Berry Phase and Fine Structure

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

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.