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This essay presents conclusive evidence of the impermissibility of Copenhagen’s
single system interpretation of the Schroedinger process. The latter needs to be
viewed as a tool exclusively describing phase and orientation randomized
ensembles and is not to be used for isolated single systems. Asymptotic
closeness of single system and ensemble behavior and the rare nature of true
single system manifestations have prevented a definitive identification of this
Copenhagen deficiency over the past three quarter century. Quantum uncertainty
so becomes a basic trade mark of phase and orientation disordered 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 the general theory of relativity. The
discovery of the quantum Hall effect has been instrumental in forcing a
distinction between ensemble disorder as in 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- or meso-scopic single system, the period
integral description applies, yielding a straightforward unified description of
integer and fractional quantum Hall effects.
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