ueit said:
I disagree. The superdeterministic character of the theory is only a consequence of the fact that the theory contains a (local) field that does not decreases quickly with distance (as the classical EM field does). The mechanism proposed by the theory can be verified statistically in different ways, not necessarily using EPR experiments. For example one can replace the resultant, pseudorandom field produced by all particles in the universe with a random field that has the same statistical properties (like the probability of the field to have a certain amplitude in a certain time interval). Then, one could model the dynamics of an atom or molecule in this random field and calculate the emission spectra. Because both the properties of the random field and the motion of the particles composing the atom/molecule are calculated using the proposed mechanism, a correctly predicted spectra is a proof of the theory.
You seem to forget that the particularity of a superdeterministic theory is that the essential correlations found, are due to specific correlations in the CHOICES made by the experimenters because their choices are not "free", and that if we allowed them to be truly random and independent, then the theory would NOT yield the correct results (THAT's what it means to be superdeterministic).
Let us take a toy example. Let us imagine that I have a switch and a light bulb. When I simply OBSERVE the switch states and the light bulb states, I see a perfect correlation: when the switch is "ON", the light is "ON", and when the switch is "OFF", the light is "OFF". This is an observed correlation, but it doesn't teach me much about any mechanism behind it: are the switch and the light bulb both activated by a common mechanism ? Is the switch causing the light bulb to go on and off ? Is the light bulb causing the switch to go on or off ? Is this just a weird correlation in nature ? Difficult to say.
However, in "normal" deterministic theories, we take it that we can CHOOSE the state of the switch. I can actively, and "freely" pick the state of the switch, and THEN I look for correlations. If I flip the switch to on, I see that the light goes on, and if I flip the switch to off, I see that the light goes off. Assuming that I did this "freely", then I can now CONCLUDE that the correlation between light bulb and switch is a CAUSAL relation: the switch must cause something that lights the light bulb. On the other hand, if with an external battery, I light the bulb, I don't see the switch flipping over. So this is a one-way causal relationship: the switch CAUSES the light bulb to go on.
It could have been different: there could have been a computer that activated electromagnetically a switch, and that also activated through a different circuit, the light bulb. It would have been a 'common cause' scenario, and me flipping the switch "freely" wouldn't make the light bulb light up.
However, a superdeterministic theory would say the following: even if I "freely" flip the switch, and I see a perfect correlation with the light go on or off, this is NO PROOF for a causal relationship between the switch and the light bulb, because there might have been a COMMON CAUSE which made me exactly flip the switch at the right times when that common cause also made the light go on and off. So imagine that the light bulb going on and off is actually caused by, I don't know, some radioactive decay or so, that there is strictly no relationship with the switch, but nevertheless, whatever causes the radioactive decay to happen also happens to influence my brain and makes me flip the switch at exactly the same moment when the light goes on or off. THAT is what a superdeterministic theory tells us: that the correlation I observe between a "freely made" choice and an observed phenomenon does NOT imply a causal relationship from the thing that was determined by the "choice" (flipping the switch) and the observed phenomenon (the light goes on or off), but rather, that my "choice" was exactly in tune with whatever caused really the phenomenon, because it had a common origin.
If I have a superdeterministic theory, I have to work out exactly HOW I am going to make these choices, and demonstrate that my choices are going to be exactly such that a correlation is going to appear AS IF there was a direct causal link. If I don't do that, but I make a "shortcut" to introducing GENUINLY RANDOM choices, then my superdeterministic theory would this time NOT show any correlation - because there IS no causal link between the flipping of the switch and the bulb - there is only a correlation between the choice I made and the light bulb which I did now away with, and hence be in contradiction with the observed correlations.
Now, saying that you COULD eventually do a small-scale calculation with not a brain that makes the "decisions", but a much smaller system - a 3-particle system or something, that might show some hope of being tractable with a computer simulation, doesn't prove ANYTHING. After all, it is very well possible that there IS a small scale correlation with a *particular* simple setup. Imagine for instance that we use a simple periodic oscillator to flip the switch, and that we use an identical oscillator to power the light bulb. Then we WILL find of course a "superdeterministic" correlation without there being a causal link, if the frequencies and phases of both oscillators are identical. But that's simply because the "free choice" made by an oscillator is a simplistic "free choice". It doesn't demonstrate AT ALL that if we use *no matter what mechanism to do the free choosing* we will ALWAYS obtain the same correlation, which is exactly what a superdeterministic theory needs to demonstrate before being able to explain those correlations in a non-causal matter.