Abstract

We show that the Frieden and Soffer's Extreme Physical Information principle, applied to a non-extensive statistical scenario, yields solutions to several well-known classical dynamical problems.

Highlights

  • A very active area of theoretical endeavour nowadays is that concerned with the investigation of properties and applications of Fisher’s information measure for translation families, whose applications to diverse problems in theoretical physics have been pioneered by Frieden, Soffer, Nikolov, Silver, and others [1,2,3,4,5,6,7,8,9,10,11,12,13]

  • Among them we can single out nonextensive thermostatistics (NET) [14], characterized by a parameter q

  • Friedman-Robertson-Walker spacetimes (FRW) are specially important in providing cosmological models which are in good agreement with observation

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Summary

Fisher’s Information for Translation Families

A very active area of theoretical endeavour nowadays is that concerned with the investigation of properties and applications of Fisher’s information measure for translation families (to be denoted herefrom as I), whose applications to diverse problems in theoretical physics have been pioneered by Frieden, Soffer, Nikolov, Silver, and others [1,2,3,4,5,6,7,8,9,10,11,12,13].

Non-extensive Thermostatistics
Entropic and Fisher’s measures within a NET context
The goal of the present communication
Fisher’s information in a nonextensive setting
The Frieden-Soffer EPI Principle
Introductory remarks
RELATIVISTIC AND MECHANICAL APPLICATIONS
Cosmological scenario
Mechanical applications
CONCLUSIONS
Full Text
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