On Tuesday, April 24, 2018 at 5:00:42 AM UTC, Brent wrote:
>
>
>
> On 4/23/2018 6:00 PM, [email protected] <javascript:> wrote:
>
> * First Principles, the tensor product can be used to describe the 
> composite system. It's virtually impossible to find an explanation from 
> First Principles. AG*
>
>
> It's because the two systems are assumed independent, so every combination 
> of variable values, one system A and one from system B and occur...which it 
> the definition of a tensor product.
>
> Brent
>

When you create a singlet pair, how do you know the subsystems are 
*independent*, which, according to what you claim, is the basis for writing 
the tensor product in the wf for the singlet system?

Also, the tensor product is a bit more complicated. Every Ket is looking 
for a Bra, and we're dealing with a bi-linear mapping to the reals, from 
the inner product expanded as a Bra-Ket. Those Bra's, not explicitly 
included in the way the wf is usually written, are members of the dual 
space, dual to vector space of the Kets. It's complicated and I have to 
review some of the mathematics here, and hopefully, some day, to see how it 
relates to the singlet state wf. For something as important as non 
locality, I think we are obliged to do the detailed analysis.

AG

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