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Building upon the pioneering work of J. Bell  and an incredible result due to L. Hardy  it was shown that the probability of quantum entanglement of two particles is a maximum of 9.0169945 percent  . This happens to be exactly the golden mean to the power of five (ϕ 5 )      . Although it has gone largely unnoticed for a long time, this result was essentially established independently in a much wider context by the present author almost two decades ago    doi:10.4236/jqis.2011.12007 fatcat:kaytihl6hfbz7pkzl4oxon3j2u