FrediFizzx wrote:gill1109 wrote:FrediFizzx wrote:Nope. You are doing the wrong process. That doesn't prove non-locality.
The simple proof of non-locality, for me, is that you violated Bell’s inequality (originally proven by Boole in the 1850’s)!
I would also prove it by random testing if only you (Fred) would give us a version which was written in R or Python, and allowed the user to specify the settings and set the seed. Then I would quickly find a sequence of inputs for Alice and Bob such that if I change Bob’s n’th input then Alice’s n’th output changes, even though the seed is the same and all the other inputs are the same; the first n - 1 outputs did not change. Alice’s n’th input did not change. But changing Bob’s n’th input changed Alice’s n’th output.
This would prove that the functions A and B which Joy wants Fred to supply simply do not exist.
Such an n can be found as follows. Find a seed and use some large N and random binary inputs so we get a big violation of CHSH. Now simply use the same seed and the same inputs, running the program just for the first n trials, and testing what happens if Alice’s or Bob’s last input is changed. This will certainly find an n which disproves locality. The search can be done automatically.
CHSH = 2.78024! 
Ok, I can try that but not fully understanding it. How do I change A or B's last input?
.
Write separate programs which produce two long lists of inputs for a CHSH type experiment.
Rewrite your program so that instead of generating settings itself, it simply reads settings from an external files; and reads a random seed from an external file.
Now, generate two long lists of inputs. Binary; completely at random. [I will check that statistically they do indeed look like independent fair coin tosses].
Give them to your program, together with a seed.
It comes out with a CHSH of about 2.8; N is very big.
Now give it just the first n = 30 (say) settings of each list of inputs, and the same seed as before
Change Alice's last input and redo
Instead, change Bob's last input and redo
Now you have *three* versions of the 30th pair of outputs
The original. And two versions after one setting was changed.
Did Alice's output change when her input was the same but Bob's was changed?
Did Bob's output change when his input was the same but Alice's was changed?
If the answer is "no" then increase n by 1 and repeat
[always same seed ....]
I guarantee you that you will find an n such that Alice's output depends on Bob's input or vice versa even though everything else up till now was the same (same seed, same inputs, same outputs... as in the original big N experiment)
[if my prediction fails I will publicly eat my hat and give you a lot of money. The hat will be a straw hat which I'll liquidize and cook in a nice wild mushroom bouillon]