Could hidden dimensions help hidden variable theories ?

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Hidden dimensions may not aid in developing a hidden variable theory that aligns with quantum mechanics, as Bell's Theorem asserts that local hidden variable theories cannot replicate all quantum predictions. Quantum entanglement appears to function outside conventional spacetime, yet the introduction of extra dimensions does not alter the non-locality required by hidden variable theories. The discussion suggests that while quantum mechanics can be considered local in a multi-dimensional configuration space, the complexities of mapping between these dimensions and observable spacetime remain unclear. The consensus indicates that without a global aspect to these dimensions, they may not resolve the challenges posed by hidden variable theories. Overall, the relationship between hidden dimensions and quantum theory remains a complex and unresolved issue.
Spinnor
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Could hidden dimensions help "hidden variable theories"?

Could extra unobserved dimensions be of use in finding a hidden variable type theory that also satisfied Quantum Theory?

Thanks for any help!
 
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Not unless those dimensions are somehow "global". According to Bell's Theorem:

No physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics.
 


Spinnor said:
Could extra unobserved dimensions be of use in finding a hidden variable type theory that also satisfied Quantum Theory?

Thanks for any help!

quantum entanglement seems to, in some ways, operate "outside" (or unaffected by) time-space.
 


DrChinese said:
Not unless those dimensions are somehow "global". According to Bell's Theorem:

No physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics.
Actually, QM is local in the multi-dimensional configuration space:
https://www.physicsforums.com/showthread.php?t=285019
 


Spinnor said:
Could extra unobserved dimensions be of use in finding a hidden variable type theory that also satisfied Quantum Theory?

Thanks for any help!

The argument that would force a hidden variable theory to be non-local if they existed does not, to the best of knowledge, change in any way if you allow for extra curled up spatial dimensions.
 


Demystifier said:
Actually, QM is local in the multi-dimensional configuration space:
https://www.physicsforums.com/showthread.php?t=285019

That is a very complex point. I would have to presume there is some kind of mapping from one to the other. Or perhaps a projection (from configuration space to our observable spacetime)? Anyway, I wouldn't have a clue as to where to begin on any of this side of things.

Although to be fair, I think non-local is usually taken to be in observable spacetime.
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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