# Unifying Quantum and Classical Dynamics

**Authors:** Abdul Rahaman Shaikh, Tabish Qureshi  
**arXiv:** [2601.10423](https://arxiv.org/abs/2601.10423)  
**Date:** 2026-01-15  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2601.10423v1/

## Abstract

Classical and quantum physics represent two distinct theories; however, quantum physics is regarded as the more fundamental of the two. It is posited that classical mechanics should arise from quantum mechanics under certain limiting conditions. Nevertheless, this remains a challenging objective. In this work, we explore the potential for unifying the dynamics of classical and quantum physics. This discussion does not suggest that classical behavior emerges from quantum mechanics; rather, it demonstrates the exact equivalence between the dynamics of quantum observables and their classical counterparts. It is shown that the Heisenberg equations of motion can be cast in a form that is identical to Newton's equations of motion, with $\hbar$ being absent from the formulation. This implies that both quantum and classical dynamics are governed by the same equations, with the Heisenberg operators substituting the classical observables.