AndreiB
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Either my explanation is true or it is not. I think the word "excuse" here is used to avoid accepting that my explanation is perfectly valid.Sunil said:An excuse for not allowing the use of your independence assumption in Bell tests.
1. The model I proposed is in term of classical EM. The Big-Bang, inflation period and all that cannot be described in terms of this model. So, let's stay in a regime where this model makes sense.Sunil said:But let's look at the next excuse which you have to present for the experiment where the direction of the detectors are defined by starlight arriving shortly before the measurement from the other side than the particle measured at that detector. There was a real experiment with this. Instead of starlight, I would prefer CMBR radiation coming from this other side. So, the event which has created these photons has not been in the past light cone of the preparation of the pair.
2. I agree that if you can prove that "the event which has created these photons has not been in the past light cone of the preparation of the pair" SD is dead. The question is, can you?
As far as I know there is no theory at this time that is capable of describing the Big-Bang. So all this is pure speculation.Sunil said:BTW, if there is a singularity in the past - and according to GR without inflation, as well as to GR with inflation caused by a change of the vacuum state, there has to be a singularity - then there is a well-define and finite horizon of events which have a common event in the past with us. This horizon can be easily computed in GR, and in the BB without inflation it was quite small, so that the visible inhomogeneities visible in the CMBR where greater than this horizon size.
Can you please specify the conditions at the Big-Bang? Was the Big-Bang a deterministic process or not? if it is described by GR it should be, right? Did correlations exist in the pre-Big-Bang state? What evidence we have for that?Sunil said:This problem was named "horizon problem". Inflation solves it FAPP by making it greater than what we see in the CMBR. But it does not change the fact that those events we see in the CMBR coming from opposite sides are causally influenced by causes farther away in those directions, and all we have to do is to go so much far away searching for those causes that we will end up with causes in the opposite directions which have nothing in their common past. So, each of the two causes can influence (if Einstein causality holds) only one of the detectors, and not the preparation procedure.
I am not going to accept a bunch of assumptions with no evidence behind them. If you present a coherent theory of the Big-Bang I'll look into it and see if an "excuse" is to be found.Sunil said:As before, I'm sure you will find an excuse.
I don't think so. "Normal science" uses a certain model. The conclusions only apply if the model is apt for the experiment under investigation. For example, the kinetic theory of gases apply for an ideal gas. It works when the system is well approximated by such a model. If your gas is far from ideal you don't stubbornly insist on this model, you change it. In the case of Bell's theorem the model is Newtonian mechanics with contact forces only. Such a model is inappropriate for describing EM phenomena, even classical EM phenomena like induction. So, it is no wonder that the model fails to reproduce QM.Sunil said:This is what normal science, with the rejection of superdeterminism, is assuming.
"Sufficiently simple" is a loaded term. And i didn't claim that the statistics does not remain stable in this case, I just don't know. If you are right and the function behaves well, great. We will be able to compute the classical EM prediction for a Bell test. When such computation is done we will see if it turns out right or wrong.Sunil said:The statistics remain stable, namely the interesting variables which do not have sufficiently simple causal explanations for their correlations will remain independent.
I don't get the your point about PI. Clearly, the digits of PI are not independent since they are determined by a quite simple algorithm. Two machines calculating PI would be perfectly correlated.Sunil said:But for various pseudorandom number generators such independence proofs are known. I even remember to have seen the proof for the sequence of digits of ##pi##.
IF Bell correlations are caused by long-range interactions between the experimental parts one should be able to prepare macroscopic entangled states. I am not aware of any attempt of doing so.Sunil said:Ah, I see, this is what you have meant with "above". Nice trick, given that (I think) you know that it is quite difficult to prepare entanglement states for macroscopic bodies in a stable way.
Sunil said:So your claim that superdeterministic theories may be falsifiable is bogus. That you think about such potentiality does not make that theory superdeterministic.
Clearly, all theories with long-range interactions are falsifiable. Classical EM, GR, fluid mechanics have been tested a lot. I have laid out my argument why such theories could be superdeterministic. We will know that when the function is computed. Until then you cannot rule them out.
But there is a causal justification. There is a long-range interaction involved that determines the hidden variable. "Normal" science does not assume independence when this is the case.Sunil said:You get what usual science assumes - independence if there is no causal justification for a dependence.
As far as i can say, the independence assumption was falsified by Bell tests + EPR argument. Locality can only be maintained if the independence assumption fails. And no violation of locality was ever witnessed in "normal science", right?Sunil said:This independence assumption (the zero hypothesis) is clearly empirically falsifiable, and if it is falsified, then usual science starts to look for causal explanations. And usually finds it. ("Usually" because this requires time, so that one has to expect that there will always cases where the search was not yet successful.)
And this spontaneously happens when the non-interaction assumption (approximately true for a gas far from its boiling point) fails when the gas is cooled. Exactly my point.Sunil said:This is as probable as that all the atoms of a gas concentrate themselves in one small part of the bottle.
There was a time when no suitable model existed and no such approximations were possible. We could very well be at this stage with entanglement.Sunil said:The cooperation for planetary systems is already predicted by very rough approximations...
There is nothing wrong with my logic. If you can't prove a violation (and you can't) you cannot just assume one.Sunil said:False logic. If I don't know the explanation, there may be one. But it is as well possible that there is none, thus, a violation of the common cause principle. Your "so there is no" obviously does not follow.
I agree. This is why I find SD a natural choice. It explains the correlations in terms of past causes. The other possible explanation is non-locality, a behavior which was never witnessed.Sunil said:We have the large experience of humankind with the successful application of the common cause principle. Essentially everybody identifies correlations in everyday life and then tries to find explanations. This fails if the correlations are not real, but statistical errors. But many times causal explanations will be found. If it would be violated in reality, it would have been detected long ago.
I think you forget the really important point that without SD you have non-locality. Your arguments based on what "normal science" assumes or not do not work for this scenario, since, when you factor in the strong evidence for locality, the initial probability for a violation of the statistical independence is increased many orders of magnitude.