Reparametrization invariant statistical inference and gravity

Details Reparametrization invariant statistical inference and gravity Reparametrization invariant statistical inference and gravity

1997-03-19

arxiv.org/abs/hep-th/9703135v1

Phys.Rev.Lett. 78 (1997) 4671-4674

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTex

Scientific paper

10.1103/PhysRevLett.78.4671

Bialek, Callan and Strong have recently given a solution of the problem of determining a continuous probability distribution from a finite set of experimental measurements by formulating it as a one-dimensional quantum field theory. This letter gives a reparametrization-invariant solution of the problem, obtained by coupling to gravity. The case of a large number of dimensions may involve quantum gravity restricted to metrics of vanishing Weyl curvature.

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