DIdn't it arise in the context of EPR and entanglement issues? I'm not sure 
of the history, but I think it's well represented by the entanglement 
singlet state, namely, 

[image: {\displaystyle {\frac {1}{\sqrt {2}}}\left(\left|\uparrow 
\downarrow \right\rangle -\left|\downarrow \uparrow \right\rangle \right).}]

IIUC, Einstein asserted that the entangled system must be in either of the 
two states in the superposition prior to measurement. But Brent says that 
every superposition is an eigenfunction in some basis, which, if true, 
would seem to solve, or resolve Einstein's problem with QM; namely, that it 
is NON REALISTIC. Consequently, if I have posed the issue correctly, the 
question is this; what, precisely, is the basis in which the above singlet 
state is an eigenfunction? TIA.

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