Operational Dynamic Modeling Transcending Quantum and Classical Mechanics

TL;DR

This paper presents a comprehensive theoretical framework called Operational Dynamic Modeling (ODM) that unifies classical and quantum mechanics by combining observable algebra with average value evolution, enabling new theory development.

Contribution

The paper introduces ODM as a systematic approach that unifies classical and quantum dynamics through a common formalism based on observable algebra and Ehrenfest-like theorems.

Findings

ODM encompasses classical mechanics and quantum field theory.

Provides a basis for formulating novel physical theories.

Unifies diverse dynamical systems within a single framework.

Abstract

We introduce a general and systematic theoretical framework for Operational Dynamic Modeling (ODM) by combining a kinematic description of a model with the evolution of the dynamical average values. The kinematics includes the algebra of the observables and their defined averages. The evolution of the average values is drawn in the form of Ehrenfest-like theorems. We show that ODM is capable of encompassing wide ranging dynamics from classical non-relativistic mechanics to quantum field theory. The generality of ODM should provide a basis for formulating novel theories.