Geometry from Information Geometry

Ariel Caticha

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arXiv · 1512.09076

Geometry from Information Geometry

Ariel Caticha

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Abstract

We use the method of maximum entropy to model physical space as a curved statistical manifold. It is then natural to use information geometry to explain the geometry of space. We find that the resultant information metric does not describe the full geometry of space but only its conformal geometry -- the geometry up to local changes of scale. Remarkably, this is precisely what is needed to model "physical" space in general relativity.

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Ariel Caticha. 2015-12-30. Geometry from Information Geometry. https://arxiv.org/abs/1512.09076

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