> On 16 Aug 2018, at 21:58, [email protected] wrote:
> 
> 
> 
> On Thursday, August 16, 2018 at 10:05:31 AM UTC, Bruno Marchal wrote:
> 
>> On 15 Aug 2018, at 13:33, Bruce Kellett <[email protected] 
>> <javascript:>> wrote:
>> 
>> From: Bruno Marchal <[email protected] <javascript:>>
>>>> On 15 Aug 2018, at 01:48, Bruce Kellett <[email protected] 
>>>> <javascript:>> wrote:
>>>> 
>>>> From: Bruno Marchal <[email protected] <javascript:>>
>>>>>> On 14 Aug 2018, at 04:30, Bruce Kellett <[email protected] 
>>>>>> <javascript:>> wrote:
>>>>>> 
>>>>>>> If they are space separated, I am not sure I can make sense of being in 
>>>>>>> the same branch.
>>>>>> 
>>>>>> You appear to be referring to the presence of quantum fluctuations 
>>>>>> continually splitting the classical Alice and Bob into multiple copies 
>>>>>> -- the point that Jason has made.
>>>>> 
>>>>> That points is correct, but I was alluding to the infinity of Bob and 
>>>>> Alice couples associated with the singlet state. That is needed to tackle 
>>>>> the case where Alice and Bob makes non orthogonal measurements.
>>>> 
>>>> I was trying to make sense of the suggestion of many Alices and Bobs 
>>>> before any measurement. That can easily be implemented by having  Alice 
>>>> select her measurement angle according to the time of some radioactive 
>>>> decay. Since an infinity of decay times is possible, we get a 
>>>> superposition of an infinite number of copies of Alice.
>>> 
>>> OK. But we have this in our context too.
>>> 
>>>> But this makes not difference to the basic argument -- one just picks out 
>>>> a typical Alice.
>>> 
>>> How?
>> 
>> Do you really no know how to pick out a typical component from an ensemble?
> 
> 
> I cannot when the elements cannot be distinguished. Alice cannot do that, but 
> each Bob and Alice picks their counterparts by doing their measurements, but 
> that take some times.
> 
> 
> 
>> 
>>>> You are wrong when you claim that an infinity of couples are required to 
>>>> make sense of measurements made at arbitrary angles.
>>> 
>>> Why?
>> 
>> Because that is not how angular momentum operators in quantum mechanics work.
>> 
>>>> The singlet state is rotationally symmetric,
>>> 
>>> That’s why.
>> 
>> That's why what?
> 
> 
> That is why a singlet state describe a collection of situations withAlice’s 
> particles spin well defined in all directions (and the opposite for Bob). But 
> none know which one.
> 
> 
>> 
>>>> and can be expressed in any base. But this does not mean that there 
>>>> actually exists a copy of the observer for each of the potential bases. 
>>>> That idea makes no sense at all; it is not part of quantum mechanics in 
>>>> any possible formulation.
>>> 
>>> ?
>>> 
>>> That would contradict the complementary principle. A well localised 
>>> particle is a particle having almost all possible momenta in many different 
>>> histories.
>> 
>> For fuck's sake, Bruno. Do you understand nothing of elementary quantum 
>> mechanics?
> 
> No comment.
> 
> 
> 
> 
>> The angular momentum operators do not commute, sure, so that if one has a 
>> precise measurement in one direction, one has no knowledge of the projection 
>> in an orthogonal direction. But the possible values of any such operator on 
>> the spin-1/2 state are +1 or -1 (in units of hbar/2). So there is no 
>> infinity as there is in the case of the complementarity of position and 
>> momentum operators!
> 
> No problem with this, but Alice can choose to measure that spin in any 
> direction.
> 
> 
> 
>> 
>> Besides, it is possible to have exact values for both the total angular 
>> momentum operator (L^2) and any particular component, say L_z if we are 
>> measuring in that direction, and that is all we require here. See the 
>> Wikipedia article:
>> 
>> https://en.wikipedia.org/wiki/Angular_momentum_operator#Uncertainty_principle
>>  
>> <https://en.wikipedia.org/wiki/Angular_momentum_operator#Uncertainty_principle>
>> 
>> 
>>>>> The singlet state does not single out one base, despite the notation. It 
>>>>> describes an infinite of Alice and Bob right at the start.
>>>> 
>>>> Sure, the singlet state does not single out one base. But that does not 
>>>> mean that it describes an infinity of observers. Just because you can 
>>>> measure at any angle does not mean that there is actually an infinity of 
>>>> observers making all those possible measurements. That notion is just 
>>>> crazy.
>>> 
>>> ?
>>> 
>>> It is just what the wave described literally. 
>> 
>> No, it is not. Look up some reference on the application of the uncertainty 
>> principle to angular momentum operators. (Such as the Wikipedia article 
>> above.)
> 
> I do not see any problem between what I said and that wiki pages, which is 
> rather neutral on the interpretations. They do not provide the “many-worlds” 
> view on this, and some links there suggests they use the  Copenhagen 
> formulation. 
> 
> You seem to reintroduce implicitly some collapse in the picture. That’s my 
> feeling, as this is not clear. When measuring a spin: there are two possible 
> values *for all possible direction of the spin*. That makes infinitely many 
> worlds. Same for an electronic orbital. There are as many world that the 
> possible position of the  electron in the orbitals.
> 
> 
> In such scenario, you'd have to include all bound electrons in the universe, 
> bound to atoms and molecules, from which the number of possible worlds and 
> Alice's would hugely metastasize.

Yes. Well, all those atoms to which I am casually not related, that is 
basically those out of my light cone. Yes, with both QM and computationalism, 
we are somehow multiplied by our factual ignorance, when due to isolation.




> I am fine with this scenario provided you add immaculate conception to the 
> multiple universes and Alice's. AG 

By definition, the universal wave is immaculate, it seems to me.

Bruno




> Are you OK with this? I try to figure out what is your interpretation of the 
> SWE.
> 
> Bruno
> 
> 
> 
> 
>> 
>> Bruce
>> 
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