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El Naschie, M.S., Olsen, S., He, J.-H., Nada, S., Marek-Crnjac, L. and Helal, A. (2012) On the Need for Fractal Logic in High Energy Quantum Physics. International Journal of Modern Nonlinear Theory & Applications, 2, 84-92.
http://dx.doi.org/10.4236/ijmnta.2012.13012

has been cited by the following article:

• TITLE: On a New Elementary Particle from the Disintegration of the Symplectic 't Hooft-Veltman-Wilson Fractal Spacetime

  AUTHORS: Mohamed S. El Naschie

  KEYWORDS: A New Dimensional Regularization Particle, 't Hooft Fractal Spacetime, Hardy Quantum Entanglement, E-Infinity Cantorian Spacetime, Disintegration of the Vacuum

  JOURNAL NAME: World Journal of Nuclear Science and Technology, Vol.4 No.4, October 16, 2014

  ABSTRACT: 't Hooft-Veltman Wilson dimensional regularization depends crucially upon Borel summability which entails strong links to the modern mathematical theory of transfinite sets and consequently to the fractal-Cantorian spacetime proposal of Ord-Nottale-El Naschie. Starting from the above, we interpret the main step of the mathematical analysis in terms of elementary particles interaction. Thus 't Hooft-Veltman “perturbation” parameter which measures the deviation of the regulated space from the four dimensionality of spacetime is interpreted as an elementary particle with a topological mass charge equal to 0.18033989, i.e. double the magnitude of Hardy’s quantum entanglement. In turn, Hardy’s quantum entanglement which may be interpreted geometrically as a consequence of the zero set embedded in an empty set could also be interpreted as an exchange of pseudo elementary particles with a topological mass charge equal to Hardy’s entanglement where is the Hausdorff dimension of the zero set of the corresponding 't Hooft-Veltman spacetime.