The folowing table shows the results of all the angles between 0 and 180 when the polarizer is in vertical direction (has an angle of 0 degrees)
0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  170 
+  +  +  +  +                    +  +  +  + 
0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  170 
+  +  +  +  +  +  +  +  +                   
0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  170 
          +  +  +  +  +  +  +  +  +         
0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  170 
+  +  +  +  +  +                    +  +  + 
0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  170 
+  +  +  +  +  +  +                    +  + 
31RR 12GR 23GR 13RR 33RR 12RR 22RR 32RG 13GG 22GG 23GR 33RR 13GG 31RG 31RR 33RR 32RG 32RR 31RG 33GG 11RR 12GR 33GG 21GR 21RR 22RR 31RG 33GG 11GG 23RR 32GR 12GR 12RG 11GG 31RG 21GR 12RG 13GR 22GG 12RG 33RR 31GR 21RR 13GR 23GR
11  12  13  21  22  23  31  32  33  sum  
RR  1  1  1  2  2  1  2  1  4  15  
GG  2  2  2  3  9  
RG  3  4  2  0  9  
GR  3  2  2  3  1  1  12 
RRR RRG RGR RGG GRR GRG GGR GGG 11 RR RR RR RR GG GG GG GG 12 RR RR RG RG GR GR GG GG 13 RR RG RR RG GR GG GR GG 21 RR RR GR GR RG RG GG GG 22 RR RR GG GG RR RR GG GG 23 RR RG GR GG RR RG GR GG 31 RR GR RR GR RG GG RG GG 32 RR GR RG GG RR GR RG GG 33 RR GG RR GG RR GG RR GGThe first combination RR shows the result of the variety RRR when each switch of both boxes is a "1".
11  12  13  21  22  23  31  32  33  sum  
RR  4  2  2  2  4  2  2  2  4  24 
GG  4  2  2  2  4  2  2  2  4  24 
RG  2  2  2  2  2  2  12  
GR  2  2  2  2  2  2  12 
The following table shows the results of 100 simulations using the same logic.
1  0  2  1  2  8  9  8  12  10  13  11  6  3  4  6  1  3 
21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36  37  38 
The point is that when you observe the results of one experiment with 45 runs you cannot claim that the Bell's inequality is neither true or violated, nor that quatum physics is Right or Wrong.


One possible outcome of this experiment could have been that in all cases, independent of the angle between the polarizers, always you get the result of line 5. That means in all cases the outcome is completely random or unpredictable. In fact that is the most probable outcome in a general experiment which generates two photons.
The results of the table in fact show something else: The two photons are polarized in the same direction. This is also the only thing that the test learns us. Based on this model the observations are simulated. Using these simulated observations the correlation factor is calculated for each angle. The results show a lineair correlation relation.
The document also shows an other possible correlation: that of a cosinus function.
That is inprinciple also possible.
In fact this is the biggest problem with the article "Bells theorem": The main attention is on mathematics and not on the results of actual experiments. They are missing.
When you ask 10 people to set up a different colour of hat and they all select the same colour you are suspicious. The next time the colour is different, but again all the same, and you become even more suspicious. When each time you repeat this experiment and they all have the same but a different colour, then you think by yourself: this is impossible there must be some form of communication between the 10 people.
In the "Two channel Bell test" the explanation is in the source. The two photons are always polarized in the same direction (in this case). The direction of both are random, but if you know one, you also know the other. There is no communication involved between the detectors.
There are no hidden variables involved.
Suppose that the results of the tests are different. That means that for the angle of 15 degrees different results of the "++", "+" , "" and "+" values are observed.
Such actual experimental observed results are important. The cause between the results is of physical origin. The correlation factor is of minor importance, that is mathematics.
The explanation of the results is in the test setup, most probably is in the reaction which creates the particles.
The "Graphical Correlation" shows the relation between two correlation function. The blue one shows the correlation function based on simulated results. The pink line shows the correlation function based on the quantum theory. The results of the pink line are also based on actual experimental results. The biggest problem is that these results are not available. As a result it is very difficult to actual verify this.
The blue line is also supposed to demonstrate the "Bell inequality" theorem. The calculation to calculate the blue line is rather straight forward which more or less shows that there is no inequality involved. This raises doubts about the "Bell inequality" itself.
When you study quatum physics type or experiment they can be clasified (among others) in two types:
one with involve one particle and one with involve two particles.
The problem is that Bell's theorem can not be used as a yardstick to decide what is right or wrong. Bell's theorem describes certain experiments. Quantum mechanics describes other experiments in which entanglement is involved and generally speaking these experiments (reactions) cannot be compared with each other.
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