Concerning pure states which are linear sums of basis vectors, aka a 
superposiiton, my claim is that a system which is in such a state, is NOT 
simultaneously in all states of the superposition; rather, as in linear 
algebra, each basis state just contributes to, but is not equivalent to the 
summed state. With this interpretation, some of the weird claims of QM go 
away, such as that a system can be in different locations simultaneously. AG

On Saturday, November 16, 2024 at 10:19:31 PM UTC-7 Alan Grayson wrote:

> Doesn't a mixed state satisfy the Ignorance Interpretation by definition? 
> Concerning a pure state, does it negate the Ignorance Interpretation 
> because it's a linear combination of pure state vectors in some Hilbert 
> Space? 
>
> Brent was emphatic, writing "exactly wrong" that a pure state, presumably 
> represented as a linear sum of pure basis states, could be interpreted by 
> the Ignorance Interpretation. But he hasn't proven that, or given a link 
> which does. 
>
> Quentin, OTOH, offered an example to show that a pure state could not be 
> interpreted as satisfying the Ignorance Interpretation, but his example had 
> a typo near the beginning which he hasn't corrected, so I gave up on his 
> example.
>
> So, what is the status of the Ignorance Interpretation for mixed and pure 
> states, and why is that the case. TY, AG
>

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