Entropic Quantization of 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.

10 pages. Presented at MaxEnt 2014, the 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (September 21--26, 2014, Amboise, France)

References in corpus (3)

• Bosonic field equations from an exact uncertainty principle
• Entropic Dynamics: an Inference Approach to Quantum Theory, Time and Measurement
• Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics

Cited by in corpus (13)

• Entropic Dynamics
• The Entropic Dynamics approach to Quantum Mechanics
• Entropic Dynamics: Reconstructing Quantum Field Theory in Curved Space-time
• Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics
• Exact Renormalization Groups as a form of Entropic Dynamics
• Approach to Data Science with Multiscale Information Theory
• The Inferential Design of Entropy and its Application to Quantum Measurements
• Quantum Scalar Field Theory Based on the Extended Least Action Principle
• The Entropic Dynamics of Spin
• Entropic Dynamics: A hybrid-contextual theory of Quantum Mechanics
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Entropic Dynamics: Mechanics without Mechanism
• Alternative Framework to Quantize Fermionic Fields