On 11/17/2017 4:23 PM, Bruce Kellett wrote:
On 18/11/2017 10:43 am, [email protected] wrote:
On Friday, November 17, 2017 at 3:18:39 PM UTC-7, Bruce wrote:

    On 18/11/2017 12:10 am, Bruno Marchal wrote:
    On 15 Nov 2017, at 22:26, Bruce Kellett wrote:
    On 16/11/2017 1:55 am, Bruno Marchal wrote:
    On 15 Nov 2017, at 00:55, Bruce Kellett wrote:
    On 15/11/2017 12:47 am, Stathis Papaioannou wrote:
    On Mon, 13 Nov 2017 at 8:54 am, Bruce Kellett
    <[email protected] <javascript:>> wrote:


        I don't think you have fully understood the scenario I
        have outlined.
        There is no collapse, many worlds is assumed throughout.
        Alice splits
        according to her measurement result. Both copies of
        Alice go to meet
        Bob, carrying the other particle of the original pair.
        Since they both
        have now met Bob, the split that Alice occasioned has
        now spread to
        entangle Bob as well as the rest of her environment. So
        there are now
        two worlds, each of which has a copy of Bob, and an
        Alice, who has a
        particular result. Locality says that Bob's particle is
        unchanged from
        production, so when he measure its spin, he splits into
        two copies,
        according to spin up or spin down. Since Alice is
        standing beside him,
        she also becomes entangled with his result. But Alice
        already has a
        definite result in each branch, so we now have four
        branches: with
        results 'up-up', 'up-down', 'down-up', and 'down-down'.
        However, only
        the 'up-down' and 'down-up' branches conserve angular
        momentum. How do
        you rule out the other branches?


    When you put something in the cupboard and come back later
    to get it, why, under MWI, is it still there?

    I don't understand the significance of your question. Why
    wouldn't things remain stable in MWI? After all, the whole
    world, as it is, becomes entangled with the particular
    branching event.

    OK, but not instantaneously. This might be the point where we
    disagree in the interpretation of the Non-collapse theory.

    I think that the general idea is that the entanglement with the
    result spreads at the velocity of light -- inside the forward
    light cone. This spread of entanglement does not require that
    all objects in the forward light cone have explicitly
    interacted with the original event. The mathematics are quite
    clear on this point.

    You are right. So you might need an experience like Mandel &
    Co(I will look at the reference, I guess you see which
    experience I allude to) where two distant lasers create a
    singlet state non locally. That one has made me doubt that MW
    could avoid Action-at-a-distance, and some thought experience by
    Lucien Hardy too, but eventually, I remain unconvinced,

    You will have to give more precise references. Searching on these
    names throws up so many papers that it is impossible to sort out
    exactly what you mean here.

    because wherever are the actors, the singlet state never
    describes a non-local affair, it only predicts the result of the
    people who will met at some time.

    The singlet state is intrinsically non-local.


But as Brent claims, and I think he is correct, there is a basis in which the singlet state is a eigenfunction. In that basis, the obvious non locality may not be so obvious, if indeed it exists. AG

I think you might have misunderstood Brent. The entangled singlet state is not an eigenfunction of any operator. It has a definite spin, but there is no local operator that corresponds to this.

No/*local*/ operator.  But in theory there is a basis in which the singlet state is an eigenstate.  In fact it's the eigenstate of our preparation process regarded as an operator.  The operator to project onto this eigenstate is non-local and would involve interacting with both particles so as to produce 1 if their spins were opposite, 0 if not, but (quantum) erase which way the spin pointed.

Brent

The entangled singlet consists of two particles which exist in different subspaces of the wider configuration space. The particles are not separable, and the singlet state requires both of them. Hence the non-locality.

Bruce

    It actually has nothing to do with whether people meet or not -
    it describes a situation which explicitly violates Einstein's
    notion of local realism: the state of one of the entangled pair
    is not separable from the state of the other distant particle.
    Non-separability here implies non-local influence, or simple
    non-locality. The attempt to claim that non-separability does not
    imply non-locality is mere verbal gymnastics, with no physical
    content.

    Bruce


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