On 24 Nov 2017, at 20:32, Jason Resch wrote:



On Fri, Nov 24, 2017 at 1:15 PM, Bruno Marchal <[email protected]> wrote:


I was just explaining that a measurement is any memorable interaction, which is simplest to illustrate with a tensor product of Alice (|A>)and a simple superposition. In your notation: |A> (| UP> + |DN>) = |A> |UP> + |A> |DN> .

In the case of the singlet state, it is more subtle, as |UP>|DN> - | DN>|UP> describes a many-worlds with Alice having a spin in any direction, and Bob, too but the opposite relatively to each others (the notation is misleading). We must keep in mind the rotational invariance of the spin. So we the Alice Bob situation is more intricate and tedious to describe. Sometimes I referred to the simple account of this in the Everett FAQ by Michael Clive Price, but it seems not available since some times. We have copied the relevant details in previous discussions though, so you might try to find it in the archives with the key word "Michael", or something. I have unfortunately not the time "here and now". Later perhaps. With Everett, it is important to reason independently of the bases in between the measurements.

I guess you see that violation of the BI leads to "action at a distance" if we assume a collapse, or a mono-world theory. I don't see Bell' argument applying in the MW context, though.

Bruno





Is this the Many Worlds FAQ you were referring to? 
http://www.anthropic-principle.com/preprints/manyworlds.html

Yes, that one! Thank you Jason!



I think the parts relevant to EPR, Bell Inequality and Locality (for those interested) are Q12 and Q32.

Yes, right, and also its appendices. (Not sure why the page contains the whole FAQ in two exemplars).

I am glad it is still available online, as it is, imo, a very good FAQ on Everett. I just saw that M. C. Price also recall that Everett gives a new theory, not a new interpretation. Good! Usually only logicians see this!

Best,

Bruno




Jason

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