An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

Details An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

2007-02-01

arxiv.org/abs/physics/0702011v2

AIP Conf. Proc. 872, 243 (2006)

Physics

Classical Physics

Presented at MaxEnt 2006, the 26th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2006,

Scientific paper

10.1063/1.2423281

Entropic Dynamics (ED) is a theoretical framework developed to investigate the possibility that laws of physics reflect laws of inference rather than laws of nature. In this work, a RED (Reversible Entropic Dynamics) model is considered. The geometric structure underlying the curved statistical manifold, M is studied. The trajectories of this particular model are hyperbolic curves (geodesics) on M. Finally, some analysis concerning the stability of these geodesics on M is carried out.

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