Abstract

The paper is an interpretive adjustment of quantum fundamentals. Early days have been marked by too freely taken refuge in non-classical concepts that have not led to substantiation. While Schr?dinger's mathematical structure is not affected, incisive interpretive changes are called for. Its applicability now strictly covers only ensembles subject to classical statistics. Nonclassical statistics are in-complete temporary escapes. The pre-statistical processes of Aharonov-Bohm and Gauss Amp?re, have been extended by Kiehn into a de Rham cohomology, applying to single systems. Metric independence secures macro and micro applicability. The pre-1925 quantum methods are so recast into probes of single system topological structue. Unlike the deep-freeze nonclasical statistics, a classical statistics permits disorder-order transitions e.g., Bose-Einstein condensation. These transitions help in understanding a range of related phe-nomena. The  function so becomes a correlation statistics describing mutual phase and orientation behavior in the ensemble; this re-places the current Copenhagen's probability density of presence.