Bohm's quantum potential and quantum force in superconductor

TL;DR

This paper explores the role of Bohm's quantum potential and quantum force in superconductors, highlighting differences between microscopic and macroscopic quantum phenomena and questioning the universality of quantum principles.

Contribution

It introduces a comparison between quantum effects in two-slit experiments and superconductors, emphasizing the need for additional postulates in macroscopic quantum descriptions.

Findings

Quantum force explains non-local momentum transfer in superconductors.

Ginzburg-Landau wave function cannot collapse, requiring extra postulates.

Gedankenexperiment challenges the universality of Heisenberg's uncertainty principle.

Abstract

The Bohm's quantum potential, introduced in 1952, and the quantum force in superconductor, introduced in 2001, allow to describe non-local force-free momentum transfer observed in the Ahronov-Bohm effects. Comparison of the Ahronov-Bohm effects in the two-slit interference experiment and in superconductor ring reveals fundamental difference between the Schrodinger wave function and the wave function describing macroscopic quantum phenomena. The Ginzburg-Landau wave function describing the superconductivity phenomenon can not collapse and an additional postulate, which was implied first by L.D. Landau, must be used for the description of macroscopic quantum phenomena. It is note that quantum principles and postulates should not be universal till the quantum formalism is only phenomenological theory but no description of an unique reality. A simple Gedankenexperiment is considered which challenges the universality of the Heisenberg uncertainty relation and the Bohr's complementarity principle.