Conformal Fisher information metric with torsion

Abstract We consider torsion in parameter manifolds that arises via conformal transformations of the Fisher information metric, and define it for geometry a wide class physical systems. The can be used to differentiate between probability distribution functions otherwise have same scalar curvature hence similar geometries. In context thermodynamic geometry, our construction gives rise new scalar—the defined on manifold, while retaining known features related other quantities. analyse this Van der Waals Curie–Weiss models. both cases, has non trivial behaviour spinodal curve. also briefly comment one dimensional classical Ising model show diverges exponentially near criticality.