Entropic Quantization of Scalar Fields

TL;DR

This paper derives quantum scalar field theory using entropic dynamics, applying entropy maximization and information geometry to obtain Hamiltonian dynamics and the Schrödinger representation.

Contribution

It introduces a novel entropic derivation of quantum field theory, connecting information theory with fundamental physics.

Findings

Derivation of Hamiltonian dynamics from entropic principles

Standard quantum field theory obtained via information geometry

Provides a new perspective on quantum scalar fields

Abstract

Entropic Dynamics is an information-based framework that seeks to derive the laws of physics as an application of the methods of entropic inference. The dynamics is derived by maximizing an entropy subject to constraints that represent the physically relevant information that the motion is continuous and non-dissipative. Here we focus on the quantum theory of scalar fields. We provide an entropic derivation of Hamiltonian dynamics and using concepts from information geometry derive the standard quantum field theory in the Schroedinger representation.