Geometry from Information Geometry

Ariel Caticha

Geometry from Information Geometry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1512.09076 v1 pith:Z6MI5UOY submitted 2015-12-30 gr-qc

Ariel Caticha This is my paper · ORCID

classification gr-qc

keywords geometryspaceinformationmodelphysicalchangesconformalcurved

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Entropic Dynamics of Exchange Rates and Options
q-fin.PR 2019-08 conditional novelty 4.0 of 10

The authors show that maximum-entropy reasoning, together with a scale-invariance argument for log returns, yields the standard Garman-Kohlhagen foreign-exchange option pricing model.

Pith tools