Binder, Bernd (2001) Higher-Dimensional Solitons Stabilized by Opposite Charge. [Preprint]
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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).
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| Item Type: | Preprint | ||||||
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| 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 |
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| Depositing User: | Bernd Binder | ||||||
| Date Deposited: | 01 Dec 2002 | ||||||
| Last Modified: | 07 Oct 2010 15:11 | ||||||
| Item ID: | 918 | ||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics |
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| Date: | November 2001 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/918 |
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