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Higher-Dimensional Solitons Stabilized by Opposite Charge

Binder, Bernd (2001) Higher-Dimensional Solitons Stabilized by Opposite Charge. [Preprint]


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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).

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Item Type: Preprint
Binder, Bernd
Keywords: auto-parametric, charge, resonance, whispering, autonomous, gallery, pulson, modes, nonabelian, nonlinear, non-pertubative, supratransmission , supraconductivity, breather, nonpertubative, pseudosphere, phase, berry, Gordon, sine-Gordon, Baecklund, Thirring, Skyrme, Rayleigh, fine structure, iteration, iterative
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Mathematics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Bernd Binder
Date Deposited: 01 Dec 2002
Last Modified: 07 Oct 2010 15:11
Item ID: 918

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