Authors: Nathan O. Schmidt
The Fibonacci sequence is used to encode the harmonical and spiralling state space of topological strings in a 4D string theory. A fermion and its corresponding antifermion in the vacuum are interconnected with a Fibonacci fermion string ("open string" for spatial harmonics) and a Fibonacci boson string ("closed string" for temporal harmonics), where the strings are dual. The 1D Riemann surface represents 2D space and is equipped with order parameters of fractional statistics. The effective mass generated by the strings is used as the third spatial coordinate for 3D space. A Fibonacci fermion string couples a series of simple harmonic oscillators to represent the spatial state of a thin flux tube circulated by dual supercurrent vortices; the oscillators are distributed along the topology in accordance with the Fibonacci sequence. The Fibonacci boson strings correspond to a "Fibonacci gauge" with a Fibonacci-scaled radius or "gauge-amplitude"---a circle group that is isometrically embedded on the surface to render a 4D space-time. We demonstrate that this formulation is consistent with the spontaneous breaking of gauge symmetry, chiral symmetry, and the CPT-symmetry. We conclude by providing a problem-solution example scenario with frequency and energy calculations.
Comments: 7 pages and 3 figures
[v1] 2012-09-26 12:59:45
Unique-IP document downloads: 62 times
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