An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

Carlo Cafaro; S. A. Ali; Adom Giffin

doi:10.1063/1.2423281

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An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

Carlo Cafaro·S. A. Ali·Adom Giffin

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Abstract

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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physics.class-ph cond-mat.stat-mech gr-qc math-ph math.MP physics.gen-ph

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Carlo Cafaro, S. A. Ali, Adom Giffin. 2009-01-09. An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds. https://doi.org/10.1063/1.2423281

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