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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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      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
      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 11:11
      Item ID: 918
      URI: http://philsci-archive.pitt.edu/id/eprint/918

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