Copenhagen's single system premise prevents a unified view of integer and fractional quantum hall effect

This essay presents conclusive evidence of the impermissibility of Copenhag en's single system interpretation of the Schroedinger process. The latter n eeds to be viewed as a tool exclusively describing phase and orientation ra ndomized ensembles and is not be used for isolated single systems. Asymptot ic closeness of single system and ensemble behavior and the rare nature of true single system manifestations have prevented a definitive identificatio n of this Copenhagen deficiency over the past three quarter century. Quantu m uncertainty so becomes a basic trade mark of phase and orientation disord ered ensembles. The ensuing void of usable single system tools opens a new inquiry for tools without statistical connotations. Three, in part already known, period integrals here identified as flux, charge and action counters emerge as diffeo-4 invariant tools fully compatible with the demands of th e general theory of relativity. The discovery of the quantum Hall effect ha s been instrumental in forcing a distinction between ensemble disorder as i n the normal Hall effect versus ensemble order in the plateau states. Since the order of the latter permits a view of the plateau states as a macro- o r meso-scopic single system, the period integral description applies. yield ing a straightforward unified description of integer and fractional quantum Hall effects.