Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics
arXiv:1412.5629 · doi:10.1063/1.4905974
Abstract
Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate constraints. In this paper we show how a Hamiltonian dynamics arises as a type of non-dissipative entropic dynamics. We also show that the particular form of the "quantum potential" that leads to the Schroedinger equation follows naturally from information geometry.
11 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)