Quantum Dynamics from Classical Dissipative Systems

TL;DR

This paper proposes a framework where quantum gauge theories emerge as infrared limits of classical higher-dimensional gauge theories, deriving quantum constants from classical quantities.

Contribution

It introduces a method to obtain quantum non-Abelian gauge theories from classical higher-dimensional systems and calculates Planck's constant within this classical context.

Findings

Quantum gauge theories can be derived from classical systems in higher dimensions.

Planck's constant is calculable from classical field theory parameters.

The classical-to-quantum transition is explicitly demonstrated.

Abstract

We argue that the quantized non-Abelian gauge theory can be obtained as the infrared limit of the corresponding classical gauge theory in a higher dimension. We show how the transformation from classical to quantum dynamics emerges and calculate Planck's constant from quantities defined in the underlying classical field theory.