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Title: Entropic dynamics: From entropy and information geometry to Hamiltonians and quantum mechanics

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 Schrödinger equation follows naturally from information geometry.
Authors:
;  [1] ;  [2]
  1. Department of Physics, University at Albany-SUNY, Albany, NY 12222 (United States)
  2. Physicalisch-Technische Bundesanstalt, 38116 Braunschweig (Germany)
Publication Date:
OSTI Identifier:
22390859
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1641; Journal Issue: 1; Conference: MAXENT 2014: Conference on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Clos Luce, Amboise (France), 21-26 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; HAMILTONIANS; POTENTIALS; QUANTUM MECHANICS; SCHROEDINGER EQUATION