FrediFizzx wrote:harry wrote:FrediFizzx wrote:What? I guess you don't follow their explanations in the paper? Well, let's go through the paper. Where in their published paper do you first get lost?
Right from the start:
harry wrote:[..] I'm very busy and not familiar with much of what the authors discuss. But as long as nobody manages to actually translate their math in a working local realistic computer program, I'm not convinced either way - and no doubt it's the same for most people!

Well, if you don't understand any of that paper, I don't think I will be able to do anything here to help you have a better understanding. Sorry, I guess I was suffering from a wrong impression that you at least had some basic understanding of that paper.
Since Fred does understand the Chowdhury et al paper, and believes that it disproves Bell, then he can translate their mathematical-physical model into a suite of computer programmes which wins my challenge to Accardi
http://arxiv.org/abs/quant-ph/0110137.
I'm willing to bet 5000 Euro it can't be done: will you take on this bet, Fred? We should fix a time-frame, for instance, one year. In other words I win 5000 Euro from you not only if you write a computer programme but it does not succeed, but also if you fail to deliver anything.
Please look at the middle of page 13, middle of section 7, of
http://arxiv.org/pdf/quant-ph/0110137v4.pdf:
We can now specify precisely a protocol for the computer experiment, which must settle the bet between Accardi and the author. In order that the supermartingale structure is present, it suffices that the settings and the outcomes are generated sequentially: Gill provides settings for trial 1, then Accardi provides outcomes for trial 1, then Gill provides settings for trial 2, Accardi outcomes for trial 2, and so on. Between subsequent trials, computers X, O and Y may communicate with one another in any way they like. Within each trial, the communications are one way only, from O to X and from O to Y; and from A to X and from B to Y. A very rough calculation from (13) shows that if both accept error probabilities of one in a million, Accardi and Gill could agree to a sample size of sixty five thousand, and a critical value +n/32, half way between the Bell expectation bound 0 and the Aspect experiment expectation +n/16 [this is based on the setting angles of Bell (1964)]. I am supposing here that Accardi plans not just to violate the Bell inequality, but to simulate the Aspect experiment with the filter settings as specified by me. I am also supposing that he is happy to rely on Bernstein’s inequality, in the opposite direction. Only twenty five thousand trials are needed when Accardi
aims for the greatest violation allowed under quantum mechanics [ie use the setting angles of CHSH], namely an expectation value of approximately +n/10 and critical value +n/20.
Here, "O" stands for the source, and "X" and "Y" stand for the two measurement stations. "A" and "B" stand for the sources of the measurement settings. Luigi Accardi / Fred Diether control the computers O, X and Y; I control A and B. The protocol is: the source O sends information to both measurement stations X and Y. I provide a setting (more precisely: my computers A and B do this) for each measurement station. The two measurement stations generate outcomes. This is repeated n times. The bet is decided by a CHSH-like quantity, just like in my bets with Christian: LHV says, when n (N) has gone to infinity, "S <= 2", QM says "S = 2 sqrt 2" or approximately 2.8, so we decide the bet for finite n by comparing the observed S to the half-way mark, 2.4. Bigger than 2.4, Luigi/Fred has won; smaller than 2.4, I have won. The sample size n = 25 000 is chosen so that each of us runs a risk of less than one in a million of losing the bet even though we are actually in the right! Of course, we can't both be right ...
You can read my paper to see exactly what variant of the famous CHSH "S" I am using. My critical quantity is essentially equal to n times (S - 2)/4 where S is the usual CHSH S. I say "essentially", because in the definitions of the four correlations I replaced the four numerators, the numbers of trials with each pair of settings, by their expectation values N/4 (settings are chosen independently and completely at random, as usual). This makes the statistical analysis a whole lot more simple and will not make any noticeable difference to the experimental results when N is as large as I propose taking it (25 000).
Luigi dropped out of the bet after he realized that he was not allowed to make use of the detection loophole.
If this experiment would be succesful then this same network of classical computers would be an evidently classical physical system which violates Bell inequalities without any superluminal communication, and without any loophole tricks. The first person who writes those computer programs not only wins 5000 Euro from me, *and* my public apologies to Joy Christian, Bryan Sanctuary, Han Geurdes, Luigi Accardi, and Karl Hess, but they *also* become world famous and win the Nobel prize and revolutionize physics ... and the Bell maffia cannot stop them, because they only have to post their programs on internet and spread the word through internet forums like this one!
Why didn't somebody do it already? They've been trying hard for 50 years and still no success ...