On Tuesday, December 4, 2018 at 9:57:41 PM UTC, Bruce wrote:
> On Wed, Dec 5, 2018 at 2:36 AM <agrays...@gmail.com <javascript:>> wrote:
>> *Thanks, but I'm looking for a solution within the context of 
>> interference and coherence, without introducing your theory of 
>> consciousness. Mainstream thinking today is that decoherence does occur, 
>> but this seems to imply preexisting coherence, and therefore interference 
>> among the component states of a superposition. If the superposition is 
>> expressed using eigenfunctions, which are mutually orthogonal -- implying 
>> no mutual interference -- how is decoherence possible, insofar as 
>> coherence, IIUC, doesn't exist using this basis? AG*
> I think you misunderstand the meaning of "coherence" when it is used off 
> an expansion in terms of a set of mutually orthogonal eigenvectors. The 
> expansion in some eigenvector basis is written as
>    |psi> = Sum_i (a_i |v_i>)
> where |v_i> are the eigenvectors, and i ranges over the dimension of the 
> Hilbert space. The expansion coefficients are the complex numbers a_i. 
> Since these are complex coefficients, they contain inherent phases. It is 
> the preservation of these phases of the expansion coefficients that is 
> meant by "maintaining coherence". So it is the coherence of the particular 
> expansion that is implied, and this has noting to do with the mutual 
> orthogonality or otherwise of the basis vectors themselves. In decoherence, 
> the phase relationships between the terms in the original expansion are 
> lost.
> Bruce 

I appreciate your reply. I was sure you could ascertain my error -- 
confusing orthogonality with interference and coherence. Let me have your 
indulgence on a related issue. 

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