Open Journal of Modelling and Simulation

Volume 5, Issue 3 (July 2017)

ISSN Print: 2327-4018   ISSN Online: 2327-4026

Google-based Impact Factor: 2.79  Citations  

Spacetime from Zitterbewegung

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DOI: 10.4236/ojmsi.2017.53012    13,654 Downloads   14,424 Views  Citations

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.

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

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