Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature
F. Pennini, A. Plastino
Abstract
Frieden and Soffer conjectured some years ago the existence of a ``Fisher temperature" TF that would play, with regards to Fisher's information measure I, the same role that the ordinary temperature T plays vis-a-vis Shannon's logarithmic measure. Here we exhibit the existence of reciprocity relations between TF and T and provide an interpretation with reference to the meaning of TF for the canonical ensemble.
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