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has been cited by the following article:

• TITLE: An Exact Mathematical Picture of Quantum Spacetime

  AUTHORS: Mohamed S. El Naschie

  KEYWORDS: E-Infinity, Quantum Spacetime, Noncommutative Geometry, Fractals, Transfinite Set Theory, Von Neumann Continuous Geometry, Cantor Sets, Fusion Algebra, Zero Point Energy, Vacuum Fluctuation, Quantum Field Theory, Casimir Effect, Dark Energy

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.9, July 13, 2015

  ABSTRACT: Using von Neumann’s continuous geometry in conjunction with A. Connes’ noncommutative geometry an exact mathematical-topological picture of quantum spacetime is developed ab initio. The final result coincides with the general conclusion of E-infinity theory and previous results obtained in the realm of high energy physics. In particular it is concluded that the quantum particle and the quantum wave spans quantum spacetime and conversely quantum particles and waves mutates from quantum spacetime.