On Thursday, October 10, 2019 at 3:27:58 PM UTC-6, Brent wrote:
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> On 10/10/2019 8:02 AM, Alan Grayson wrote:
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> On Wednesday, October 9, 2019 at 4:21:50 PM UTC-6, Brent wrote: 
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>> On 10/9/2019 3:52 AM, Alan Grayson wrote:
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>> On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote: 
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>>> On 10/8/2019 9:20 PM, Alan Grayson wrote: 
>>> > I've argued this before, but it's worth stating again. It's a 
>>> > misintepretation of superposition to claim that a system described by 
>>> > it, is in all the component states simultaneously. As is easily seen 
>>> > in ordinary vector space, an arbitrary vector has an uncountable 
>>> > number of different representations. Thus, to claim it is in some 
>>> > specific set of component states simultaneously, makes no sense. Thus 
>>> > evaporates a key "mystery" of quantum theory, inclusive of S's cat and 
>>> > Everett's many worlds. AG 
>>>
>>> No.  It changes the problem to the question of why there are preferred 
>>> bases. 
>>>
>>> Brent 
>>>
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>> Who chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it 
>> the observer? 
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>> Could the observer have chosen |alive>+|dead> and |alive>-|dead> as a 
>> basis?
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>> Brent
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> *That's a great question and the answer is No, because, as you would say, 
> the pair (|Alive>, |Dead>), forms a "preferred" basis. We can only measure 
> Alive or Dead. However, the other pair you have above is a perfectly valid 
> state of the S cat system, a vector in the Hilbert Space of the system, and 
> presumably there is an uncountable set of other valid states in Hilbert 
> Space. This means that the interpretation of a superposition of the first 
> pair is just as valid as the interpretation of any other pair; namely, that 
> the system is in both components simultanously. But this is obvious 
> nonsense given the plethora of valid bases, so the interpretation fails. 
> THIS is my point. Am I mistaken? AG*
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> The way I read what you posted above is that it would "make no sense" to 
> say a ship on a heading of 345deg is simultaneously moving on a 270deg and 
> 90deg heading.  I think that does make sense.   The interesting question is 
> could it be moving on some other heading?  The answer might be no, it's in 
> the Panama Canal.  In other words there may be something else in physics 
> that determines  perferred basis, even thought he bare Schrodinger equation 
> doesn't seem to.
>
> brent
>

No, not what I meant. Rather, a ship with a heading of 345 deg, could be 
represented as moving on a 270deg and 90deg heading, *as well as an 
uncountable combination of other headings.*  I think this fundamental 
misinterpretation of superposition of states leads to the MWI and a host of 
other "mysteries" alleged in QM. AG 

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