Quantum potential energy as concealed motion

TL;DR

This paper presents a hydrodynamic interpretation of quantum potential energy, suggesting it can be viewed as kinetic energy of concealed degrees of freedom, offering an alternative perspective on quantum mechanics and Planck's constant.

Contribution

It introduces a novel interpretation of quantum potential energy as kinetic energy of hidden variables using Routh's method, providing an alternative view to canonical quantization.

Findings

Quantum potential energy can be seen as kinetic energy of concealed freedoms.

Planck's constant acts as a hidden variable in this framework.

The approach offers a new perspective on the origin of quantum effects.

Abstract

It is known that the Schroedinger equation may be derived from a hydrodynamic model in which the Lagrangian position coordinates of a continuum of particles represent the quantum state. Using Routh\s method of ignorable coordinates it is shown that the quantum potential energy of particle interaction that represents quantum effects in this model may be regarded as the kinetic energy of additional concealed freedoms. The method brings an alternative perspective to Planck\s constant, which plays the role of a hidden variable, and to the canonical quantization procedure, since what is termed kinetic energy in quantum mechanics may be regarded literally as energy due to motion.