TITLE:
Spacetime from Zitterbewegung
AUTHORS:
Mohamed S. El Naschie
KEYWORDS:
Zitterbewegung, E-Infinity Theory, Quantum Physics, Einstein Spacetime, Fractal Spacetime, Witten Spacetime, ‘tHooft Cellular Automaton
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.5 No.3,
June
23,
2017
ABSTRACT: 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+Ø3 as well as a fractal Witten’s M-theory 11+Ø5. Setting Ø3 and Ø5 equal zero, we retrieve Einstein’s spacetime and Witten’s M-theory spacetime respectively where Ø3 is the latent Casimir topological pressure of spacetime and Ø5 is Hardy’s quantum entanglement of the same.