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Entropy 2015, 17(9), 6110-6128; doi:10.3390/e17096110

Entropic Dynamics

Physics Department, University at Albany-SUNY, Albany, NY 12222, USA
Academic Editor: Carlo Cafaro
Received: 7 June 2015 / Revised: 22 August 2015 / Accepted: 25 August 2015 / Published: 1 September 2015
(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
View Full-Text   |   Download PDF [225 KB, uploaded 1 September 2015]

Abstract

Entropic Dynamics is a framework in which dynamical laws are derived as an application of entropic methods of inference. No underlying action principle is postulated. Instead, the dynamics is driven by entropy subject to the constraints appropriate to the problem at hand. In this paper we review three examples of entropic dynamics. First we tackle the simpler case of a standard diffusion process which allows us to address the central issue of the nature of time. Then we show that imposing the additional constraint that the dynamics be non-dissipative leads to Hamiltonian dynamics. Finally, considerations from information geometry naturally lead to the type of Hamiltonian that describes quantum theory. View Full-Text
Keywords: maximum entropy; quantum theory; entropic dynamics maximum entropy; quantum theory; entropic dynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Caticha, A. Entropic Dynamics. Entropy 2015, 17, 6110-6128.

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