From Information Geometry to Newtonian Dynamics

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dc.creatorCaticha, Ariel
dc.creatorCafaro, Carlo
dc.date2007-10-04
dc.date.accessioned2026-07-07T13:18:00Z
dc.date.available2026-07-07T13:18:00Z
dc.descriptionNewtonian dynamics is derived from prior information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles so that the state of a particle is defined by a probability distribution. The corresponding configuration space is a statistical manifold the geometry of which is defined by the information metric. The trajectory follows from a principle of inference, the method of Maximum Entropy. No additional "physical" postulates such as an equation of motion, or an action principle, nor the concepts of momentum and of phase space, not even the notion of time, need to be postulated. The resulting entropic dynamics reproduces the Newtonian dynamics of any number of particles interacting among themselves and with external fields. Both the mass of the particles and their interactions are explained as a consequence of the underlying statistical manifold.
dc.descriptionPresented at MaxEnt 2007, the 27th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2007, Saratoga Springs, New York, USA)
dc.identifierhttps://arxiv.org/abs/0710.1071
dc.identifierhttp://arxiv.org/abs/0710.1071
dc.identifierAIP Conf. Proc. 954, 165 (2007)
dc.identifierdoi:10.1063/1.2821259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231295
dc.subjectClassical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectChaotic Dynamics
dc.subjectData Analysis, Statistics and Probability
dc.titleFrom Information Geometry to Newtonian Dynamics
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