On the Quantization Procedure in Classical Mechanics and the Reality of Bohm's Psi-Field

TL;DR

This paper links the stability of Hamiltonian systems to the Schrödinger equation, proposing that Bohm's electromagnetic Psi-field is real and explaining violations of Bell's inequality.

Contribution

It introduces a generalized stability condition derived from Chetaev's theorem, connecting quantum potential to electromagnetic perturbations and challenging the probabilistic interpretation of quantum mechanics.

Findings

Energy of perturbation forces matches Bohm's quantum potential

Violations of Bell's inequality explained by the reality of Bohm's Psi-field

Proposes alternative experiments observing nuclear stochastic resonance

Abstract

Using Chetaev's theorem on stable trajectories in dynamics in the presence of perturbation forces we obtain a generalized stability condition for Hamiltonian systems that has the form of the Schrodinger equation. We show that the energy of the perturbation forces generating generalized Chetaev's stability condition is of electromagnetic nature and exactly coincides with Bohm's "quantum" potential. We stress that not taking into account the reality of Bohm's electromagnetic Psi-field turns out to be the fundamental reason of violation of the famous Bell inequality, in the recent most precise direct experiments, as well as in theoretical calculations based on the simple Wigner model. We discuss the possibility of direct experiments, alternative to Bell's ideology and related, e.g. with observation of nuclear stochastic resonance during the alpha-decay process, which cannot occur in the framework of the probabilistic interpretation of quantum mechanics, but has to occur in the alternative Bohm interpretation.