From Information Geometry to Newtonian Dynamics

Details From Information Geometry to Newtonian Dynamics From Information Geometry to Newtonian Dynamics

2007-10-04

arxiv.org/abs/0710.1071v1

AIP Conf. Proc. 954, 165 (2007)

Physics

Classical Physics

Presented at MaxEnt 2007, the 27th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2007,

Scientific paper

10.1063/1.2821259

Newtonian 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.

Affiliated with

Also associated with

No associations

Rating

From Information Geometry to Newtonian Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From Information Geometry to Newtonian Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Information Geometry to Newtonian Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563750