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.