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Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature

F. Pennini·A. Plastino
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Abstract

Frieden and Soffer conjectured some years ago the existence of a ``Fisher temperature" T_F 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 T_F and T and provide an interpretation with reference to the meaning of T_F for the canonical ensemble.

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F. Pennini, A. Plastino. 2004-07-05. Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature. https://doi.org/10.1103/physreve.71.047102

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