The new feature that QM (and QFT, which just makes clearer how relativity plays into it all) introduces is non-commuting measurements--measurements of different observables (like spin-z and spin-x) that do not commute. The QFT constraint just makes clear that the domain in which such non-commuting measurements are possible is restricted by the requirements of relativistic causality.

I assume that this is a critical feature of the theory that allows it to make correct predictions

To the extent that this is the case, as above, the predictions are the same as those in non-relativistic QM, and indeed in classical physics.

 

[vanhees71]

I don't understand the contradiction. QM is linear and deterministic, and deals in probabilities (is stochastic).

QM is described by usual partial differential equations like the Schrödinger equation for the wave function. It's not a stochastic differential equation, or are you referring to the quantum Langevin Schrödinger equation, which is one way to describe an open quantum system?

The meaning of the state is probabilistic. The time evolution of usual QM for closed systems is described by a usual partial differential equation, not a stochastic one.

I was under the impression that to make QM "inherently random", objective collapse added a piece of math (representing the collapse), and thus was not mere interpretation.

That's true. There are attempts to extend the quantum formalism with some stochastic collapse mechanism, but that's not QM anymore but a new theory. There's, however, not the slightest hint that such an alteration is needed anywhere.

I agree. But the claims made by @vanhees71 in this thread are unsubstantiated and often wrong. Like post #49 "It's all due to local interactions between the electromagnetic field (laser) and the particles building up the BBO crystal." which is actually saying QFT is a realistic theory ... and there is no measurement problem.

Don't interpret something into what I'm saying, which I never said. QFT as any QT is not realistic, i.e., within this theory not all observables always take determined values. Also it's weird to claim that standard local relativsitic QFT were wrong, while in fact it's the most successful class of theories ever discovered!

Experiment and Bell's showed that QM is correct, thus Nature have spooky behaviors (like non-local and even a-causal correlations). There is no way to "interpret this out" using QM.

Experiment shows that also local relativistic QFT is correct, and this excludes spooky actions at a distance by construction. That's a mathematical property of the theory and cannot be argued away by some "interpretation" gibberish.

I don't expect either for him to apply his own interpretation to the experiment proposed in #71Microcausality in QFT : "...must commute at space-like separated arguments.."
I assume that this is a critical feature of the theory that allows it to make correct predictions (has far as it is able to, within its well defined limit).

It's among THE key features, and it predicts from the start very well established facts about nature like the CPT symmetry and the relation between spin and statistics.

I've no clue what you mean in #71. Whether I use one equipment to run an experiment 10000 times or whether I build 10000 different equipments doesn't make any difference. It's just preparing large enough ensembles to have a high significance in my statistical tests of the probabilistic predictions of Q(F)T.

 

[Lord Jestocost]

I don't understand the contradiction. QM is linear and deterministic, and deals in probabilities (is stochastic).I was under the impression that to make QM "inherently random", objective collapse added a piece of math (representing the collapse), and thus was not mere interpretation.I agree. But the claims made by @vanhees71 in this thread are unsubstantiated and often wrong. Like post #49 "It's all due to local interactions between the electromagnetic field (laser) and the particles building up the BBO crystal." which is actually saying QFT is a realistic theory ... and there is no measurement problem.

Experiment and Bell's showed that QM is correct, thus Nature have spooky behaviors (like non-local and even a-causal correlations). There is no way to "interpret this out" using QM.

I don't expect either for him to apply his own interpretation to the experiment proposed in #71Microcausality in QFT : "...must commute at space-like separated arguments.."
I assume that this is a critical feature of the theory that allows it to make correct predictions (has far as it is able to, within its well defined limit).

Ĉaslav Brukner and Anton Zeilinger in “Information and fundamental elements of the structure of quantum theory”/1/:

“10 MEASUREMENT - THE UPDATE OF INFORMATION

In this section, it will be argued that identifying the quantum state of a system with the catalog of our knowledge of the system leads to the resolution of many of the seemingly paradoxical features of quantum mechanics connected to the so-called measurement problem.

In a quantum measurement, we find the system to be in one of the eigenstates of the observable defined by the measurement apparatus. A specific example is the case when we are considering a wave packet as being composed of a superposition of plane waves. Such a wave packet is more or less well-localized, but we can always perform a position measurement on a wave packet which is better localized than the dimension of the packet itself. This, sometimes called “reduction of the wave packet” or “collapse of the wave function”, can only be seen as a ”measurement paradox” if one views this change of the quantum state as a real physical process. In the extreme case it is often even related to an instant collapse of some physical wave in space.

There is no basis for any such assumption. In contrast, there is never a paradox if we realize that the wave function is just an encoded mathematical representation of our knowledge of the system. When the state of a quantum system has a non-zero value at some position in space at some particular time, it does not mean that the system is physically present at that point, but only that our knowledge (or lack of knowledge) of the system allows the particle the possibility of being present at that point at that instant.

What can be more natural than to change the representation of our knowledge if we gain new knowledge from a measurement performed on the system? When a measurement is performed, our knowledge of the system changes, and therefore its representation, the quantum state, also changes. In agreement with the new knowledge, it instantaneously changes all its components, even those which describe our knowledge in the regions of space quite distant from the site of the measurement. Then no need whatsoever arises to allude to notions like superluminal or instantaneous transmission of information.”

/1/ in “Time, Quantum and Information” (A collection of research papers written in commemoration of the 90th birthday of C. F. von Weizsäcker), eds. Lutz Castell and Otfried Ischebeck, 2003

 

[vanhees71]

Indeed, Brukner and Zeilinger just set the record straight by using the minimal statistical information. That solves all pseudo-problems. The only problem that remains is that some philosophers cannot accept that Nature behaves as she does and not as they want. They are still confined in their "classical worldview". That's all that's left.

 

[Lord Jestocost]

.... The only problem that remains is that some philosophers cannot accept that Nature behaves as she does and not as they want. They are still confined in their "classical worldview".

But not, for example, C. F. von Weizsäcker!

 

[vanhees71]

I've no clue, what C. F. von Weizsäcker was after ;-).

 

[Lord Jestocost]

I've no clue, what C. F. von Weizsäcker was after ;-).

Maybe, the following might be of help.

Klaus Michael Meyer-Abich in „Science and Its Relation to Nature in C.F. von Weizsäcker’s Natural Philosophy”/1/:

“True enough, Weizsäcker considered the concepts of science as 'completely dark and devoid of explanation' [14, p. 287}. This is not the way physicists generally feel but the fact that they can handle these concepts does indeed not explain what happens when they do so. Any physicist approached by Weizsäcker with the Socratic question as to whether he understands what he is doing would soon have to admit his ignorance. So far this has been the distinction between a philosopher and a physicist.”

/1/ in “Time, Quantum and Information” (A collection of research papers written in commemoration of the 90th birthday of C. F. von Weizsäcker), eds. Lutz Castell and Otfried Ischebeck, 2003

 

[Morbert]

In contrast, there is never a paradox if we realize that the wave function is just an encoded mathematical representation of our knowledge of the system. When the state of a quantum system has a non-zero value at some position in space at some particular time, it does not mean that the system is physically present at that point, but only that our knowledge (or lack of knowledge) of the system allows the particle the possibility of being present at that point at that instant.

If the knowledge is merely knowledge of a possible location of the particle, then we have conceptualised a property of the particle independent from a measurement context. To avoid the charge of introducing hidden variables (see common critiques of psi-epistemic interpretations), the knowledge represented by the state has to be re-examined. Two approaches:

i) The knowledge is knowledge of possible instrument responses if a measurement is carried out. We don't say "there is a probability p the particle is in some interval X". We say there is a probability p that a detector tuned to some interval X will click.

ii) Develop a system of logic for properties of microscopic systems that accommodates the complementary character of quantum theories (see decoherent histories).

 

[Simple question]

Ah, ok. But you seem to be thinking that this feature is somehow unique to QFT and raises issues.

Not at all, I am fine with any constraints and rules that helps in any model. I see no issue with micro-causality. But there is a specific person on this forum that clearly does not understand its domain of application, and makes wrong claims about its domain of application.

Actually, that's not the case. Commuting measurements where different observables are being measured are the norm--the natural case. Classical measurements of different observables always commute. The new feature that QM (and QFT, which just makes clearer how relativity plays into it all) introduces is non-commuting measurements--measurements of different observables (like spin-z and spin-x) that do not commute.

Thank you for this summary. It's actually one of the best I've read.

The QFT constraint just makes clear that the domain in which such non-commuting measurements are possible is restricted by the requirements of relativistic causality.

But surely you don't infer that this restriction means those measurement are not possible. It mean those measurement are not in the domain of QFT.
Yet @vanhees71 thinks that the theory comes first and that implies that those experiment results (since Aspect, 40 years ago !!!) should be dismissed. I cannot think of more anti-scientific stance. This is not at all an dispute about interpretations.

To the extent that this is the case, as above, the predictions are the same as those in non-relativistic QM, and indeed in classical physics.

Maybe it is, so I'll assume micro-causality never enter the equation to predict entanglements results, or "the speed at which" collapse occurs ... if there is such a thing.[/B]

 

[PeterDonis]

there is a specific person on this forum that clearly does not understand its domain of application, and makes wrong claims about its domain of application

Again, this is way too strong and you need to stop making this claim.

surely you don't infer that this restriction means those measurement are not possible.

Of course not. Nobody is claiming that.

It mean those measurement are not in the domain of QFT.

It means no such thing. Commuting measurements are just as much in the domain of QFT as non-commuting measurements.

@vanhees71 thinks that the theory comes first and that implies that those experiment results (since Aspect, 40 years ago !!!) should be dismissed.

I do not see @vanhees71 making any such claim. You are seriously misinterpreting his posts if you think this is what he is saying.

I'll assume micro-causality never enter the equation to predict entanglements results

You cannot assume any such thing. All you can assume is what I explicitly said: that for the case of spacelike separated measurements, the predictions of QFT are the same as those of non-relativistic QM. (It is true that for the case where such measurements are made on entangled particles, the predictions will not be the same as those of classical physics, since the latter will never predict violations of the Bell inequalities. I did not intend to state otherwise, but on reading my previous post I see how it could have been interpreted that way. Sorry for the ambiguity on my part.)

"the speed at which" collapse occurs

There is no such thing except in "objective collapse" interpretations, which, as I think has already been noted in this thread, actually become different theories (i.e., different math from the standard math of QM, making different experimental predictions) when developed fully.