On Thursday, July 5, 2018 at 2:03:46 PM UTC-6, Brent wrote:
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> On 7/5/2018 11:27 AM, [email protected] <javascript:> wrote:
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> On Wednesday, July 4, 2018 at 10:57:06 AM UTC-6, Brent wrote: 
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>> On 7/4/2018 1:57 AM, 'scerir' via Everything List wrote:
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>> *No. I am asserting that the INTERPRETATION of the superposition of 
>> states is wrong. Although I have asked several times, no one here seems 
>> able to offer a plausible justification for interpreting that a system in a 
>> superposition of states, is physically in all states of the superposition 
>> SIMULTANEOUSLY before the system is measured. If we go back to those little 
>> pointing things, you will see there exists an infinite uncountable set of 
>> basis vectors for any vector in that linear vector space. For quantum 
>> systems, there is no unique basis, and in many cases also infinitely many 
>> bases, So IMO, the interpretation is not justified. AG* 
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>> ***SIMULTANEOUSLY*** was used by EPR in their paper, but that did not 
>> have much meaning (operationally, physically).
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>> Can we say that the observable, in a superposition state, has a 
>> ***DEFINITE*** value between two measurements?
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>> No - in general - we cannot say that.
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>> It's in some definite state.  But it may be a state for which we have no 
>> measurement operator or don't intend to measure; so we say it is in a 
>> superposition, meaning a superposition of the eigenstates we're going to 
>> measure.  So it does not have one of the eigenvalues of our measurement.
>>
>> Brent
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> *So for the radioactive source, the superposed state, Decayed + Undecayed, 
> does NOT imply the system is in both states simultaneously? *
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> No, it is in a state that consists of Decayed+Undecayed.  So in a sense it 
> is in both simulatnaeously.  If you are sailing a heading of 45deg you are 
> on a definite heading.  But you are simultaneously traveling North and 
> East.  And if someone was watching you with a radar that could only output 
> "moving north" or "moving east" it would oscillate between the two and you 
> might call that a superposition of north and east motion.
>
> Brent
>

*I see. But as I have pointed out, there are uncountably many sets of basis 
vectors that result in the same vector along the 45 deg direction. Thus, it 
makes no sense to single out a particular basis and claim it is 
simultaneously in both. ISTM, this is the cause of many of the apparent 
paradoxes in QM such as Schroedinger's cat, or a radioactive source which 
is decayed and undecayed simultaneously. I have no objection using such a 
state to do a calculation, but I think it's an error to further interpret a 
superposition in terms of simultaneity of component states. What say you? 
AG*

>
> *Same for cat, Alive + Dead? Same for ( (Undecayed, Alive)  + (Decayed, 
> Dead) ) for Schroedinger's composite system? If that's the case, why would 
> anyone think these states are in any way paradoxical or contradictory? AG*
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