Entropic Dynamics approach to Quantum Electrodynamics

TL;DR

This paper extends the entropic dynamics framework to derive quantum electrodynamics, explaining gauge symmetries and deriving Maxwell equations from information-theoretic principles, offering a novel foundational perspective.

Contribution

It introduces a new entropic dynamics approach to quantum electrodynamics, incorporating gauge symmetries and deriving Maxwell equations from maximum entropy methods.

Findings

Successfully derives Maxwell equations from the ED framework.

Extends ED to include local gauge symmetries.

Provides a new foundational perspective on quantum electrodynamics.

Abstract

Entropic dynamics (ED) is a framework that allows one to derive quantum theory as a Hamilton-Killing flow on the cotangent bundle of a statistical manifold. These flows are such that they preserve the symplectic and the (information) metric geometries; they explain the linearity of quantum mechanics and the appearance of complex numbers. In this paper the ED framework is extended to deal with local gauge symmetries. More specifically, on the basis of maximum entropy methods and information geometry, for an appropriate choice of ontic variables and constraints, we derive the quantum electrodynamics of radiation fields interacting with charged particles. As a test that despite its unorthodox foundation the ED approach is empirically successful we derive the Maxwell equations.