How fundamental is the character of thermal uncertainty relations?

Abstract

We show that thermodynamic uncertainties do not preserve their form if the underlying probability distribution is transformed into an escort one. Heisenberg's relations, on the other hand, are not affected by such transformation. We conclude therefore that the former uncertainty cannot be as fundamental as the quantum one.

4 pages, no figures

Cited by in corpus (5)

• Heisenberg-Fisher thermal uncertainty measure
• Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature
• Fisher information, Wehrl entropy, and Landau Diamagnetism
• Power-Law distributions and Fisher's information measure
• Quantum statistical information contained in a semi-classical Fisher--Husimi measure