Saturday, 15 February 2014

New models by Richard Gill and Chantal Roth in 'R'

Richard Gill has presented some EPR simulations made in the computer language 'R'.

The last two implementations give a nice overview of which CHSH can be obtained when allowing a part of the particle pairs not to be detected.

The simulation that implements Joy Christian's model is discussed at In short this simulation also leaves out a part of the initial particle pairs, so some say it makes use of the detection loophole. Joy argues that in his model these particle states do not exist, so should not be counted anyway.

There is also a Javascript version available created by Daniel Sabsay:,
and a mathematic version written by John Reed:


  1. I am grateful to one of my former detractors, Richard Gill, for reproducing yet another simulation of my 3-sphere model for the EPR-Bohm correlation. It is good to see my local model being confirmed in so many different simulations, especially because many critics of my work had previously misinterpreted my one-page paper and claimed that my model predicts constant correlation, namely -1, for all values of the experimental parameters a and b. The recent plethora of simulations confirming my local model clearly show that the critics (which included Richard Gill, Scott Aaronson, James Weatherall, Adrian Kent, Lucien Hardy, an exquisitely qualified panellist recruited by FQXi to evaluate my work, a distinguished board member of Physical Review D, numerous referees and editors of many established journals, as well as some lesser known critics) were grossly mistaken. So by taking a U-turn Richard Gill has now done a great service to physics by reproducing some of the simulations of my analytical local model in a different programming language.

    Joy Christian

  2. Here is a link to an improved Mathematica version of Michel Fodje's simulation by John Reed.

    Here is a PDF file link for those that don't have Mathematica.

    Here is a PDF File of the graph for output of 10 million trials.

    Here is a link to Joy's proof that Michel's simulation works because of 3-sphere topology.

    Looks like Joy's parallelized 3-sphere model works as advertised and explains quantum correlations.