We present a model of Geometric Wavefunction Interactions, the GWI model, that offers an alternative (perhaps equivalent) representation of QED, and use it to explore the quantized impedance structure governing energy flow in Rabi oscillations.
Quantum Interpretations seek to explain observables from formal theory. Impedances govern the flow of energy, are helpful in such attempts. An earlier note documented first efforts to resolve the interpretational ambiguities and contentions from the practical perspective of our model-based approach. In the interim, discovery of the deep connections between the impedance model and geometric Clifford algebra has shed new light on the measurement problem and its manifestations, which we revisit here.
To bring scientific rigor to FQXi challenges[1] is the greatest challenge. Given the diverse community and vexing manner in which our organizers delight in framing issues, prevalent absence of rigor follows. Yet a substantial subset of the community is comprised of physicists, with no obvious tightening there of reason’s web. We have two immediate interests. First is to make our work accessible to larger communities, to focus on the theoretical minimum, on quantum interpretations as applied to the geometric wavefunction, to express geometric wavefunction physics in languages of most closely related disciplines. To function as interpreters[11]. Second is quantum impedance matching in nanoelectonics, beyond scale invariant quantum Hall impedance of vector Lorentz forces to those associated with all forces and their potentials. It appears the present status in that community is black art. Nobody knows what they’re doing. Impedance governs amplitude and phase of energy flow. One has to quantum impedance match if one wants to quantum compute effectively. This is just common sense.
We discuss the Jaynes-Cummings model in different representations of the algebra of canonical commutation relations. The first conclusion is that all the irreducible representations lead to equivalent physical predictions. However, the reducible representation recently introduced as a candidate for `QED without infinities' leads to new effects. We analyze from this perspective the experiments on Rabi oscillations performed by the Kastler-Brossel Laboratory group from Paris. Surprisingly, the results seem to support the reducible representation approach. We also discuss possibilities of more definitive tests of the new formalism.