On the Thermodynamic Origin of the Quantum Potential

TL;DR

This paper proposes that the quantum potential originates from a subtle thermal vacuum energy, linking quantum phenomena to classical diffusion-wave heat distributions, offering a new thermodynamic perspective.

Contribution

It demonstrates that the quantum potential can be derived from thermal vacuum energy and diffusion-wave heat distributions, providing a novel thermodynamic interpretation of quantum mechanics.

Findings

Quantum potential matches heat distribution in diffusion-wave fields

Thermal energy minimally affects free particle motion

Diffusion wave laws explain quantum potential features

Abstract

The quantum potential is shown to result from the presence of a subtle thermal vacuum energy distributed across the whole domain of an experimental setup. Explicitly, its form is demonstrated to be exactly identical to the heat distribution derived from the defining equation for classical diffusion-wave fields. For a single free particle path, this thermal energy does not significantly affect particle motion. However, in between different paths, or at interfaces, the accumulation-depletion law for diffusion waves provides an immediate new understanding of the quantum potential's main features.