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Berry Phase and Fine Structure

Binder, Bernd (2002) Berry Phase and Fine Structure. [Preprint]

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    Abstract

    Irrational numbers can be assigned to physical entities based on iterative processes of geometric objects. It is likely that iterative round trips of vector signals include a geometric phase component. If so, this component will couple back to the round trip frequency or path length generating an non-linear feedback loop (i.e. induced by precession). In this paper such a quantum feedback mechanism is defined including generalized fine structure constants in accordance with the fundamental gravitomagnetic relation of spin-orbit coupling. Supported by measurements, the general relativistic and topological background allows to propose, that the deviation of the fine structure constant from 1/137 could be assigned to Berry's phase. The interpretation is straightforward: spacetime curvature effects can be greatly amplified by non-linear phase-locked feedback-loops adjusted to single-valued phase relationships in the quantum regime.


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    Item Type: Preprint
    Keywords: Berry phase, Aharonov-Bohm effect, gauge theory, fine structure constant, gravitomagnetic interaction, chaos, spin-orbit coupling, quantum electrodynamics, magnetic monopole, winding number
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Bernd Binder
    Date Deposited: 06 Aug 2002
    Last Modified: 07 Oct 2010 11:10
    Item ID: 682
    URI: http://philsci-archive.pitt.edu/id/eprint/682

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