According to Kennedy tensor product (in QM) has a very interesting story.

https://philpapers.org/rec/KENOTE


> Il 24 aprile 2018 alle 7.00 Brent Meeker <[email protected]> ha scritto:
> 
> 
> 
>     On 4/23/2018 6:00 PM, [email protected] 
> mailto:[email protected] 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
> 
 

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