Relational Entropic Dynamics of Particles
Abstract
The general framework of entropic dynamics is used to formulate a relational quantum dynamics. The main new idea is to use tools of information geometry to develop an entropic measure of the mismatch between successive configurations of a system. This leads to an entropic version of the classical best matching technique developed by J. Barbour and collaborators. The procedure is illustrated in the simple case of a system of N particles with global translational symmetry. The generalization to other symmetries whether global (rotational invariance) or local (gauge invariance) is straightforward. The entropic best matching allows a quantum implementation Mach's principles of spatial and temporal relationalism and provides the foundation for a method of handling gauge theories in an informational framework.
Cite
@article{arxiv.1601.01901,
title = {Relational Entropic Dynamics of Particles},
author = {Selman Ipek and Ariel Caticha},
journal= {arXiv preprint arXiv:1601.01901},
year = {2016}
}
Comments
Presented at MaxEnt 2015, the 35th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 19--24, 2015, Potsdam NY, USA)