Bell unequation and Bohm hidden variables

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Discussion Overview

The discussion revolves around the implications of Bell's inequality and its relationship with Bohmian mechanics, particularly focusing on whether experiments can disprove Bohm's interpretation of quantum mechanics. Participants explore the nature of hidden variable theories, the non-locality of Bohmian mechanics, and the challenges of experimentally testing these interpretations.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants assert that while Bell's inequality violations rule out local hidden variable theories, they do not address non-local theories like Bohmian mechanics.
  • There is a suggestion that Bohmian mechanics has been shown to be equivalent to standard quantum mechanics in terms of experimental predictions, but its validity in the relativistic regime remains uncertain.
  • One participant notes that any experiment designed to test Bohmian mechanics would also inherently test other interpretations of quantum mechanics, such as the Copenhagen interpretation and many-worlds interpretation.
  • Concerns are raised about the difficulty of experimentally disproving Bohmian mechanics, as it is fundamentally an interpretation rather than a theory that makes distinct predictions.
  • Another participant reflects on their reading of Bohm, expressing skepticism about the non-local aspects and questioning the physical explanations provided for phenomena like Compton scattering.

Areas of Agreement / Disagreement

Participants generally agree that Bell's theorem does not apply to Bohmian mechanics due to its non-local nature. However, there is no consensus on the implications of this distinction or on the feasibility of experimentally disproving Bohmian mechanics.

Contextual Notes

Limitations include the unresolved status of Bohmian mechanics in the relativistic regime and the dependence on interpretations of quantum mechanics that remain open to debate.

exponent137
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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...?
 
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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:
 
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:
 
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.
 
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