On Monday, April 23, 2018 at 11:54:15 PM UTC, Bruce wrote:
>
> From: <[email protected] <javascript:>>
>
> On Monday, April 23, 2018 at 7:38:30 PM UTC, [email protected] wrote: 
>
>> On Monday, April 23, 2018 at 1:20:05 PM UTC, [email protected] wrote: 
>>>
>>>
>>>
>>> On Monday, April 23, 2018 at 8:58:53 AM UTC, Bruce wrote: 
>>>>
>>>> From: <[email protected]>
>>>>
>>>>
>>>> On Monday, April 23, 2018 at 5:53:59 AM UTC, Bruce wrote: 
>>>>>
>>>>> From: <[email protected]>
>>>>>
>>>>>
>>>>> Let's agree that electrons A and B form a singlet entangled system. 
>>>>> Let's further agree that they are non separable. What do you do with the 
>>>>> fact that when their spins are measured, they ARE in different spatial 
>>>>> locations, not even space separated in Bell experiments. How do we deal 
>>>>> with this FACT? AG
>>>>>
>>>>>
>>>>> What do you want me to do with the fact? I learn to live with facts 
>>>>> that I can't do anything about. The fact that the system is non-local is 
>>>>> a 
>>>>> fact that you just have to come to terms with.
>>>>>
>>>>> Bruce
>>>>>
>>>>
>>>> *ISTM that when you have a theory that seems correct and in some sense 
>>>> is well tested, but there are facts which contradict it, in this case a 
>>>> key 
>>>> fact right in front of your nose which contradicts it -- the fact that we 
>>>> see as plain as daylight that the subsystems as spatially separated -- 
>>>> invariably the theory must be wrong. AG*
>>>>
>>>>
>>>> I wish you luck with your project to prove quantum mechanics wrong.
>>>>
>>>> Bruce
>>>>
>>>
>>> *Right now I have a more modest goal. Starting from the postulates of 
>>> QM, how do you justify writing the wf of the singlet state as a 
>>> superposition of tensor product states? TIA AG *
>>>
>>
>> *What it's not. It's not the SWE. It's not Born's Rule. It's not the 
>> operator correspondence with observables. AG *
>>
>
> *I suppose it could be traced to the superposition principle; that the 
> state vector of the singlet state is a linear combination of the states 
> which are members of the corresponding Hilbert space of the system. But why 
> are these states tensor product states? AG*
>
>
> Why try worrying these things out for yourself? The easiest thing is to go 
> and look up a text book.
>
> Bruce
>

*Recall when I asked whether entanglement necessarily implies non locality. 
You replied "not necessarily" and gave the classical example of elastic 
scattering of billiard balls where the momentum of its constituents and the 
whole system is known exactly. No uncertainty. In the wf for the singlet 
system you assume a definite net spin angular momentum, zero. How can you 
treat the singlet system quantum mechanically and at the same time assume 
you know its spin momentum exactly? Do you think this question could be 
answered in a text book? How could I even pose it to an inert, non 
responsive medium? AG   *

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