Bernd Binder
Higher-Dimensional Solitons Stabilized by Opposite Charge
(21K, LaTeX 2e)

ABSTRACT.  In this paper it is shown how higher-dimensional solitons can be 
stabilized by a topological phase gradient, a field-induced shift 
in effective dimensionality. As a prototype, two instable 
2-dimensional radial symmetric Sine-Gordon extensions (pulsons) 
are coupled by a sink/source term such, that one becomes a stable 
1d and the other a 3d wave equation. The corresponding physical 
process is identified as a polarization that fits perfectly to 
preliminary considerations regarding the nature of electric charge 
and background of 1/137. The coupling is iterative with 
convergence limit and bifurcation at high charge. It is driven by 
the topological phase gradient or non-local Gauge potential that 
can be mapped to a local oscillator potential under PSL(2,R).