Ervin Goldfain. Fractional Dynamics, Cantorian Space-time and the Gauge Hierarchy Problem
Natural Sciences / Physics / Particle physics
Submitted on: Jan 26, 2014, 08:35:32
Description: The gauge hierarchy problem refers to the large numerical disparity between the Planck scale and the scale of electroweak symmetry breaking. Explaining the hierarchy paradox has been attempted so far in quantum field models based on supersymmetry (SUSY) or higher dimensional spaceâE"time (brane theories). Despite several years of experimental search, there is currently no validation for either one of these models. We approach the hierarchy paradox using the methodology of fractal operators in four-dimensional spaceâE"time. It is found that departure from the inverse-square gravity in the high-energy regime emerges naturally from the fractional Helmholtz equation and suggests a straightforward resolution to the problem. Our work makes an explicit connection between the hierarchy problem and fractal geometry of spaceâE"time on deep ultraviolet scales.