Bell's theorem - for or against Hidden Variables?

[Schmelzer]

I would say relativity has failed when tested against quantum theory.

I do not see any reason why the hidden parameters \(\lambda\) allowed by Bell would not include some "time-like correlated" or whatever correlated hidden variables. Ok, in principle one could argue that the way how the parameters a and b are chosen it not an ideal random way.

The obvious problem with introducing some time dependence is that a measurement in direction a by Alice predefines the measurement of a by Bob with certainty and independent of the time when Bob makes the measurement.