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Charge as the Stereographic Projection of Geometric Precession on Pseudospheres

Binder, Bernd (2002) Charge as the Stereographic Projection of Geometric Precession on Pseudospheres. [Preprint]

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Abstract

In this paper geometric phases (Berry and Aharonov-Bohm) are generalized to nonlinear topological phase fields on pseudospheres, where the coordinate vector field is parallel transported along the signal/soliton vector field with Levi--Civita connection. Projective PSL(2,R} symmetry describes the relativistic self-interacting bosonic sine-Gordon field. A Coulomb potential can be induced as the stereographic projection of a harmonic oscillator potential mapping angles or phases to distances and vice versa resulting in mutual coupling with a generalized coupling constant given by a nonlinear iteration. With single-valuedness requirement in 137-gonal symmetry it fits within a few ppb uncertainty to the Sommerfeld fine structure constant.


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Item Type: Preprint
Creators:
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Binder, Bernd
Keywords: nonlocal, nonabelian, nonlinear, discrete, non-pertubative, supratransmission , supraconductivity, transparency, breather, nonabelian, nonlocal, nonpertubative, computing, pseudosphere, phase, berry, Gordon, sine-Gordon, Baecklund, Aharonov, Bohm, Thirring, Lobachevski, Chebyshev, Kaehler, stereographic, projection, 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: 30 Sep 2002
Last Modified: 07 Oct 2010 15:11
Item ID: 818
URI: http://philsci-archive.pitt.edu/id/eprint/818

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