Hidden Variable Simulation results for CHSH inequality

Foundations of physics and/or philosophy of physics, and in particular, posts on unresolved or controversial issues

Hidden Variable Simulation results for CHSH inequality

Postby FrediFizzx » Thu Jan 14, 2021 2:53 pm

Typical results for 5000 trials with no events dropped are,

CHSH = 2.71583
CHSH = 2.75854
CHSH = 2.75946
CHSH = 2.68916
CHSH = 2.82283

Here are the a and b random selections,

a = RandomChoice[{0, 90}];
b = RandomChoice[{45, 135}];
e = RandomReal[{0, 360}]; (Random singlet vector angle x-y plane)

Here are two sets of A and B station data that one can run their own CHSH analysis for if they wish,

EPRsims/CA5K.csv (A station data)
EPRsims/CB5K.csv (B station data run at a completely different time)

EPRsims/CA5K-2.csv
EPRsims/CB5K-2.csv

The first column is the random angle selection, the second column is the A or B output, and the third column is the trial number for matching A and B.
.
FrediFizzx
Independent Physics Researcher
 
Posts: 2905
Joined: Tue Mar 19, 2013 7:12 pm
Location: N. California, USA

Re: Hidden Variable Simulation results for CHSH inequality

Postby FrediFizzx » Fri Jan 15, 2021 6:08 am

I guess I should have posted the results for those two sets of simulation data for comparison. So, here they are,

EPRsims/CA5K.csv (A station data)
EPRsims/CB5K.csv (B station data run at a completely different time)
CHSH = 2.75557

EPRsims/CA5K-2.csv
EPRsims/CB5K-2.csv
CHSH = 2.82283

This simulation even works down to the Delft level of events (trials).
CHSH = 2.65351
Total trials = 245
.
FrediFizzx
Independent Physics Researcher
 
Posts: 2905
Joined: Tue Mar 19, 2013 7:12 pm
Location: N. California, USA

Re: Hidden Variable Simulation results for CHSH inequality

Postby FrediFizzx » Sat Jan 16, 2021 9:15 am

So, here is a PDF of the Mathematica program used for analysing the data files above,

EPRsims/importchsh.pdf

And for those that have Mathematica the notebook file,

EPRsims/importchsh.nb

And here is the raw data from one of the files,

Code: Select all
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90,-1,2
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90,1,4910
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90,1,4917
90,-1,4918
90,1,4919
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90,-1,4921
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90,1,4933
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90,1,4953
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90,-1,4955
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0,1,4957
0,-1,4958
0,-1,4959
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90,1,4961
90,-1,4962
90,-1,4963
0,1,4964
0,1,4965
90,-1,4966
90,-1,4967
0,-1,4968
90,1,4969
90,-1,4970
0,-1,4971
0,-1,4972
90,1,4973
90,-1,4974
0,-1,4975
0,-1,4976
90,1,4977
90,-1,4978
0,-1,4979
0,1,4980
0,1,4981
0,1,4982
90,1,4983
90,-1,4984
0,1,4985
90,1,4986
90,1,4987
0,-1,4988
90,-1,4989
0,-1,4990
0,-1,4991
0,1,4992
90,1,4993
0,-1,4994
0,1,4995
90,1,4996
90,-1,4997
0,-1,4998
0,-1,4999
0,1,5000


You can't tell from looking at the results that anything might be out of the ordinary. All the angles are 0 and 90. All the outcomes are -1 or +1. And we have 5000 events for 5000 trials so nothing is dropped. This is probably just like the experimenter sees but simplified a bit since they might have timing data also.
.
FrediFizzx
Independent Physics Researcher
 
Posts: 2905
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Re: Hidden Variable Simulation results for CHSH inequality

Postby gill1109 » Sat Jan 16, 2021 9:31 pm

Fred, Can you post the part of the program which creates the data? (Or link to the post on another thread) which has it?
gill1109
Mathematical Statistician
 
Posts: 2812
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Location: Leiden

Re: Hidden Variable Simulation results for CHSH inequality

Postby FrediFizzx » Fri Jan 22, 2021 3:54 pm

gill1109 wrote:Fred, Can you post the part of the program which creates the data? (Or link to the post on another thread) which has it?

No. I've lost interest in this project. But I lied. You can tell from the results something is out of the ordinary. What is it?
.
FrediFizzx
Independent Physics Researcher
 
Posts: 2905
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Re: Hidden Variable Simulation results for CHSH inequality

Postby FrediFizzx » Mon Jan 25, 2021 7:23 pm

OK, fixed it so got some interest back for this project. Now, you can't tell from the results that anything is out of the ordinary. Here is the new files.

EPRsims/CA5K-5.csv
EPRsims/CB5K-5.csv
CHSH = 2.65589

Also we have the list for the singlet vector value and the hidden variable value that is given to the A and B independent stations.

EPRsims/EL5K-5.csv

The first column is the singlet vector angle in degrees, the second column is the HV value, and the third column is the trial event number.
.
FrediFizzx
Independent Physics Researcher
 
Posts: 2905
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Re: Hidden Variable Simulation results for CHSH inequality

Postby gill1109 » Tue Jan 26, 2021 1:22 am

FrediFizzx wrote:
gill1109 wrote:Fred, Can you post the part of the program which creates the data? (Or link to the post on another thread) which has it?

No. I've lost interest in this project.

Now that your interest has returned, how about showing us the physics? How is the data created?
gill1109
Mathematical Statistician
 
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