Authors: Peter Cameron
The chiral potential is inverse square. The family of inverse square potentials includes the vector Lorentz potential of the quantum Hall and Aharonov-Bohm effects, and the centrifugal, Coriolis, and three body potentials. The associated impedances are scale invariant, quantum Hall being the most familiar. Modes associated with scale invariant impedances communicate only quantum phase, not an observable in a single quantum measurement. Modes associated with scale dependent impedances, including among others those of the 1/r monopole and 1/r^3 dipole potentials, communicate both phase and energy. Making this clarifying distinction between phase (relative time) and energy explicit presents a new perspective on the anomaly. This approach is introduced via the Rosetta Stone of modern physics, the hydrogen atom. Precise impedance-based pizero, eta, and eta' branching ratio calculations are presented as ratios of polynomials in powers of the fine structure constant, followed by discussion. Mass generation via chiral symmetry breaking is not addressed in the present paper.
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