%0 Journal Article
%T Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry
%A Mohamed S. El Naschie
%J Journal of Quantum Information Science
%P 50-53
%@ 2162-576X
%D 2011
%I Scientific Research Publishing
%R 10.4236/jqis.2011.12007
%X Building upon the pioneering work of J. Bell [1] and an incredible result due to L. Hardy [2] it was shown that the probability of quantum entanglement of two particles is a maximum of 9.0169945 percent [2]. This happens to be exactly the golden mean   to the power of five (?5) [3-7]. 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 [3-6]. The present work gives two fundamentally different derivations of Hardy¡¯s beautiful result leading to precisely the same general conclusion, namely that by virtue of the zero measure of the underlying Cantorian-fractal spacetime geometry the notion of spatial separability in quantum physics is devoid of any meaning [7]. The first derivation is purely logical and uses a probability theory which combines the discrete with the continuum. The second derivation is purely geometrical and topological using the fundamental equations of a theory developed by the author and his collaborators frequently referred to as E-infinity or Cantorian spacetime theory [3-7].
%K Hardy¡¯s Quantum Entanglement
%K Golden mean
%K Cantor sets
%K Fractal Spacetime
%K E-Infinity Theory
%K Quantum Mechanics
%K J. S. Bell
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=7623