On Friday, April 20, 2018 at 1:04:05 PM UTC, Lawrence Crowell wrote:
>
> On Friday, April 20, 2018 at 7:00:25 AM UTC-5, Bruce wrote:
>>
>> From: <[email protected]>
>>
>>
>>
>> *Does entanglement -- which occurs whenever two systems interact -- imply 
>> non-locality? AG*
>>
>>
>> Not necessarily. If there is a common cause explanation of the 
>> correlation, as in classical physics where particles always have definite 
>> momenta, then there is no need for a non-local explanation. However, in 
>> quantum systems such as the singlet state of entangled spinors, then no 
>> common cause or hidden variable explanation is available and we have 
>> non-locality.
>>
>> Actually a similar thing happens in any collision between two quantum 
>> particles. If we assume an elastic collision, the outgoing particles will 
>> be in the form of outgoing spherical waves -- neither the individual 
>> momenta or directions are specified by the collision itself. So observing 
>> the direction and/or momentum of one particle determines the direction and 
>> momentum of the other remote particle. There is no common cause or hidden 
>> variable explanation available for this, especially if the observations are 
>> at space-like separations. However, as far as I know there are no Bell-like 
>> inequalities that are violated by the statistics in this case, so the 
>> non-locality is not always obvious. Interestingly, this forms the basis for 
>> an important measurement tool at high energy accelerators. Often the output 
>> from experiments will be in the form of a missing mass plot, which is 
>> constructed by summing the momenta of the observed particles and 
>> determining what is missing. This can then be the basis of a search for 
>> undetectable or new particles.
>>
>> Bruce
>>
>
> There is an open question about this. The role of interactions is not 
> entirely clear. For instance, if we have a proton on proton collision that 
> produces as Z particle, the decay products of the Z, ultimately for 
> instance it might be a pair of photons, are entangled. The role of 
> interactions and the relationship between gauge symmetries and the quotient 
> group structure of entanglements is an interesting topic.
>
> It does have to be pointed out that in QFT with equal time commutators of 
> operators on spatial surfaces the nonlocality of QM is swept under the rug. 
> Since these nonlocal physics will only be apparent over a tiny distance 
> compared to the scale of the detector this loss is not considered terrible. 
> This eliminates nonlocality as some confusion with causal propagation, 
> which BTW happens with the Bohm relativistic QM. 
>
> LC
>

I thought one of the main insufficiencies with Bohm QM is that it can't be 
made relativistic. AG 

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