Local interpretations of quantum mechanics

[Finbar]

I was wondering if anyone knows whether there exist strictly local interpretations of quantum mechanics. I understand that Bell's theorem tells us that any hidden variable theory must be non-local if it is to give QM. But what about other interpretations such as many worlds? It is obvious that wave function collapse is non-local so any interpretation that views this as a real process must be non-local. This is why my guess is that MW could be local since there is no physical collapse. What about decoherent histories?

Thanks,

Fin.

 

[bohm2]

Try this blog:

https://www.physicsforums.com/blog.php?b=3622

 

[Demystifier]

Finbar, as you can see at my blog mentioned above, both MW and decoherent histories are local in a certain sense, but with a big price to pay for that.

 

[DrChinese]

I was wondering if anyone knows whether there exist strictly local interpretations of quantum mechanics. I understand that Bell's theorem tells us that any hidden variable theory must be non-local if it is to give QM. But what about other interpretations such as many worlds? It is obvious that wave function collapse is non-local so any interpretation that views this as a real process must be non-local. This is why my guess is that MW could be local since there is no physical collapse. What about decoherent histories?

Thanks,

Fin.

In addition to those mentioned above, there is another important class of local interpretations: the Time Symmetric group. In these, the causal light cone extends in both directions of time. This gives the appearance of non-locality but c is still a limiting factor for propagation of effects.

Here are a couple of references to get you started on these:

http://arxiv.org/abs/0706.1232
New Insights on Time-Symmetry in Quantum Mechanics
Yakir Aharonov, Jeff Tollaksen (2007)

http://arxiv.org/abs/0908.4348
Relational Blockworld: A Path Integral Based Interpretation of Quantum Field Theory
W.M. Stuckey, Michael Silberstein, Timothy McDevitt