Author(s)

Mohamed S. El Naschie^*

Department of Physics, University of Alexandria, Alexandria, Egypt.

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.

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

Naschie, M. (2015) An Exact Mathematical Picture of Quantum Spacetime. Advances in Pure Mathematics, 5, 560-570. doi: 10.4236/apm.2015.59052.