Bell unequation and Bohm hidden variables

In summary, it is said that experiment which unproves Bell's unequation does not unprove Bohm hidden variables. Bohmian mechanics is an interpretation of QM which is equivalent to standard QM, but it cannot be used to explain Compton scattering experiments in terms of a physical mechanism.
  • #1
exponent137
561
33
It is said that experiment which unproves Bell's unequation does not unprove Bohm hidden variables.
To me Bohm's interpratation seem rather unbeliveable. But it should exist experiment which could unprove it. Which is this experiment? Maybe it is enough that Bohm equation does not work in relativistic regime? Or...?
 
Physics news on Phys.org
  • #2
exponent137 said:
It is said that experiment which unproves Bell's unequation does not unprove Bohm hidden variables.
To me Bohm's interpratation seem rather unbeliveable. But it should exist experiment which could unprove it. Which is this experiment? Maybe it is enough that Bohm equation does not work in relativistic regime? Or...?

First of all, the demonstration of Bell inequality violations via experiment has proven that no theory of LOCAL hidden variables can reproduce the prediction of QM. However Bohmian mechanics is a NON-local HV theory, so it is not addressed by Bell's theorem at all.

Bohmian mechanics has been shown to be completely equivalent to standard QM in terms of its ability to reproduce and predict experimental results. I cannot comment on the validity of BM in relativistic regime, however I have seen DeMystifier respond to others that his published research addresses those issues. You might want to search for those responses.

As far as experimental disproof of Bohmian mechanics is concerned, that is a very tall order at this point. BM is an interpretation of QM, in that it addresses what goes on "behind the scenes" ... the reason that this is open to interpretation in the first place is that all of the experimentation that has been done to date in QM has not given us insight to know what actually happens when QM systems are not being measured. So, any experiment that could even reliably test the hypotheses of Bohmian mechanics would also necessarily test the CI, and MWI, and all the other interpretations as well.

It might also cut the traffic on the QM Forum at PF by 50% or more, once the first flurry of discussion ended. Once the question of which interpretation is correct is settled, what will we have to argue about incessantly? :wink:
 
  • #3
SpectraCat said:
It might also cut the traffic on the QM Forum at PF by 50% or more, once the first flurry of discussion ended. Once the question of which interpretation is correct is settled, what will we have to argue about incessantly? :wink:

So true! Then we would be forced to go over and spend time discussing the best and most promising approaches to string theory... :biggrin:
 
  • #4
SpectraCat said:
First of all, the demonstration of Bell inequality violations via experiment has proven that no theory of LOCAL hidden variables can reproduce the prediction of QM. However Bohmian mechanics is a NON-local HV theory, so it is not addressed by Bell's theorem at all.

Bohmian mechanics has been shown to be completely equivalent to standard QM in terms of its ability to reproduce and predict experimental results. I cannot comment on the validity of BM in relativistic regime, however I have seen DeMystifier respond to others that his published research addresses those issues. You might want to search for those responses.

As far as experimental disproof of Bohmian mechanics is concerned, that is a very tall order at this point. BM is an interpretation of QM, in that it addresses what goes on "behind the scenes" ... the reason that this is open to interpretation in the first place is that all of the experimentation that has been done to date in QM has not given us insight to know what actually happens when QM systems are not being measured. So, any experiment that could even reliably test the hypotheses of Bohmian mechanics would also necessarily test the CI, and MWI, and all the other interpretations as well.

It might also cut the traffic on the QM Forum at PF by 50% or more, once the first flurry of discussion ended. Once the question of which interpretation is correct is settled, what will we have to argue about incessantly? :wink:

When I had read Bohm, I was not striken by any non-local aspects of his theory, but by the corpuscular ones. So his drawings on Zitterbewegung were dismaying. It seems that the ones in the Greiner book are precisely those of Bohm (p. 118, Relativistic Quantum Mechanics, Wave Equations. Springer 1997).

Did he made a good physical explanation of the Compton scattering ? Physical mechanism, not a mathematical phenomenology of the statistical results.
 
Last edited:

What is the Bell inequality?

The Bell inequality, also known as the Bell's theorem, is a mathematical proof that shows the limitations of local hidden variable theories in explaining the results of quantum entanglement experiments. It states that no local hidden variable theory can reproduce all the statistical predictions of quantum mechanics.

What are Bohm hidden variables?

Bohm hidden variables, proposed by physicist David Bohm, are a set of additional variables that determine the behavior of a quantum system. These variables are hidden from our observation and are responsible for the apparent randomness of quantum phenomena. They were introduced as a way to explain the puzzling results of the famous EPR (Einstein-Podolsky-Rosen) thought experiment.

How does the Bell inequality relate to Bohm hidden variables?

The Bell inequality is a mathematical proof that shows the incompatibility of local hidden variable theories, such as Bohm hidden variables, with the predictions of quantum mechanics. It demonstrates that no local hidden variable theory can reproduce the results of quantum entanglement experiments, which have been verified by numerous experiments.

Can the Bell inequality be violated?

Yes, the Bell inequality can be violated, and it has been experimentally demonstrated to be violated in many quantum entanglement experiments. This violation provides strong evidence for the validity of quantum mechanics and the non-existence of local hidden variables.

Why is the Bell inequality important in quantum physics?

The Bell inequality is crucial in quantum physics because it provides a way to test the predictions of quantum mechanics against the predictions of local hidden variable theories. Its violation by quantum entanglement experiments has led to a deeper understanding of the fundamental principles of quantum mechanics and has ruled out the possibility of local hidden variables as a valid explanation for quantum phenomena.

Similar threads

  • Quantum Interpretations and Foundations
10
Replies
333
Views
11K
  • Quantum Interpretations and Foundations
2
Replies
45
Views
3K
  • Quantum Interpretations and Foundations
Replies
2
Views
771
  • Quantum Interpretations and Foundations
2
Replies
37
Views
1K
Replies
190
Views
9K
  • Quantum Interpretations and Foundations
3
Replies
97
Views
6K
  • Quantum Physics
Replies
7
Views
1K
  • Quantum Interpretations and Foundations
11
Replies
376
Views
10K
  • Quantum Interpretations and Foundations
9
Replies
309
Views
8K
Replies
80
Views
4K
Back
Top