Entanglement, causality and local realism

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Quantum entanglement does not imply a causal relationship, despite the shared history of entangled states influencing future measurements. The discussion highlights that entangled systems should be treated as a single entity, avoiding paradoxes associated with attributing observables to individual components. Critics argue that violations of Bell's inequalities do not necessarily validate the concept of non-locality, as the inequalities themselves may not accurately represent all deterministic local systems. The conversation also touches on the epistemological aspects of measurement and agreement, suggesting that causality may not be as straightforward as presumed. Overall, the prevailing belief in the violation of Bell's inequality and its implications for non-locality remains a contentious topic in quantum mechanics.
  • #31
Fredrik said:
Bell inequalities don't represent a property of reality.
They do however represent a property of every member of some class of hidden variable theories. I don't know if that class includes all objective local theories, but has anyone ever said that it does?
You need to look up Bell's theorem and what it says. If what you say is what Bell and his proponents believe, they should have saved everyone a lot of confusion by being explicit. Why would they make an extraordinary claim that "No local hidden variable theorem can reproduce the results of QM" , if they only meant to say some hidden variable theorems can not reproduce the results of QM?
It is interesting that you think there are no objective local theories for even classical objects even before QM was developed. Do you believe Bernoulli's Urn is non-local as well? Do you believe Bell's inequalities do not apply to any real system, quantum or classical? If you do, as your statement above implies, then I would be interested to hear on what basis, you compare the results of Aspect-type experiments to Bell's inequalities.

I mean, has anyone that matters ever said it without taking the assumptions that go into the derivation as the definition of the term "objective local theory"?
Take a look at Bell's theorem, it makes a categorical claim about all objective local theories. And every time anyone claims that Objective local theories are impossible, they are making the same claim. I'm sure if I had enough time, I could find one of your statements implying the same.

We would just have to change 2 to say that we have ruled out a large class of objective local theories.
Even that does not rescue Bell's theorem. For Bell's theorem to be valid, you have to rule out EVERY objective local hidden variable theory.

What exactly is it that you would like to change about the definition of "objective local theory", or equivalently, the assumptions that go into derivations of Bell inequalities?
I want you to admit that Bell's assumptions are not exhaustive of all objective local theories. You just admitted earlier that Bell's inequality does not apply to ALL local hidden variable theories, and yet you still believe Bell's assumptions are equivalent to the definition of objective local theory? You can't have it both ways. As you admitted above, Bell's inequalities do not apply to all possible local hidden variable theories. Therefore Bell's theorem, which is based on those inequalities, can not claim to make proclamations about what ALL objective local theories can or can not do.

Yes, that's the point! And when the Bell inequalities fall, they take a large class of hidden variable theories with them.
1) Yes, when Bell's inequalities fail, they take the class of hidden variables implied in Bell's assumptions with them. But by your own admission, those assumptions do not even apply to classical systems which are demonstrably local, so to characterize the class as large, is specious at best.
2) The viability of Bell's Theorem hangs on the increasingly hopeless wish that Bell's inequalities apply to ALL objective local theories.
3) Therefore, Bell's theorem is a fallacious argument.
 
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  • #32
mn4j said:
Again, you are handwaving here and avoiding to address the specific references I have provided.

I can give you another 10 references to local realist theories, I am familiar with everything you mention. How about mentioning Matzkin, Christian, Nieuwenhuizen, Broda, Laudisa, etc. (Maybe you are one of these.) None of these are theories, sadly, they are ideas for theories at best and have mostly been directly addressed or otherwise have obvious glaring holes and are not worthy of specific critique. Hey, there is a Flat Earth Society and guess what? I don't bother to tell them the Earth is as flat as any other sphere.

So again, I ask the answer to a simple question: what is the true correlation rate for entangled photons at 60 degrees? Is it .25 or .333? A true theory - like QM - can answer this simple question (answer, experimentally verified, .25). (Oops, entangled particles don't exist in local realist theories... only pairs that share a common past...)
 
  • #33
mn4j said:
2) The viability of Bell's Theorem hangs on the increasingly hopeless wish that Bell's inequalities apply to ALL objective local theories.

I am disappointed to hear you say this, as a number of non-Bell theories and associated experiments come to exactly the same conclusion as Bell. Those being GHZ, Hardy, etc. Come on, every modern theory and related experiment says exactly the same thing. Realism is not tenable, at least when coupled with locality.
 
  • #34
mn4j said:
Why would they make an extraordinary claim that "No local hidden variable theorem can reproduce the results of QM" , if they only meant to say some hidden variable theorems can not reproduce the results of QM?
...
Take a look at Bell's theorem, it makes a categorical claim about all objective local theories.
...
etc.
I'm guessing that they were assuming that their readers would understand that "local hidden variable theory" is a phrase that needs to be defined, and that the theorem is valid for the class of theories covered by the definition.

Don't you see that a term like "objective local theory" is meaningless without a definition? If you think the people who defined the term are talking about theories that aren't covered by their definition, then that's a problem on your end, not theirs.

mn4j said:
It is interesting that you think there are no objective local theories for even classical objects even before QM was developed.
...
Do you believe Bell's inequalities do not apply to any real system, quantum or classical?
...
But by your own admission, those assumptions do not even apply to classical systems which are demonstrably local
I have no idea how you could get that impression. If you understand a derivation of a Bell inequality, such as the one in Isham's book, it's completely obvious that the inequality holds for simple classical systems.
 
  • #35
Fredrik said:
Thanks for posting that. It looks interesting. Interesting enough to deserve its own thread actually. I think I'm going to start one.

Edit: I did, but it got deleted, and I got a formal warning for violating the forum rules. :smile:

That's not what he's saying. He's just saying that the set S0 appears (implicitly) in one step in Bell's argument, where e.g. S3 would have been an equally valid choice. (I still haven't understood why it is, but I'm working on it).

I read your post starting that thread, then I read the arXiv paper. I logged in this morning excited to read contributions so I was, of course, frustrated :-)

So, we're not allowed to discuss the paper here? Please email what you find: stuckeym@etown.edu

Thanks!
 
  • #36
DrChinese said:
I am disappointed to hear you say this, as a number of non-Bell theories and associated experiments come to exactly the same conclusion as Bell.
No they don't. It's simply circular reasoning which goes as follows:

1) All objective local theories must obey these inequalities 2) Therefore if an experiment does not obey these inequalities it is non-local.

You keep bringing up experiments which violate Bell's inequality as proof that the inequalities are valid. By the same standard, any nonsensical theorem can be proven by virtue of it's violation in reality.

So one more time, in case you have difficulty understanding simple logic. Unless Bell's inequalities are proven to be universally valid for all objective local theories ala EPR, Bell's theorem, which states that no hidden variable theory can reproduce the QM predictions, is dead.

Now if you are ready and willing to accept the above argument, which no reasonable, intellectually honest scientist should take issue with. We can move on to "proofs" of Bell's theorem such as the one on your website, and show exactly what is wrong with them.
 
  • #37
Fredrik said:
I'm guessing that they were assuming that their readers would understand that "local hidden variable theory" is a phrase that needs to be defined, and that the theorem is valid for the class of theories covered by the definition. Don't you see that a term like "objective local theory" is meaningless without a definition?
On the contrary, Bell's followers were hoping to pull a fast one over their readers eyes. Seeing that you have now admitted that Bell's theorem and Bell's inequalities are only valid for Bell's objective local theories as defined by their assumptions, you should not have any issue with me rephrasing Bell's theorem thus:

"No hidden variable theory, governed by Bell's assumptions in deriving his inequalities, can reproduce the statistical predictions of QM."

If you agree that Bell's theorem is the above, then I agree with you.

If you think the people who defined the term are talking about theories that aren't covered by their definition, then that's a problem on your end, not theirs.
Since we now agree (hopefully) about the more explicit phrasing of Bell's theorem above, do you now understand why someone may raise the issue that Bell's definition as implied by his assumptions does not accurately reflect the definition by EPR? Whether or not Bell set out to use the EPR definition is irrelevant, as the operative definition is the one imposed on his equations by his assumptions. My criticism of Bell in this thread has focused on whether or not Bell's definition of "objective local theory" is exhaustive in representing the EPR definition of "objective local theory" which Bell was purporting to represent in his paper.

Do you also now realize that violation of Bell's inequalities by an experiment can mean
1) If Bell's inequalities are exhaustive of all possible objective local theories (which has not been demostrated), then the experiment is necessarily non-local
OR 2) If Bell's inequalities are not exhaustive of all possible objective local theories (which has been demonstrated), then the experiment is not necessarily non-local

So then, rushing to conclude that every experiment which violates Bell's inequalities proves non-locality, when the scope of Bell's inequalities has not been proven, is fallacious.

I have no idea how you could get that impression. If you understand a derivation of a Bell inequality, such as the one in Isham's book, it's completely obvious that the inequality holds for simple classical systems.

I haven't read Isham's book but I have read dozens of Bell proofs and they all make the same mistakes, for example, failing to realize that you can not define variables for mutually exclusive experiments on the same probability space. I will not be surprised if Isham does the same. If you makes a leap from 2 outcomes to 3 outcomes, then he makes the same mistake as the rest.
 
  • #38
mn4j said:
On the contrary, Bell's followers were hoping to pull a fast one over their readers eyes.
Yeah, physics is just one giant conspiracy, isn't it. :rolleyes:

mn4j said:
"No hidden variable theory, governed by Bell's assumptions in deriving his inequalities, can reproduce the statistical predictions of QM."

If you agree that Bell's theorem is the above, then I agree with you.
That's the only possible interpretation of Bell's claims. If you have had another one, that's your mistake, not theirs.

You claim to agree with the above, but then you're contradicting that by saying that all of these proofs are flawed:

mn4j said:
I haven't read Isham's book but I have read dozens of Bell proofs and they all make the same mistakes, for example, failing to realize that you can not define variables for mutually exclusive experiments on the same probability space. I will not be surprised if Isham does the same. If you makes a leap from 2 outcomes to 3 outcomes, then he makes the same mistake as the rest.
The relevant pages are right here: 215, 216. Please explain what you think he's doing wrong.

mn4j said:
Since we now agree (hopefully) about the more explicit phrasing of Bell's theorem above, do you now understand why someone may raise the issue that Bell's definition as implied by his assumptions does not accurately reflect the definition by EPR? Whether or not Bell set out to use the EPR definition is irrelevant, as the operative definition is the one imposed on his equations by his assumptions. My criticism of Bell in this thread has focused on whether or not Bell's definition of "objective local theory" is exhaustive in representing the EPR definition of "objective local theory" which Bell was purporting to represent in his paper.
How is the EPR definition different from the assumptions that go into the derivations of Bell inequalities? Does an EPR definition even exist?
 
  • #39
karatemonkey said:
I have been walking around with the notion that "quantum entanglement implies a sort
causal relationship due to the states having a shared history". I am now not so
sure that this is correct.
When I talk about entanglement, I use the argument that the preparation of the entangled state places information in the entangled state at the time of preparation and this "influences" future measurements. Where "this influences future measurements" in the last sentence means that the entangled states share a Hilbert space containing the eigenvectors of the joint Hamiltonian of the entangled objects. I'm not sure if I am way off course in my comprehension or if I have a problem with my language.

I think we're missing the main point of the OP. QM doesn't violate causality regardless of whether it is local or non-local. Non-locality and causality are perfectly consistent. I think the statement
karatemonkey said:
"quantum entanglement implies a sort
causal relationship due to the states having a shared history"
is fine; two particles cannot be entangled without them first being local.

karatemonkey said:
the preparation of the entangled state places information in the entangled state at the time of preparation and this "influences" future measurements.

This is a false statement IMO. The preparation of the state places information about how two measurements are correlated it doesn't influence the measurement in anyway. It just means that you only have to measure one of the two states to know the information about both states or in otherwords there is really only one state since you only have to make one measurement.
 
  • #40
Finbar said:
... two particles cannot be entangled without them first being local...

You may be surprised to learn that this is not fact the case. 2 photons CAN be entangled that have never had any interaction. This was demonstrated in a variety of entanglement-swapping experiments. An early paper:

http://prola.aps.org/abstract/PRL/v80/i18/p3891_1

...which has now advanced to discussion in quantum computing applications:

Artur Scherer, Gina Howard, Barry C. Sanders, Wolfgang Tittel (2009): Quantum states prepared by realistic entanglement swapping

In these schemes, 2 separated pairs of entangled particles have one of the pair interact, while the 2nd members do not. Those 2nd members become entangled in some cases.
 
  • #41
Fredrik said:
That's the only possible interpretation of Bell's claims. If you have had another one, that's your mistake, not theirs.
I'm happy you recognize the folly in statements such as:
DrChinese said:
Realism is not tenable, at least when coupled with locality.
And similar such statements by Bell's followers. In fact some have even gone as far as to characterize Bell's theorem as the "most profound discovery in science."

You claim to agree with the above, but then you're contradicting that by saying that all of these proofs are flawed
No. Either you are deliberately being glib, or you are unable to understand how it is possible to agree with the logical structure of an argument without necessarily accepting all it's premises as true. For example, I also agree that the following argument is logically correct:
"If the Earth is flat, then the probability of falling off the edge is greater than zero"
But that does not mean I accept that the Earth is flat. In case you did not realize yet, Bell's inequalities are a premise in Bell's theorem and by challenging that premise, I am saying the logical consistency of Bell's theorem (as correctly phrased above) not withstanding, it still fails on account of the validity of it's major premise.

The relevant pages are right here: 215, 216. Please explain what you think he's doing wrong.
I will draw your attention to the two assumptions mentioned at the bottom of page 216. You ask what is wrong with those assumptions. I will say those assumptions are extremely restrictive. I will quote from:

Marchildon, L. (2007) in Beyond the Quantum, World Scientific, New Jersey, London etc.,
Nieuwenhuizen, T. M., Spicka, V., Mehmani, B., Aghdami, M. J. and Khrennikov, A. Yu. editors,
p 155 -162.
Firstly, and in the spirit of quantum mechanics, neither particle has a precise value of any of its spin components before measurement. Rather, the particles and the instruments jointly possesses information that is sufficient for deterministic values to obtain upon measurement. Secondly, the dependence of the instrument’s random variables on some universal time allows for a stochastic dependence of measurement results on one another, conditioned on \Lambda, if the measurements are performed at correlated times in the two wings. And yet thirly, the measurement result on one side can be stochastically independent on the setting on the other side.

With such extended parameter spaces, Hess and Philipp have shown that the standard proofs of Bell's inequalities come to a halt. Such proofs typically assume that the two particles, once they have left the source, simultaneously have well-defined values for more than one spin component. But in the extended parameter space approach, spin components get values only upon measurement. Counterfactual reasoning is allowed only in the sense that had a different spin component been measured, it would have yieldeda definite and deterministic value. But that value does not exist before measurement. And since the measurement of different spin components requires incompatible apparatus, different spin components of the same particle cannot have values at the same time. But spin components of both particles measured at correlated times in the two wings can be stochastically dependent, through the dependence of the instrument random variables on time.

Interestingly, after relying on such restrictive assumptions about objective locality, Isham goes on to conclude on Page 218 that:
"In any case, the overwhelming conclusion is that the predictions of quantum theory are vindicated, and we are obliged to either stick to a pragmatic approach or strict instrumentalist interpretation, or else to accept a strange non-locality that seems hard to reconcile with our normal concepts of spatial separation between independent entities"
This tells me that he believes his assumptions to be exhaustive of all objective local theories, which is not the case. It is this blatant neglect, with the side effect that many are misled to think contrary to fact that local reality has been demonstrated to be untenable, that I am objecting to.
 
  • #42
“With such extended parameter spaces, Hess and Philipp have shown that the standard proofs of Bell’s inequalities come to a halt. Such proofs typically assume that the two particles, once they have left the source, simultaneously have well-defined values for more than one spin component. But in the extended parameter space approach, spin components get values only upon measurement.”

Help me understand. The claim is that this local, realistic model of reality will reproduce the QM statistics. In this model, the particles don’t acquire a value for spin along any particular direction until measurement, and this process of value acquisition occurs in conjunction with the setting of the measurement device so as to satisfy local realism. Is this right? If so, how do the two particles (or “two outcomes” if you prefer) “know” to generate the same value when measurements occur at the same angle (I’m assuming the ++ -- state)? Please clarify by providing the physics (which doesn’t need to be obfuscated with any mathematics). Thanks.
 
  • #43
mn4j, you have still failed to produce a definition of "objective local theory". That's a huge failure on your part, and you should know that everything else you say has very little value until you have defined that concept.

mn4j said:
I'm happy you recognize the folly in statements such as:
I don't. The people who make those statements usually understand that any proof relies on some set of assumptions. (And Dr. Chinese is certainly no exception). The fact that you're having troubles with that isn't their fault.

mn4j said:
the "most profound discovery in science."
That one may be an exaggeration, but it's certainly a profound discovery. Before Bell it seemed perfectly reasonable to think that any variable that we can measure always has a value, and that the value is independent of how the measuring devices are aligned before the particles reach them.

Your objection to Isham's derivation is a reference to this article. This part is interesting:

neither particle has a precise value of any of its spin components before measurement. Rather, the particles and the instruments jointly possesses information that is sufficient for deterministic values to obtain upon measurement.

I haven't read the Hess & Phillip article (or the whole Marchildon article), but my initial reaction is that it wouldn't be surprising at all if theories with these properties fail to satisfy Bell inequalities. In fact, it would be surprising if they do. What they're describing here sounds a lot more like a description of QM than a description of a hidden variable theory. (It's also clear that it's not quite QM).

What I don't see is why I should think of such a theory as an "objective local theory", or why you think that all the "Bell fanboys" believe that this type of theory has been ruled out by Bell's theorem?
 
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  • #44
RUTA said:
1) The claim is that this local, realistic model of reality will reproduce the QM statistics. In this model, the particles don’t acquire a value for spin along any particular direction until measurement, and this process of value acquisition occurs in conjunction with the setting of the measurement device so as to satisfy local realism. Is this right?
2) If so, how do the two particles (or “two outcomes” if you prefer) “know” to generate the same value when measurements occur at the same angle (I’m assuming the ++ -- state)? Please clarify by providing the physics (which doesn’t need to be obfuscated with any mathematics). Thanks.

1) That is correct. Although it is wrong to say the particle "acquires a value". What is observed is a deterministic result of the information carried by both the particle and the measuring device.

2) If the particles carry correlated information from the source, and the instrument parameters are similar in settings and time, then isn't it obvious that two particles measured with the same instrument settings will be highly correlated? Note that the time difference between coincident measurements corresponding to the two particles in a single iteration of the experiment is very short compared to the time between different iterations. Note that although macroscopically, different orientations can be chosen, microscopically, the measuring instrument is just another quantum system with it's own time-varying information.
 
  • #45
Fredrik said:
mn4j, you have still failed to produce a definition of "objective local theory". That's a huge failure on your part, and you should know that everything else you say has very little value until you have defined that concept.
Oh, so I am supposed to automatically understand Bell's definition, but you are not supposed to automatically understand mine? But since you asked, here is what I mean by "objective local theory": it is a theory in which superluminal communication is not allowed and distant events are only allowed to ontologically influence local events by luminal or subluminal communication. Do you take issue with anything in this definition?

Your objection to Isham's derivation is a reference to this article. This part is interesting:

neither particle has a precise value of any of its spin components before measurement. Rather, the particles and the instruments jointly possesses information that is sufficient for deterministic values to obtain upon measurement.

I haven't read the Hess & Phillip article (or the whole Marchildon article), but my initial reaction is that it wouldn't be surprising at all if theories with these properties fail to satisfy Bell inequalities. In fact, it would be surprising if they do. What they're describing here sounds a lot more like a description of QM than a description of a hidden variable theory. (It's also clear that it's not quite QM).
Duh, didn't EPR say it was possible to suplement QM with a local hidden variable theory, why then would it be surprising to you that the objectively local theories suggested by Hess & Philipp and mentioned in the above article should resemble QM in certain aspects?

After all this discussion you still do not get it. Note the underlined phrase! Why would an objective local theory not accounted for by Bell in his assumptions, which reproduces the predictions of QM, be required to satisfy Bell's inequalities. You are still fixated, despite your denials, on Bell's inequalities as some fundamental determinant of what is and is not an objective local theory. In which case, it is not I but you who has not defined what you mean by "objective local theory".

What I don't see is why I should think of such a theory as an "objective local theory", or why you think that all the "Bell fanboys" believe that this type of theory has been ruled out by Bell's theorem?
See my definition of "objective local theory" above, which is also the definition implied by EPR. Hess and Philipp's model falls under that definition. If you think my definition does not qualify as what you would call an"objective local theory" explain why, providing your own definition in the process. I'm beginning to think you are just arguing for argumentation sake.
 
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  • #46
mn4j said:
Oh, so I am supposed to automatically understand Bell's definition, but you are not supposed to automatically understand mine?
What you're supposed to "automatically understand" is that there is a definition, and that if you're going to claim that one of the most celebrated results in physics is "a straw man", "misguided", "unjustified", "not valid", "a trojan horse" and an attempt to "pull a fast one", you have to explain why. You have to state a definition of "objective local theory" (or whatever term you prefer), and explain why it's a better definition than the one (or the ones) represented by the assumptions that go into derivations of Bell inequalities.

I'm surprised that the moderators have tolerated your posts, because what you're doing is very clearly against the forum rules. They probably haven't been following this discussion. The rules are meant to prevent crackpot nonsense like yours. If you have a valid point to make against an established result, then make it in a well-known peer reviewed physics journal. After that it's OK to discuss it here.

I see that you have at least stopped repeating the claim that Bell inequalities haven't been proved by experiment, which is one of the most bizarre statements I've seen in these forums for a while. (It's a lot worse than any statement that can be characterized as wrong, like "the moon is made of cheese". I hope you're at least beginning to see why).

mn4j said:
But since you asked, here is what I mean by "objective local theory": it is a theory in which superluminal communication is not allowed and distant events are only allowed to ontologically influence local events by luminal or subluminal communication.
I guess that's a reasonable definition of "local", but how do you define "objective"? That's the difficult part. It's also the relevant part, since you referenced Hess & Phillip who discuss theories that are local in the sense of Bell, but not objective in the sense of Bell.
 
  • #47
mn4j said:
1) That is correct. Although it is wrong to say the particle "acquires a value". What is observed is a deterministic result of the information carried by both the particle and the measuring device.

2) If the particles carry correlated information from the source, and the instrument parameters are similar in settings and time, then isn't it obvious that two particles measured with the same instrument settings will be highly correlated? Note that the time difference between coincident measurements corresponding to the two particles in a single iteration of the experiment is very short compared to the time between different iterations. Note that although macroscopically, different orientations can be chosen, microscopically, the measuring instrument is just another quantum system with it's own time-varying information.

Ok, suppose I'm at one of the two measurement devices and the instrument settings are different just before an outcome is recorded. Suddenly, I decide to change the setting at my location and, as it turns out, the measurement devices now have the same settings so we must get the same outcomes. This change is not in accord with the method previously used to establish the settings and information about the new setting at my location, traveling at c, cannot reach the other measurement device before an outcome is recorded there. How do we end up with the same outcomes every time I pull this stunt?
 
  • #48
RUTA said:
Ok, suppose I'm at one of the two measurement devices and the instrument settings are different just before an outcome is recorded. Suddenly, I decide to change the setting at my location and, as it turns out, the measurement devices now have the same settings so we must get the same outcomes. This change is not in accord with the method previously used to establish the settings and information about the new setting at my location, traveling at c, cannot reach the other measurement device before an outcome is recorded there. How do we end up with the same outcomes every time I pull this stunt?

In reality, the alternative (read: wrong) local realistic explanations are not really theories. Here is Mermin's answer to one of Phillip and Hess's many attacks on Bell:

Shedding (red and green) light on "time related hidden parameters"

The usual program for the local realists is two-fold: a) find some hyper-technical word or "tacitly implied" assumption in Bell and beat that to death; and b) discuss how the scientific establishment is involved in a massive conspiracy to put one over on the general public.

To date, not one of these attacks has been able to reply to the simple question: what is the true correlation rate for entangled photons? Is it cos^2(theta), as seen experimentally (and predicted by QM)? Because obviously that is problematic (as Bell showed us). Note that Bell simply showed us how to calculate angles that this relation is problematic for Local Realistic theories, if there were one in front of us to discuss.

Personally, I think that folks like mn4j object to the idea that ALL local realistic theories are to be rejected. Actually, it is merely the subset that agree with the predictions of QM. Unfortunately for those same folks, that is the subset of interest.
 
  • #49
Fredrik said:
What you're supposed to "automatically understand" is that there is a definition, and that if you're going to claim that one of the most celebrated results in physics is "a straw man", "misguided", "unjustified", "not valid", "a trojan horse" and an attempt to "pull a fast one", you have to explain why. You have to state a definition of "objective local theory" (or whatever term you prefer), and explain why it's a better definition than the one (or the ones) represented by the assumptions that go into derivations of Bell inequalities.
You have not been paying attention otherwise you would have noticed that I have clearly outlined why Bell's theorem as commonly repeated in these forums is misguided and unjustified, and is hardly "one of the most celebrated results in physics". You don't have to like my arguments but at least be intellectually honest enough to see that they are reasonable. No doubt that you have been unable to provide an effective response to any of them, choosing rather to nit-pick at irrelevant peripheral issues.
I'm surprised that the moderators have tolerated your posts, because what you're doing is very clearly against the forum rules. They probably haven't been following this discussion. The rules are meant to prevent crackpot nonsense like yours. If you have a valid point to make against an established result, then make it in a well-known peer reviewed physics journal. After that it's OK to discuss it here.
That is the typical response when you realize you are in over your head. Everything I have mentioned in this thread is backed by published peer reviewed articles. I had no idea you had to subscribe to the dogmatic believes of the elite to be able to contribute on these forums :rolleyes:. But knowing that there is still a flat-earth society out there, and at one point in time some were burned on the stake for expressing dissenting opinions, I won't be surprised or deterred by that. But I also understand that having invested a lifetime to certain dogma, it can be threatening to suddenly realize the folly of it.
I see that you have at least stopped repeating the claim that Bell inequalities haven't been proved by experiment, which is one of the most bizarre statements I've seen in these forums for a while. (It's a lot worse than any statement that can be characterized as wrong, like "the moon is made of cheese". I hope you're at least beginning to see why).
I stopped repeating it because you had no response other than hand-waving. Bell's inequalities have never been experimentally verified. If the very thought of verifying Bell's inequalities experimentally is bizarre to you, then maybe you should answer what you expected the alternative result of the Aspect-type experiments to be.
Aspect, 1982b: A. Aspect et al., Experimental Test of Bell's Inequalities Using Time-Varying Analyzers, Phys. Rev. Lett. 49, 1804 (1982)
I guess according to you, Aspect et al. are crackpots for attempting to test Bell's inequalities.
I guess that's a reasonable definition of "local", but how do you define "objective"? That's the difficult part. It's also the relevant part, since you referenced Hess & Phillip who discuss theories that are local in the sense of Bell, but not objective in the sense of Bell.
It's not difficult at all, look up the meaning of ontological. Objective means ontological, which simply means independent of knowledge or observation. It simply means a reality independent of observation. Do you take issue with this definition?
Now you readily admit that Hess and Philipp's "objectively local" theory is not covered by Bells "celebrated" definition. If at the end of this thread, that is all you have taken out of it, I will have made my point.

So next time you see my claim that, Bell's theorem does not rule out all possible objectively local theories, and until it can be proven that all objectively local theories have been ruled out by Bell's inequalities, the issue of locality does not arise, you should think twice before jumping to say:

Fredrik said:
Wrong. Locality is still an issue, because when you derive the inequalities, you assume that the value of the quantity you're going to measure doesn't change when you rotate your measuring device.
At the very least, you will understand that there is a definition of "objective local theory" implied and if you are going to claim that a statement is wrong, you better make sure you have understood the definition, prior to any outbursts.
 
  • #50
RUTA said:
Ok, suppose I'm at one of the two measurement devices and the instrument settings are different just before an outcome is recorded. Suddenly, I decide to change the setting at my location and, as it turns out, the measurement devices now have the same settings so we must get the same outcomes. This change is not in accord with the method previously used to establish the settings and information about the new setting at my location, traveling at c, cannot reach the other measurement device before an outcome is recorded there. How do we end up with the same outcomes every time I pull this stunt?
There is no communication between the two stations, and the measurement at A has no ontological effect on the measurement at B at all.

The results at A are due ONLY to the local time-varying dynamics of the particle reaching A and the local time-varying dynamics of the measuring device at A, which includes of course local information about all the antics you may wish to perform just before the measurement is done, such as changing the angle etc. Similarly for B.

The violation of the results obtained by Bell for his inequalities is not due to any action at a distance or non-locality. Rather it is most likely due the fact that his assumptions do not cover objectively local hidden variable theories of the kind actually in play, and mathematically modeled by QM.

See:
Exclusion of time in the theorem of Bell
K. Hess et al 2002 Europhys. Lett. 57 775-781

Abstract. The celebrated inequalities of Bell are based on the assumption that local hidden parameters exist. When combined with conflicting experimental results these inequalities appear to prove that local hidden parameters cannot exist. This suggests to many that only instantaneous action at a distance can explain Einstein, Podolsky, Rosen (EPR) type of experiments. We show that Bell-type theories and proofs leading to the well-known inequalities completely exclude a large class of time dependencies in their considerations. Owing to the fact that the electrodynamics of moving bodies cannot be described by time-independent theories or models, we conclude that the Bell theorem cannot describe the physics of EPR experiments. We also show how hidden parameter theories that include time can obtain the quantum result.

Breakdown of Bell's theorem for certain objective local parameter spaces.
Hess and Philipp, PNAS February 17, 2004 vol. 101 no. 7 1799-1805
Abstract: We show that the known proofs of Bell's inequalities contain algebraic manipulations that are not appropriate within the syntax of Kolmogorov's axioms for probability theory without detailed justification. Such justification can be achieved by a variant of the techniques used in Bell-type proofs but only for a subclass of objective local parameter spaces. It cannot be achieved for an extended parameter space that is still objective local and that includes instrument parameters correlated by both time and setting dependencies.

Last I checked, those are not crack-pot journals by any means.
 
  • #51
mn4j said:
That is the typical response when you realize you are in over your head.
It's the response you should expect from someone who's fed up with your nonsense, but I'm not surprised to see you use it as a reason to claim victory.

mn4j said:
I stopped repeating it because you had no response other than hand-waving. Bell's inequalities have never been experimentally verified. If the very thought of verifying Bell's inequalities experimentally is bizarre to you, then maybe you should answer what you expected the alternative result of the Aspect-type experiments to be.

I guess according to you, Aspect et al. are crackpots for attempting to test Bell's inequalities.
Wow. You really don't get it, do you?
 
  • #52
Closed pending moderation.
 

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