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)