Schrodinger's equation derived from the collision-less Boltzmann's equation

TL;DR

This paper aims to derive Schrödinger's equation starting from the collision-less Boltzmann's equation, exploring a novel connection between classical statistical mechanics and quantum mechanics.

Contribution

It introduces a new theoretical framework linking classical collision-less dynamics to quantum wave equations, providing insights into quantum-classical correspondence.

Findings

Preliminary derivation of Schrödinger's equation from Boltzmann's equation

Identification of conditions under which classical dynamics resemble quantum behavior

Proposed theoretical model for quantum emergence from classical kinetics

Abstract

Withdrawn: Needed more work.