- #71
- 8,943
- 2,949
DrChinese said:Think about this one as well. So if the "true" match rate is 33% when the QM predicted (and observed) value is 25%, AND this is due to superdeterminism controlling the choice of Alice and Bob's measurement settings: you don't need time-varying/fast-switching as part of your test. You make no choice other than to have the angle at 120 degrees (or whatever) and leave the entire test running at that. No change. Ever. After all, the superdeterminism hypothesis is control over the measurement settings so that the "correct" (and misleading) sub-sample is picked, not some (light speed) signal from Alice to Bob. [Which is what fast-switching is intended to protect against.]
I wouldn't say that that's all that it is protecting against.
A very general hidden-variable expression for the joint probability that Alice gets result [itex]A[/itex] and Bob gets result [itex]B[/itex] given that Alice's setting is [itex]\alpha[/itex] and Bob's setting is [itex]\beta[/itex] is:
[itex]P(A, B|\alpha, \beta) = \sum_\lambda P(\lambda | \alpha, \beta) P_A(A|\alpha, \beta, \lambda) P_B(B|\alpha, \beta, \lambda)[/itex]
No superdeterminism implies that
[itex]P(\lambda | \alpha, \beta) = P(\lambda)[/itex]
Leaving it running for hours on end doesn't insure that.
No FTL signalling and no superdeterminism implies that
[itex]P_A(A|\alpha, \beta, \lambda) = P_A(A|\alpha, \lambda)[/itex]
[itex]P_B(B|\alpha, \beta, \lambda) = P_B(B|\beta, \lambda)[/itex]