by Joy Christian » Fri May 09, 2014 8:05 am
I am reproducing here what Michel Fodje wrote elsewhere, because (1) his observations are relevant for all realizable physical experiments, and (2) they beautifully spell out elementary facts of logic, arithmetic, and physics that the vast majority of the Bell-believers among us seem to be incapable of understanding:
minkwe wrote:1 - If you measure (A,B), (A',B), (A,B'), (A,B') on a different particle pair, the A in (A,B) can be different from the A in (A,B') without any mistake or cheating.
2 - If you measure the same particle at a (A,B), and exactly the same particle again at (A,B'), then A in (A,B) can be different from the A in (A,B') without any mistake or cheating.
3 - The only way to measure (A,B), (A',B), (A,B'), (A,B') on the same particle, and make sure the A in (A,B) and the A in (A,B') are the same (and each outcome is the same in each pair), is to measure the same particle pair, simultaneously at (A, A', B, B'), an impossibility. Therefore a genuine experiment testing S <= 2 is impossible.
4 - If the probability of obtaining H for a coin is 0.75, the probability of the counter-factual H outcome for the same coin cannot be 0.75 too. It must be 0.25.
5 - No 4xN spreadsheet can violate the S <= 2. It doesn't matter where you get your data to put in the spreadsheet, from LHV/QM/non-local model/non-real model/statistical error etc.
6 - The correct inequality for 4 different 2XN spreadsheets is S<= 4, it doesn't matter where you get your data to put in the spreadsheet, from LHV/QM/non-local model/non-real model/statistical error etc. 4 *different* 2xN spreadsheets can easily violate S <= 2, because that inequality does not apply to such data. It is a mathematical error to even compare them.
7 - It is utter nonsense to compare an inequality derived from a 4xN spreadsheet, with data in the form of 4 different 2xN spreadsheets, even if your 4 *different* 2xN spreadsheets are randomly sampled from a single 4xN spreadsheet. What determines the upper bound is the degrees of freedom in the data, not the degrees of freedom in the original spreadsheet you randomly sampled from.
8 - These inequalities have nothing to do with physics, they are mathematical tautologies about real numbers and degrees of freedom. Please read the Rosinger paper carefully. Their violation points to a mathematical error in their application. Nothing can violate them.
9 - No EPRB experiment will ever be done which produces a 4xN spreadsheet, as it must if it purports to *test* the S <= 2 relationship. As long as they keep producing 4 *different* 2XN spreadsheets, the appropriate inequality is S <= 4, and it will never be violated.
I am reproducing here what Michel Fodje wrote elsewhere, because (1) his observations are relevant for all realizable physical experiments, and (2) they beautifully spell out elementary facts of logic, arithmetic, and physics that the vast majority of the Bell-believers among us seem to be incapable of understanding:
[quote="minkwe"]
1 - If you measure (A,B), (A',B), (A,B'), (A,B') on a different particle pair, the A in (A,B) can be different from the A in (A,B') without any mistake or cheating.
2 - If you measure the same particle at a (A,B), and exactly the same particle again at (A,B'), then A in (A,B) can be different from the A in (A,B') without any mistake or cheating.
3 - The only way to measure (A,B), (A',B), (A,B'), (A,B') on the same particle, and make sure the A in (A,B) and the A in (A,B') are the same (and each outcome is the same in each pair), is to measure the same particle pair, simultaneously at (A, A', B, B'), an impossibility. Therefore a genuine experiment testing S <= 2 is impossible.
4 - If the probability of obtaining H for a coin is 0.75, the probability of the counter-factual H outcome for the same coin cannot be 0.75 too. It must be 0.25.
5 - No 4xN spreadsheet can violate the S <= 2. It doesn't matter where you get your data to put in the spreadsheet, from LHV/QM/non-local model/non-real model/statistical error etc.
6 - The correct inequality for 4 different 2XN spreadsheets is S<= 4, it doesn't matter where you get your data to put in the spreadsheet, from LHV/QM/non-local model/non-real model/statistical error etc. 4 *different* 2xN spreadsheets can easily violate S <= 2, because that inequality does not apply to such data. It is a mathematical error to even compare them.
7 - It is utter nonsense to compare an inequality derived from a 4xN spreadsheet, with data in the form of 4 different 2xN spreadsheets, even if your 4 *different* 2xN spreadsheets are randomly sampled from a single 4xN spreadsheet. What determines the upper bound is the degrees of freedom in the data, not the degrees of freedom in the original spreadsheet you randomly sampled from.
8 - These inequalities have nothing to do with physics, they are mathematical tautologies about real numbers and degrees of freedom. Please read the Rosinger paper carefully. Their violation points to a mathematical error in their application. Nothing can violate them.
9 - No EPRB experiment will ever be done which produces a 4xN spreadsheet, as it must if it purports to *test* the S <= 2 relationship. As long as they keep producing 4 *different* 2XN spreadsheets, the appropriate inequality is S <= 4, and it will never be violated.[/quote]