How to talk about interpretations

[Sugdub]

On the surface that is contradictory - I think you need to expand on it..

Between any two pure states of QM a continuous transformation can always be found.

Assuming the initial pure state (1,0) corresponds to clicks on channel A of an SG filter and the final state (0,1) corresponds to clicks on channel B of the same filter, a continuous transformation of state (1,0) into state (0,1) through a continuous family of intermediate states formalised into complex vectors implies that at some point the association between intermediate states and the respective channels A and B will change. This change in the correspondence between components of the state vector and the channels enabling their manifestation as "clicks" of the detectors cannot be continuous.

 

[bhobba]

Assuming the initial pure state (1,0) corresponds to clicks on channel A of an SG filter and the final state (0,1) corresponds to clicks on channel B of the same filter, a continuous transformation of state (1,0) into state (0,1) through a continuous family of intermediate states formalised into complex vectors implies that at some point the association between intermediate states and the respective channels A and B will change. This change in the correspondence between components of the state vector and the channels enabling their manifestation as "clicks" of the detectors cannot be continuous.

That's incorrect.

A continuous transformation exists between such states, as it does between any two states.

A little linear algebra easily shows this.

Thanks
Bill

 

[Dale]

OK, this thread has gone off on a tangent.