Dear All,
Richard Gill has conceded defeat, both regarding his 10,000 Euros offer for generating N vectors as well as his 5,000 Euros bet concerning my proposed experiment.
I won his offer of 10,000 Euros yesterday by producing this simulation: http://rpubs.com/jjc/16415. It generates the 2 x N vectors, e_k and -e_k, which necessitate the strong correlation unambiguously, for any two freely chosen measurement directions "a" and "b".
It is pretty clear from the incontrovertible evidence presented in this simulation that when my proposed experiment is realized it will undoubtedly produce the same strong correlation, with e_k and -e_k as spin directions observed by Alice and Bob (respectively).
I think Richard Gill is smart enough to recognize the evidence I have presented and wise enough to realize the inevitability of seeing the strong correlation in my proposed experiment. He has therefore backed-off from the bet which he cannot possibly win. It is of course wiser to retreat then to be humiliated.
With my main opponent defeated, it is now time to get on with real physics, in both theoretical and experimental direction. There is much work to be done.
Joy Christian