Author(s)

Mohamed S. El Naschie

Dept. of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt.

Quantum particles are assumed to have a path constituting a random fluctuation super imposed on a classical one resulting in a golden mean spiral propagating in spacetime. Consequently, the dimension of the path of the quantum particle is given by one plus the random Cantor set Zitterbewegung, i.e. 1+Ø where Ø is the golden mean Hausdorff dimension of a random Cantor set. Proceeding in this way, we can derive the basic topological invariants of the corresponding spacetime which turned out to be that of E-infinity spacetime 4+س as well as a fractal Witten’s M-theory 11+Ø⁵. Setting س and Ø⁵ equal zero, we retrieve Einstein’s spacetime and Witten’s M-theory spacetime respectively where س is the latent Casimir topological pressure of spacetime and Ø⁵ is Hardy’s quantum entanglement of the same.

Zitterbewegung, E-Infinity Theory, Quantum Physics, Einstein Spacetime, Fractal Spacetime, Witten Spacetime, ‘tHooft Cellular Automaton

Naschie, M. (2017) Spacetime from Zitterbewegung. Open Journal of Modelling and Simulation, 5, 169-173. doi: 10.4236/ojmsi.2017.53012.