Schroedinger equation and classical physics

TL;DR

This paper argues that Schr"odinger equation solutions can be directly related to classical physics, challenging Copenhagen interpretation and emphasizing its potential to describe both microscopic and macroscopic systems without additional assumptions.

Contribution

It demonstrates that Schr"odinger equation can represent classical statistical distributions and suggests a unified physical theory beyond standard quantum phenomenology.

Findings

Schr"odinger solutions correlate with Hamilton equations

Copenhagen interpretation is challenged by Bell's inequalities

Schr"odinger equation can describe both microscopic and macroscopic systems

Abstract

Any time-dependent solution of Schr\"{o}dinger equation may be always correlated to a solution of Hamilton equations or to a statistical combination of their solutions; only the set of corresponding solutions is somewhat smaller (due to existence of quantization). There is not any reason to the physical interpretation according to Copenhagen alternative as Bell's inequalities are valid in the classical physics only (and not in any alternative based on Schr\"{o}dinger equation). The advantage of Schr\"{o}dinger equation consists then in that it enables to represent directly the time evolution of a statistical distribution of classical initial states (which is usual in collision experiments). The Schr\"{o}dinger equation (without assumptions added by Bohr) may then represent the common physical theory for microscopic as well as macroscopic physical systems. However, together with the last possibility the solutions of Schr\"{o}dinger equation may be helpful also in analyzing the influence of other statistically distributed properties (e.g., spin orientations or space structures) of individual matter objects forming a corresponding physical system, which goes in principle beyond the classical physics. In any case, the contemporary quantum theory represents the phenomenological approximative description of some matter characteristics only, without providing any insight into quantum mechanism emergence. In such a case it is necessary to take into account more detailed properties at least of some involved objects.