Entropic Dynamics approach to Quantum Electrodynamics
Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Caticha, Ariel
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7106655199
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