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Entropic Dynamics Approach to Quantum Electrodynamics.

Ariel Caticha¹

¹Physics Department, University at Albany-SUNY, Albany, NY 12222, USA.

Entropy (Basel, Switzerland)

|December 24, 2025

Summary

This summary is machine-generated.

Entropic Dynamics (ED) explains quantum mechanics using information geometry. This study extends ED to incorporate local gauge symmetries, deriving quantum field theory for interacting radiation and charged particles.

Keywords:

entropic dynamics foundations of quantum mechanics gauge theory quantum electrodynamics

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Area of Science:

Theoretical Physics
Quantum Mechanics
Information Geometry

Background:

Entropic Dynamics (ED) provides a framework to derive quantum theory from information-theoretic principles.
Existing ED models explain quantum linearity and complex numbers via geometric flows.
The framework needs extension to handle local gauge symmetries.

Purpose of the Study:

To extend the Entropic Dynamics framework to incorporate local gauge symmetries.
To derive quantum dynamics of radiation fields interacting with charged particles within the ED formalism.
To utilize maximum entropy methods and information geometry for this derivation.

Main Methods:

Formulating quantum theory as Hamilton-Killing flows on statistical manifolds.
Preserving symplectic and metric geometries in the flow dynamics.
Applying maximum entropy principles and information geometry to define ontic variables and constraints.

Main Results:

Successfully extended Entropic Dynamics to include local gauge symmetries.
Derived the quantum dynamics of radiation fields interacting with charged particles.
Demonstrated the framework's ability to explain fundamental aspects of quantum field theory.

Conclusions:

Entropic Dynamics offers a powerful approach to foundational quantum mechanics and quantum field theory.
The information-geometric perspective provides new insights into gauge symmetries and particle interactions.
This work paves the way for further applications of ED in quantum physics.