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- W3048871761 abstract "Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles. Here, we develop the entropic dynamics of a system, the state of which is described by a probability distribution. Thus, the dynamics unfolds on a statistical manifold that is automatically endowed by a metric structure provided by information geometry. The curvature of the manifold has a significant influence. We focus our dynamics on the statistical manifold of Gibbs distributions (also known as canonical distributions or the exponential family). The model includes an “entropic” notion of time that is tailored to the system under study; the system is its own clock. As one might expect that entropic time is intrinsically directional; there is a natural arrow of time that is led by entropic considerations. As illustrative examples, we discuss dynamics on a space of Gaussians and the discrete three-state system." @default.
- W3048871761 created "2020-08-18" @default.
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- W3048871761 date "2021-04-21" @default.
- W3048871761 modified "2023-10-03" @default.
- W3048871761 title "Entropic Dynamics on Gibbs Statistical Manifolds" @default.
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- W3048871761 doi "https://doi.org/10.3390/e23050494" @default.
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